Index: doc/theses/aaron_moss_PhD/phd/Makefile =================================================================== --- doc/theses/aaron_moss_PhD/phd/Makefile (revision 4c41b17f9e72343a9e9c2c718c0ce820021b603a) +++ doc/theses/aaron_moss_PhD/phd/Makefile (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -40,4 +40,5 @@ tests-completed \ per-prob-histo \ +per-prob-depth \ } @@ -73,4 +74,7 @@ gnuplot -e BUILD="'${BUILD}/'" ${EVALDIR}/per-prob.gp +per-prob-depth.tex : per-prob-scatter.gp ${BUILD} + gnuplot -e BUILD="'${BUILD}/'" ${EVALDIR}/per-prob-scatter.gp + ${BUILD}: mkdir -p ${BUILD} Index: doc/theses/aaron_moss_PhD/phd/evaluation/per-prob-scatter.gp =================================================================== --- doc/theses/aaron_moss_PhD/phd/evaluation/per-prob-scatter.gp (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) +++ doc/theses/aaron_moss_PhD/phd/evaluation/per-prob-scatter.gp (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -0,0 +1,47 @@ +# set terminal pdfcairo size 6,3 +# BUILD = "build/" +set terminal pslatex size 6.25,2.5 color solid + +set datafile separator "," + +tests = "io1 io2 math1 math2 math3 math4 minmax rational searchsort swap kernel preemption imgui" + +# BY DEPTH # +set output BUILD."per-prob-depth.tex" + +set xlabel "max depth" +set ylabel "runtime (ms)" +set logscale xy + +set key outside + +plot for [i=1:words(tests)] 'evaluation/per_prob/'.word(tests, i).'-per-prob.csv' using 2:(column(7)/1000) title word(tests, i) + +# # BY PARAMETER LIST WIDTH # +# set output BUILD."per-prob-params.pdf" + +# set xlabel "max params" + +# plot for [i=1:words(tests)] 'evaluation/per_prob/'.word(tests, i).'-per-prob.csv' using 3:(column(7)/1000) title word(tests, i) + +# BY SUBEXPRS # +set output BUILD."per-prob-subs.tex" + +set xlabel "number of subexpressions" + +plot for [i=1:words(tests)] 'evaluation/per_prob/'.word(tests, i).'-per-prob.csv' using 4:(column(7)/1000) title word(tests, i) + +# # BY MAX OVERLOADS # +# set output BUILD."per-prob-overloads.pdf" + +# set xlabel "max name overloads" + +# plot for [i=1:words(tests)] 'evaluation/per_prob/'.word(tests, i).'-per-prob.csv' using 5:(column(7)/1000) title word(tests, i) + +# BY ASSERTIONS # +set output BUILD."per-prob-assns.tex" + +set xlabel "assertions resolved" + +plot for [i=1:words(tests)] 'evaluation/per_prob/'.word(tests, i).'-per-prob.csv' using 6:(column(7)/1000) title word(tests, i) + Index: doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/imgui-per-prob.csv =================================================================== --- doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/imgui-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) +++ doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/imgui-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -0,0 +1,7115 @@ +3583,2,1,2,377,0,50 +3584,2,3,4,377,0,151 +3585,2,1,2,54,0,27 +3586,1,0,1,0,0,2 +3587,1,0,1,0,0,2 +3588,2,1,2,377,0,23 +3589,2,3,4,377,0,155 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+2950,2,2,3,80,0,29 +2967,2,2,3,80,0,283 +2968,1,0,1,0,0,2 +2969,2,2,3,80,0,276 +2970,1,0,1,0,0,2 +2971,2,2,3,80,0,279 +2972,1,0,1,0,0,2 +2973,10,3,32,57,168,681480 +2974,5,2,9,57,84,66556 +2975,5,2,9,57,84,52501 +2976,7,2,13,57,126,41009 +2977,2,2,3,57,21,1136 +2978,3,2,5,57,42,2111 +2979,23,2,45,57,462,257195 +2980,3,2,5,57,42,9687 +2981,25,2,49,57,504,281080 +2982,3,2,5,57,42,10421 +2983,24,2,47,57,483,254837 +2984,3,2,5,57,42,2209 +2985,10,2,19,57,189,72904 +2986,2,2,3,57,21,1214 +2987,2,2,3,80,0,271 +2988,2,2,3,80,0,291 Index: doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/io2-per-prob.csv =================================================================== --- doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/io2-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) +++ doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/io2-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -0,0 +1,298 @@ +2227,2,2,3,80,0,262 +2238,3,2,5,80,,51 +2253,2,1,2,81,,10 +2254,2,2,3,81,0,23 +2255,2,1,2,31,0,9 +2256,1,0,1,1,0,2 +2257,2,2,3,20,0,47 +2258,2,2,3,81,0,28 +2270,3,2,5,80,,56 +2285,2,1,2,81,,10 +2286,2,2,3,81,0,27 +2287,2,1,2,31,0,10 +2288,1,0,1,1,0,2 +2289,2,2,3,20,0,38 +2290,2,2,3,81,0,27 +2299,3,2,5,80,0,336 +2300,2,2,3,80,0,267 +2309,3,2,5,80,0,314 +2310,2,2,3,80,0,262 +2319,3,2,5,80,0,315 +2320,2,2,3,80,0,284 +2329,3,2,5,80,0,317 +2330,2,2,3,80,0,270 +2339,3,2,5,80,0,316 +2340,2,2,3,80,0,275 +2349,3,2,5,80,0,307 +2350,2,2,3,80,0,265 +2360,1,0,1,0,0,2 +2361,2,2,3,80,0,276 +2362,2,2,3,80,0,271 +2363,1,0,1,0,0,2 +2364,4,2,7,80,0,772 +2365,2,2,3,80,0,259 +2366,2,2,3,80,0,271 +2367,1,0,1,0,0,1 +2368,1,0,1,0,0,2 +2369,2,2,3,10,0,116 +2370,1,0,1,0,0,2 +2371,2,2,3,18,0,142 +2372,2,2,3,18,0,140 +2373,3,2,5,80,0,519 +2374,2,2,3,80,0,278 +2395,1,0,1,0,0,2 +2396,2,2,3,83,0,60 +2397,2,2,3,83,0,29 +2398,2,1,2,83,0,12 +2399,2,2,3,83,0,52 +2400,2,1,2,31,0,11 +2401,1,0,1,0,0,2 +2402,1,0,1,0,0,2 +2403,2,2,3,10,0,97 +2404,1,0,1,0,0,2 +2405,3,2,5,32,0,34 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+2667,2,2,3,31,,2 +2674,2,2,3,31,,2 +2702,1,0,1,0,0,2 +2703,2,2,3,80,0,276 +2704,2,2,3,80,0,296 +2713,2,2,3,80,0,280 +2714,1,0,1,0,0,2 +2715,1,0,1,0,0,2 +2716,1,0,1,0,0,2 +2717,2,2,3,80,0,280 +2718,1,0,1,0,0,2 +2719,1,0,1,0,0,2 +2720,1,0,1,0,0,1 +2730,2,2,3,80,0,278 +2731,1,0,1,0,0,1 +2732,1,0,1,0,0,1 +2733,1,0,1,0,0,2 +2734,2,2,3,80,0,280 +2735,1,0,1,0,0,2 +2736,1,0,1,0,0,1 +2737,1,0,1,0,0,2 +2746,2,2,3,80,0,279 +2747,1,0,1,0,0,2 +2748,1,0,1,0,0,1 +2749,1,0,1,0,0,2 +2750,2,2,3,80,0,278 +2751,1,0,1,0,0,2 +2752,1,0,1,0,0,2 +2753,1,0,1,0,0,2 +2764,1,0,1,0,0,2 +2765,1,0,1,0,0,2 +2766,1,0,1,0,0,2 +2767,1,0,1,0,0,2 +2768,1,0,1,0,0,2 +2769,2,2,3,80,0,281 +2770,1,0,1,0,0,2 +2771,1,0,1,0,0,2 +2772,1,0,1,0,0,1 +2773,1,0,1,0,0,2 +2774,2,2,3,80,0,283 +2775,1,0,1,0,0,2 +2776,1,0,1,0,0,1 +2777,1,0,1,0,0,2 +2778,1,0,1,0,0,1 +2779,2,2,3,80,0,31 +2780,2,2,3,80,0,30 +2790,2,2,3,80,0,283 +2791,1,0,1,0,0,2 +2792,1,0,1,0,0,2 +2793,1,0,1,0,0,1 +2794,2,2,3,80,0,281 +2795,1,0,1,0,0,2 +2796,1,0,1,0,0,1 +2797,1,0,1,0,0,2 +2808,2,2,3,80,0,281 +2809,1,0,1,0,0,2 +2810,1,0,1,0,0,2 +2811,1,0,1,0,0,2 +2812,2,2,3,80,0,289 +2813,1,0,1,0,0,2 +2814,1,0,1,0,0,2 +2815,1,0,1,0,0,2 +2827,2,2,3,80,0,281 +2828,1,0,1,0,0,2 +2829,1,0,1,0,0,2 +2830,1,0,1,0,0,1 +2831,2,2,3,80,0,280 +2832,1,0,1,0,0,2 +2833,1,0,1,0,0,1 +2834,1,0,1,0,0,2 +2847,2,2,3,80,0,280 +2848,1,0,1,0,0,2 +2849,1,0,1,0,0,2 +2850,1,0,1,0,0,2 +2851,2,2,3,80,0,281 +2852,1,0,1,0,0,2 +2853,1,0,1,0,0,2 +2854,1,0,1,0,0,2 +2868,2,2,3,80,0,279 +2869,1,0,1,0,0,2 +2870,1,0,1,0,0,2 +2871,1,0,1,0,0,2 +2872,2,2,3,80,0,282 +2873,1,0,1,0,0,2 +2874,1,0,1,0,0,2 +2875,1,0,1,0,0,2 +2890,2,2,3,80,0,280 +2891,1,0,1,0,0,2 +2892,1,0,1,0,0,2 +2893,1,0,1,0,0,2 +2894,2,2,3,80,0,281 +2895,1,0,1,0,0,2 +2896,1,0,1,0,0,2 +2897,1,0,1,0,0,2 +2913,2,2,3,80,0,281 +2914,1,0,1,0,0,2 +2915,1,0,1,0,0,2 +2916,1,0,1,0,0,2 +2917,2,2,3,80,0,278 +2918,1,0,1,0,0,1 +2919,1,0,1,0,0,1 +2920,1,0,1,0,0,1 +2948,1,0,1,0,0,2 +2949,2,2,3,80,0,29 +2950,2,2,3,80,0,28 +2993,2,2,3,80,0,278 +2994,1,0,1,0,0,2 +2995,1,0,1,0,0,1 +2996,2,1,2,80,0,12 +2997,2,2,3,80,0,31 +2998,2,1,2,30,0,11 +2999,1,0,1,0,0,2 +3000,3,2,5,57,42,2732 +3001,21,2,44,57,392,710582 +3002,2,2,3,57,21,30757 +3003,3,2,5,57,42,2273 +3004,26,2,51,57,,574461 +3005,2,2,3,57,21,1903 +3006,3,2,5,57,42,2295 +3007,2,2,3,80,,44 +3008,2,1,2,80,,188 +3009,2,1,2,80,,175 +3010,2,1,2,80,,175 +3011,2,1,2,80,,174 +3012,2,1,2,80,,174 +3013,2,1,2,80,,175 +3014,1,0,1,0,0,2 +3015,2,2,3,80,,48 +3016,2,1,2,80,,174 +3017,2,1,2,80,,174 +3018,2,1,2,80,,173 +3019,2,1,2,80,,174 +3020,2,1,2,80,,182 +3021,2,1,2,80,,176 +3022,1,0,1,0,0,3 +3023,4,2,7,57,35,3119 +3024,2,2,3,57,21,1145 +3025,3,2,5,57,42,2129 +3026,35,2,69,57,,514493 +3027,2,2,3,57,21,23713 +3028,3,2,5,57,42,2250 +3029,4,2,7,57,49,2969 +3030,2,2,3,2,0,12 +3031,5,2,9,57,70,4599 +3032,15,2,29,57,266,149441 +3033,2,2,3,57,21,9656 +3034,4,2,7,57,49,3106 +3035,2,2,3,2,0,13 +3036,5,2,9,57,70,4558 +3037,15,2,29,57,266,148733 +3038,2,2,3,57,21,10026 +3039,3,2,5,57,42,2390 +3040,7,2,13,57,112,64704 +3041,6,2,11,57,91,52328 +3042,10,2,19,57,161,77520 +3043,6,2,11,57,91,56979 +3044,5,2,9,57,84,55363 +3045,2,2,3,57,21,1264 +3046,3,2,5,57,42,2141 +3047,6,2,11,57,91,66731 +3048,6,2,11,57,91,53295 +3049,7,2,13,57,98,67222 +3050,6,2,11,57,91,57016 +3051,7,2,13,57,98,57259 +3052,7,2,13,57,98,57571 +3053,5,2,9,57,84,56157 +3054,2,2,3,57,21,1263 +3055,2,2,3,2,0,16 +3056,7,2,13,57,84,10467 +3057,2,2,3,2,0,30 +3058,7,2,13,57,84,7828 +3059,4,2,7,57,35,3496 +3060,2,2,3,57,21,1119 +3061,2,5,6,80,,78 +3062,2,1,2,80,,181 +3063,2,1,2,80,,177 +3064,2,1,2,80,,176 +3065,2,1,2,80,,177 +3066,1,0,1,0,0,3 +3067,1,0,1,0,0,2 +3068,1,0,1,0,0,2 +3069,1,0,1,0,0,2 +3070,3,4,7,57,,78 +3071,3,2,5,57,28,2497 +3072,2,2,3,2,0,14 +3073,3,2,5,57,28,2350 +3074,8,2,15,57,63,7910 +3075,2,2,3,2,0,17 +3076,2,2,3,2,0,12 +3077,6,2,11,57,77,40404 +3078,2,2,3,80,0,324 +3079,2,2,3,80,0,312 +3106,1,0,1,0,0,3 +3107,2,2,3,80,0,310 +3108,2,2,3,80,0,309 Index: doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/kernel-per-prob.csv =================================================================== --- doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/kernel-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) +++ doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/kernel-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -0,0 +1,3575 @@ +4974,2,2,3,836,0,2200 +4975,2,2,3,836,0,2390 +4976,2,2,3,836,0,2453 +4977,2,2,3,836,0,2396 +4978,2,2,3,836,0,2405 +4979,2,2,3,836,0,2570 +4980,2,2,3,836,0,2450 +4981,2,2,3,836,0,2392 +4982,2,2,3,836,0,2434 +4983,2,2,3,836,0,2369 +4984,2,2,3,836,0,2437 +4985,2,2,3,836,0,2416 +4986,2,2,3,836,0,2433 +4987,2,2,3,836,0,2396 +4988,2,2,3,836,0,2404 +4989,2,2,3,836,0,2424 +4990,2,2,3,836,0,2403 +4991,2,2,3,836,0,2410 +4992,2,2,3,836,0,2423 +4993,2,2,3,836,0,2379 +4994,2,2,3,836,0,2435 +4995,2,2,3,836,0,2427 +4996,2,2,3,836,0,2436 +4997,2,2,3,836,0,2420 +4998,2,2,3,836,0,2410 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+20838,3,2,4,3,0,24 +20839,3,1,3,7,0,10 +20847,4,2,5,1,0,22 +20848,4,2,5,1,0,25 +20849,4,1,4,1,0,15 +20857,4,2,5,1,0,20 +20858,4,2,5,3,0,27 +20859,4,1,4,1,0,15 +20867,4,2,5,1,0,19 +20868,4,2,6,1,0,37 +20869,4,1,4,1,0,16 +20877,4,2,5,1,0,23 +20878,4,2,6,3,0,41 +20879,4,1,4,1,0,14 +20887,3,2,4,169,0,90 +20888,3,2,5,169,0,88 Index: doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/math1-per-prob.csv =================================================================== --- doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/math1-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) +++ doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/math1-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -0,0 +1,716 @@ +3025,2,2,3,87,0,337 +3026,2,2,3,87,0,291 +3027,2,2,3,87,0,287 +3028,2,2,3,87,0,284 +3029,2,2,3,87,0,294 +3030,2,2,3,87,0,286 +3031,2,2,3,87,0,288 +3042,3,2,5,87,,71 +3057,2,1,2,88,,13 +3058,2,2,3,88,0,34 +3059,2,1,2,32,0,13 +3060,1,0,1,1,0,2 +3061,2,2,3,20,0,37 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+5997,6,2,17,57,105,58198 +5998,6,2,17,57,105,59158 +5999,2,2,3,87,0,370 +6000,2,2,3,87,0,312 Index: doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/minmax-per-prob.csv =================================================================== --- doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/minmax-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) +++ doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/minmax-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -0,0 +1,741 @@ +2707,2,2,3,205,0,557 +2718,3,2,5,205,,76 +2733,2,1,2,206,,13 +2734,2,2,3,206,0,62 +2735,2,1,2,58,0,16 +2736,1,0,1,1,0,2 +2737,2,2,3,20,0,34 +2738,2,2,3,206,0,59 +2750,3,2,5,205,,90 +2765,2,1,2,206,,15 +2766,2,2,3,206,0,58 +2767,2,1,2,58,0,16 +2768,1,0,1,1,0,2 +2769,2,2,3,20,0,37 +2770,2,2,3,206,0,58 +2779,3,2,5,205,0,690 +2780,2,2,3,205,0,612 +2789,3,2,5,205,0,674 +2790,2,2,3,205,0,626 +2799,3,2,5,205,0,667 +2800,2,2,3,205,0,628 +2809,3,2,5,205,0,663 +2810,2,2,3,205,0,669 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+5978,7,2,15,57,131,41506 +5979,2,2,3,57,21,2831 +5980,8,2,17,57,152,64050 +5981,7,2,15,57,131,43331 +5982,7,2,15,57,131,41802 +5983,7,2,15,57,131,42325 +5984,7,2,15,57,131,42082 +5985,7,2,15,57,131,41917 +5986,7,2,15,57,131,42045 +5987,7,2,15,57,131,42216 +5988,7,2,15,57,131,42212 +5989,7,2,15,57,131,42601 +5990,2,2,3,205,0,724 +5991,2,2,3,205,0,671 +5999,3,2,5,205,0,925 +6000,2,2,3,205,0,685 +6009,3,2,5,205,0,924 +6010,2,2,3,205,0,690 Index: doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/preemption-per-prob.csv =================================================================== --- doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/preemption-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) +++ doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/preemption-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -0,0 +1,3216 @@ +4735,1,0,1,0,0,13 +4736,1,0,1,0,0,2 +4737,2,2,3,734,0,2212 +4738,2,2,3,734,0,2179 +4739,2,2,3,734,0,2177 +4740,2,2,3,734,0,2170 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+6633,2,2,3,214,0,930 Index: doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/searchsort-per-prob.csv =================================================================== --- doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/searchsort-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) +++ doc/theses/aaron_moss_PhD/phd/evaluation/per_prob/searchsort-per-prob.csv (revision 060b12d217afd5cdbc571e34d70c3152dd889ea1) @@ -0,0 +1,893 @@ +2708,2,2,3,205,0,560 +2719,3,2,5,205,,87 +2734,2,1,2,206,,15 +2735,2,2,3,206,0,68 +2736,2,1,2,58,0,17 +2737,1,0,1,1,0,2 +2738,2,2,3,20,0,37 +2739,2,2,3,206,0,60 +2751,3,2,5,205,,97 +2766,2,1,2,206,,18 +2767,2,2,3,206,0,82 +2768,2,1,2,58,0,17 +2769,1,0,1,1,0,2 +2770,2,2,3,20,0,46 +2771,2,2,3,206,0,84 +2780,3,2,5,205,0,708 +2781,2,2,3,205,0,627 +2790,3,2,5,205,0,688 +2791,2,2,3,205,0,634 +2800,3,2,5,205,0,679 +2801,2,2,3,205,0,643 +2810,3,2,5,205,0,709 +2811,2,2,3,205,0,653 +2820,3,2,5,205,0,684 +2821,2,2,3,205,0,640 +2830,3,2,5,205,0,698 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resolver's time, optimizing the resolver for specific hard problem instances has proven to be an effective technique for reducing overall runtime. -\TODO{Discuss metrics of difficulty.} - -% TODO: look at overloads -% TODO: histogram of hard cases +The data below indicates that number of assertions necessary to resolve has the greatest effect on runtime, as seen in +Figure~\ref{per-prob-assns-fig}. +However, since the number of assertions required is only known once resolution is finished, the most-promising pre-resolution metric of difficulty is the nesting depth of the expression; as seen in Figure~\ref{per-prob-depth-fig}, expressions of depth $> 10$ in this dataset are uniformly difficult. +Figure~\ref{per-prob-subs-fig} presents a similar pattern for number of subexpressions, though given that the expensive tail of problem instances occurs at approximately twice the depth values, it is reasonable to believe that the difficult expressions in question are deeply-nested invocations of binary functions rather than wider but shallowly-nested expressions. + +% TODO statistics to tease out difficulty? Is ANOVA the right keyword? +% TODO maybe metrics to sum number of poly-overloads invoked + +\begin{figure} +\centering +\input{per-prob-assns} +\caption[Top-level expression resolution time by number of assertions resolved.]{Top-level expression resolution time by number of assertions resolved. Note log scales on both axes.} \label{per-prob-assns-fig} +\end{figure} + +\begin{figure} +\centering +\input{per-prob-depth} +\caption[Top-level expression resolution time by maximum nesting depth of expression.]{Top-level expression resolution time by maximum nesting depth of expression. Note log scales on both axes.} \label{per-prob-depth-fig} +\end{figure} + +\begin{figure} +\centering +\input{per-prob-subs} +\caption[Top-level expression resolution time by number of subexpressions.]{Top-level expression resolution time by number of subexpressions. Note log scales on both axes.} \label{per-prob-subs-fig} +\end{figure} + \section{\CFA{} Results}