Date:Tuesday, December 8th, 2020
Commit:b337b401 on master
Hostname:warfa with Racket 7.9
Seed:2020343
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

Time bar (total: 2.6min)

sample1.4min (52.6%)

Algorithm
56×intervals
Results
25.0s36971×body2048valid
18.4s66143×body1024valid
5.5s34532×body512valid
3.3s74393×body128valid
1.7s16894×body256valid
1.2s1507×body1024nan
901.0ms2235×body4096valid
770.0ms43029×pre128true
554.0ms3098×body128overflowed
358.0ms788×body512nan
217.0ms623×body1024overflowed
203.0ms379×body2048overflowed
202.0ms3902×body128nan
172.0ms190×body1024invalid
123.0ms248×body512invalid
112.0ms1796×body128invalid
82.0ms350×body256nan
71.0ms299×body512overflowed
51.0ms171×body256invalid
26.0ms158×body256overflowed
7.0msbody2048nan
1.0msbody2048invalid
Compiler

Compiled 20860 to 15562 computations (25.4% saved)

series23.6s (15.2%)

Calls

339 calls:

4.1s
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)) (*.f64 (*.f64 b (+.f64 -1 (exp.f64 (*.f64 eps a)))) (+.f64 eps (*.f64 b (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 b 1/6) eps) 1/2))))))
730.0ms
(/.f64 (neg.f64 (*.f64 a c)) (+.f64 b_2 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
544.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
536.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
530.0ms
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

prune14.6s (9.4%)

Compiler

Compiled 266390 to 151589 computations (43.1% saved)

simplify12.7s (8.2%)

Algorithm
161×egg-herbie

analyze10.7s (6.9%)

Algorithm
28×search
Search
TrueOtherFalseIter
0%90.9%9.1%0
14.3%76.7%9.1%1
21.4%67.8%10.9%2
33.2%51.7%15.1%3
37.6%44.1%18.2%4
43.8%36.2%19.9%5
46.6%32.5%20.9%6
48.1%29.6%22.3%7
49.9%27.4%22.7%8
51.1%25.4%23.5%9
51.5%24.3%24.2%10
52.4%22.9%24.7%11
53.2%21.5%25.2%12
53.5%20.9%25.6%13
53.9%20.1%26%14
Compiler

Compiled 332 to 278 computations (16.3% saved)

regimes6.4s (4.1%)

Compiler

Compiled 56253 to 41089 computations (27% saved)

rewrite4.0s (2.6%)

Algorithm
105×rewrite-expression-head
Rules
2995×times-frac_binary64_84
2026×*-un-lft-identity_binary64_78
1988×add-sqr-sqrt_binary64_100
1281×add-cube-cbrt_binary64_113
1188×sqrt-prod_binary64_94
821×*-un-lft-identity_binary64
772×times-frac_binary64
749×add-sqr-sqrt_binary64
654×*-un-lft-identity_binary64_1783
440×times-frac_binary64_2130 difference-of-squares_binary64_47
434×add-cube-cbrt_binary64
432×*-un-lft-identity_binary64_2124
395×add-sqr-sqrt_binary64_782
392×*-un-lft-identity_binary64_1442
389×add-sqr-sqrt_binary64_1805
376×add-sqr-sqrt_binary64_2146
363×times-frac_binary64_1789 sqrt-prod_binary64_1799
351×add-sqr-sqrt_binary64_1123
349×add-sqr-sqrt_binary64_1464
348×*-un-lft-identity_binary64_760
312×times-frac_binary64_1448
277×add-cube-cbrt_binary64_1477
269×add-cube-cbrt_binary64_1818
260×sqrt-prod_binary64_2140
258×*-un-lft-identity_binary64_1101
232×times-frac_binary64_766
229×distribute-lft-out--_binary64_30
228×add-cube-cbrt_binary64_795
227×add-cube-cbrt_binary64_2159
210×add-exp-log_binary64_1139
192×add-exp-log_binary64_116
186×distribute-lft-out_binary64_1734
183×*-un-lft-identity_binary64_419
182×add-exp-log_binary64_798
177×add-cbrt-cube_binary64_1137
176×add-cube-cbrt_binary64_1136
175×add-exp-log_binary64_1480
171×add-cbrt-cube_binary64_114
150×add-cbrt-cube_binary64_796
147×associate-/r*_binary64_22 add-sqr-sqrt_binary64_441
146×difference-of-squares_binary64
141×distribute-lft-out--_binary64
140×pow1_binary64_1162
139×associate-*r*_binary64_1041
136×add-cbrt-cube_binary64_1478
124×add-exp-log_binary64
118×pow1_binary64_821
110×distribute-lft-out_binary64_2075
106×add-log-exp_binary64_799
105×associate-*r*_binary64_700
104×add-log-exp_binary64
102×associate-/r*_binary64 add-cbrt-cube_binary64 unpow-prod-down_binary64_1521 pow1_binary64_139
97×add-cube-cbrt_binary64_454
96×pow1_binary64_1503
95×associate-*l*_binary64_1042
90×add-exp-log_binary64_1821 prod-exp_binary64_1150
88×add-log-exp_binary64_1140 pow1_binary64_1844
86×associate-/l*_binary64_23
84×add-log-exp_binary64_1481
83×associate-/l*_binary64
81×cbrt-prod_binary64_450 div-inv_binary64_75
79×pow1_binary64 pow1_binary64_480
77×sqrt-prod_binary64
75×add-exp-log_binary64_457 add-cbrt-cube_binary64_1819
74×log-prod_binary64_164 add-log-exp_binary64_458 add-exp-log_binary64_2162
70×associate-/r*_binary64_1386 add-cbrt-cube_binary64_455
68×cbrt-unprod_binary64_1134
67×times-frac_binary64_1107 add-log-exp_binary64_117
64×associate-/l*_binary64_2069 add-log-exp_binary64_1822
61×cancel-sign-sub-inv_binary64_44
57×div-exp_binary64_129
56×difference-of-squares_binary64_729 log-prod_binary64_846
53×associate-/r*_binary64_1727
52×distribute-lft-out_binary64 add-cbrt-cube_binary64_2160
51×prod-exp_binary64_809
50×associate-/l*_binary64_1387 cancel-sign-sub-inv_binary64_1067
49×cancel-sign-sub-inv_binary64_1408 cbrt-undiv_binary64_112 pow-prod-down_binary64_1172
48×associate-*r*_binary64_1382 unpow-prod-down_binary64_157 associate-*r/_binary64_1043
47×sqrt-prod_binary64_776 distribute-rgt-neg-in_binary64 distribute-lft-out_binary64_29
46×flip3--_binary64 flip--_binary64 cancel-sign-sub-inv_binary64 associate-*r*_binary64_1723
45×difference-of-squares_binary64_1070 associate-*l*_binary64_701
43×swap-sqr_binary64_1750 exp-prod_binary64
42×associate-/r/_binary64 unswap-sqr_binary64_1069 associate-*l*_binary64_1724
41×associate-/l*_binary64_705 log-pow_binary64 flip3-+_binary64_1104 flip-+_binary64_1075 associate-*l*_binary64_360
40×associate-*r/_binary64_1384 unpow-prod-down_binary64_1862
39×prod-exp_binary64_1491 flip--_binary64_735 flip3--_binary64_764
38×distribute-lft-in_binary64_1050 div-exp_binary64_1493 distribute-rgt-in_binary64_1051
37×associate-*r*_binary64_359 associate-*l*_binary64_1383 difference-of-squares_binary64_2093
36×associate-/r/_binary64_1729 pow1_binary64_2185
35×log-pow_binary64_849 distribute-lft-out--_binary64_371 cbrt-unprod_binary64_793 associate-/r*_binary64_704
34×prod-exp_binary64_127 sqr-pow_binary64_1414 associate-/r/_binary64_2070 distribute-lft-out_binary64_1393
33×cancel-sign-sub-inv_binary64_2090 tan-quot_binary64_1942
32×unswap-sqr_binary64_728 associate-*l*_binary64_19 cbrt-unprod_binary64_111 cancel-sign-sub-inv_binary64_726 associate-/r*_binary64_2068 unpow-prod-down_binary64_1180
31×sqrt-pow1_binary64_1801 cbrt-unprod_binary64_1475 cancel-sign-sub-inv_binary64_385 div-exp_binary64
29×div-inv_binary64_1439 associate-*r*_binary64_18
28×distribute-lft-out--_binary64_712 *-commutative_binary64_1032 log-prod_binary64_505 div-exp_binary64_2175 unpow-prod-down_binary64_839
27×div-inv_binary64 distribute-lft-out--_binary64_1394
26×distribute-lft-out_binary64_711 flip-+_binary64_1416 flip3-+_binary64_1445 distribute-lft-neg-in_binary64 neg-mul-1_binary64 div-exp_binary64_811 sqrt-div_binary64
25×difference-of-squares_binary64_1752 associate-/r/_binary64_24 sqrt-prod_binary64_1117 distribute-lft-out--_binary64_1053 cbrt-prod_binary64_1132
24×cbrt-undiv_binary64_794 cbrt-div_binary64_1474 exp-prod_binary64_812 sqr-pow_binary64_50 cbrt-prod_binary64_1814 flip-+_binary64_2098 pow-prod-down_binary64_1513 flip3-+_binary64_2127 log-prod_binary64_1869 add-log-exp_binary64_2163 associate-/l*_binary64_1728 frac-times_binary64_1111 flip3--_binary64_1105 flip--_binary64_1076
23×log-prod_binary64
22×cbrt-undiv_binary64_1476 flip3-+_binary64_1786 distribute-lft-out--_binary64_2076 flip-+_binary64_1757 distribute-lft-out_binary64_370 div-inv_binary64_2121
21×distribute-rgt-in_binary64_369 cbrt-undiv_binary64 div-inv_binary64_1780 associate-*r*_binary64_2064 distribute-lft-in_binary64_368 difference-of-squares_binary64_1411 unswap-sqr_binary64_1751 cancel-sign-sub-inv_binary64_1749
20×associate--l+_binary64_356 diff-log_binary64 sqrt-div_binary64_2141 diff-log_binary64_511
19×associate-*r*_binary64 pow-unpow_binary64_1860 log-div_binary64_847 log-pow_binary64_167 div-inv_binary64_757
18×frac-2neg_binary64_89 difference-of-sqr-1_binary64_1071 cbrt-div_binary64_1133 clear-num_binary64_77 associate-*l*_binary64_2065 div-exp_binary64_1834 diff-log_binary64_852 associate-+l+_binary64_1375 associate-/r/_binary64_706
17×pow1/3_binary64_501 sub-neg_binary64 cbrt-unprod_binary64_452 prod-exp_binary64_468
16×pow-prod-down_binary64_490 flip3-+_binary64 cube-prod_binary64_788 sqrt-div_binary64_777 flip-+_binary64
15×cbrt-undiv_binary64_2158 exp-sum_binary64_124 associate-*l*_binary64 frac-add_binary64_1450 cbrt-prod_binary64_1473
14×associate-/r/_binary64_1047 flip--_binary64_53 flip3-+_binary64_422 flip-+_binary64_52 associate-/r*_binary64_1045 swap-sqr_binary64_45 distribute-lft-out--_binary64_1735 *-commutative_binary64_1373 flip-+_binary64_393 sqr-pow_binary64_732 sub-neg_binary64_753 flip3--_binary64_82 sqr-pow_binary64_1073 unswap-sqr_binary64_1410 flip3-+_binary64_81
13×inv-pow_binary64_1868 exp-sum_binary64 pow1/2_binary64 clear-num_binary64 flip3-+_binary64_763 sub-neg_binary64_1094 unswap-sqr_binary64_387 pow-flip_binary64_1857 pow1/2_binary64_1863 flip-+_binary64_734 sqrt-pow1_binary64 pow1/3_binary64_1524 frac-2neg_binary64 pow-prod-down_binary64_149
12×cube-prod_binary64_1129 unpow-prod-down_binary64_498 unswap-sqr_binary64_2092 difference-of-squares_binary64_388 associate-/l/_binary64_25 clear-num_binary64_1441 cube-prod_binary64_106 frac-2neg_binary64_1453 pow-exp_binary64_1510 associate-*l/_binary64_1044 unswap-sqr_binary64_46 exp-prod_binary64_1835 pow-prod-down_binary64_831 cube-prod_binary64_1470 rem-sqrt-square_binary64_1796 *-commutative_binary64_691 pow-to-exp_binary64_1511
11×associate-/l/_binary64 cbrt-undiv_binary64_1817 sum-log_binary64_1533 prod-exp_binary64 diff-log_binary64_170 sqrt-div_binary64_1800 *-commutative_binary64_350 associate--r+_binary64_355
10×sum-log_binary64_851 pow1/2_binary64_2204 cbrt-div_binary64_451 pow-prod-down_binary64_1854 distribute-rgt-in_binary64_1392 log-pow_binary64_1872 flip3--_binary64_1446 sqrt-pow1_binary64_2142 associate-/l*_binary64_1046 exp-prod_binary64_1153 flip--_binary64_1417 diff-log_binary64_1534 distribute-lft-in_binary64_1391 div-sub_binary64 diff-log_binary64_1193 associate-*r/_binary64_2066 rem-sqrt-square_binary64 div-exp_binary64_1152 sub-neg_binary64_71
log-pow_binary64_508 associate-/l/_binary64_1730 flip3--_binary64_1787 pow-prod-down_binary64_2195 cbrt-undiv_binary64_1135 sub-neg_binary64_1435 sqrt-pow1_binary64_96 sum-log_binary64_1192 div-inv_binary64_1098 cube-prod_binary64_1811 pow-exp_binary64_1169 frac-2neg_binary64_771 pow1/3_binary64_1183 log-div_binary64_165 clear-num_binary64_759 pow-to-exp_binary64_1170 pow1/2_binary64_158 flip--_binary64_1758 pow-prod-up_binary64_1853
frac-2neg_binary64_1794 times-frac_binary64_425 pow-pow_binary64_1855 pow1/2_binary64_840 frac-add_binary64_1791 div-sub_binary64_765 sum-log_binary64_510 rem-sqrt-square_binary64_773 prod-exp_binary64_2173 log-pow_binary64_1190 clear-num_binary64_1782 pow-flip_binary64_2198 distribute-lft-out_binary64_1052 sqrt-pow1_binary64_778
sub-neg_binary64_412 flip3--_binary64_423 pow-to-exp_binary64_829 associate-/l/_binary64_707 log-prod_binary64_1187 neg-sub0_binary64 flip--_binary64_394 pow-exp_binary64_828 sin-sum_binary64_552 rem-log-exp_binary64_119 clear-num_binary64_2123 unswap-sqr_binary64 cbrt-unprod_binary64 rem-log-exp_binary64_801 cbrt-unprod_binary64_1816 log-div_binary64 1-exp_binary64_2168 prod-exp_binary64_1832 frac-2neg_binary64_2135 rec-exp_binary64_2174
*-commutative_binary64_9 diff-log_binary64_1875 pow-prod-up_binary64_148 sqr-pow_binary64_1755 frac-sub_binary64_87 rec-exp_binary64 swap-sqr_binary64_386 1-exp_binary64 pow-unpow_binary64_496 cbrt-unprod_binary64_2157 sum-log_binary64 *-commutative_binary64_1714 sum-log_binary64_1874 swap-sqr_binary64_1068 associate-*r/_binary64_361 sub-neg_binary64_1776 pow-exp_binary64_1851 associate-/l*_binary64_364 pow-pow_binary64_1514
frac-sub_binary64_1792 +-commutative_binary64_1031 distribute-rgt-out_binary64_31 1-exp_binary64_1827 rec-exp_binary64_1833 associate--l+_binary64_15 +-commutative_binary64_1372 associate-*l/_binary64_1726 distribute-rgt1-in_binary64_34 pow-sqr_binary64_1756 exp-diff_binary64 associate-*r/_binary64_702 associate-*r/_binary64_20 +-commutative_binary64 difference-of-sqr-1_binary64_1412
associate-*l/_binary64_362 pow-prod-down_binary64 associate-*l/_binary64_703 frac-times_binary64_1452 +-commutative_binary64_1713 unpow-prod-down_binary64 unpow3_binary64_826 associate-/r/_binary64_1388 pow-sqr_binary64_51 exp-diff_binary64_808 sin-mult_binary64_574 clear-num_binary64_1100 pow-unpow_binary64_1519 frac-2neg_binary64_1112 div-exp_binary64_470 frac-sub_binary64_428 cbrt-undiv_binary64_453 unpow3_binary64_144 frac-times_binary64_429 frac-times_binary64_770 +-commutative_binary64_690 cube-mult_binary64_790 cube-mult_binary64_108 sqrt-div_binary64_95 neg-log_binary64 associate--r+_binary64_696 exp-prod_binary64_130 swap-sqr_binary64_1409 associate--r+_binary64_1378 cube-mult_binary64_1472 unpow3_binary64_1508 exp-sum_binary64_1147 pow-to-exp_binary64_1852 div-sub_binary64_83 sqrt-pow1_binary64_1119 distribute-frac-neg_binary64 associate-/l/_binary64_2071 inv-pow_binary64_2209
exp-prod_binary64_1494 sqrt-unprod_binary64_2144 flip3--_binary64_2128 distribute-rgt-in_binary64_1733 exp-sum_binary64_806 frac-times_binary64_1793 rec-exp_binary64_128 associate--l-_binary64 distribute-lft-in_binary64_1732 pow-pow_binary64_491 rem-sqrt-square_binary64_91 cube-mult_binary64_1813 unpow3_binary64_1849 1-exp_binary64_122 *-commutative_binary64_2055 sqr-sin-a_binary64_226 pow-flip_binary64 associate-*r/_binary64_1725 cube-mult_binary64_1131 flip--_binary64_2099 unpow3_binary64_1167 inv-pow_binary64 sqr-abs_binary64_1798 pow-flip_binary64_152 sum-log_binary64_169 *-commutative_binary64 associate--r+_binary64_14
+-commutative_binary64_8 clear-num_binary64_418 inv-pow_binary64_1527 inv-pow_binary64_163 unpow-prod-up_binary64_1520 pow-prod-up_binary64_1171 associate-/l/_binary64_1389 frac-2neg_binary64_430 1-exp_binary64_1486 div-inv_binary64_416 rem-log-exp_binary64 pow-plus_binary64_141 rem-exp-log_binary64_800 frac-sub_binary64_1451 associate--r-_binary64_358 associate-*l/_binary64_1385 associate-/l/_binary64_1048 distribute-rgt-in_binary64_710 sqr-pow_binary64_391 pow-flip_binary64_1516 associate-+r+_binary64_1033 associate-/r*_binary64_363 tan-sum_binary64_1918 associate--l-_binary64_16 rem-log-exp_binary64_1824 pow2_binary64_159 exp-diff_binary64_126 rem-exp-log_binary64 cos-sum_binary64_553 pow-sqr_binary64_1074 exp-diff_binary64_1490 pow-to-exp_binary64_488 +-commutative_binary64_2054 diff-log_binary64_2216 rem-sqrt-square_binary64_2137 sub-neg_binary64_2117 sin-mult_binary64_233 pow1/3_binary64_1865 distribute-lft-in_binary64_709 tan-quot_binary64_1260 sin-sum_binary64_1916 sum-log_binary64_2215 associate-+l-_binary64_1377 pow-prod-up_binary64_1512 neg-sub0_binary64_1437 pow-sqr_binary64_392 associate--l-_binary64_357 pow-prod-up_binary64_489 +-commutative_binary64_349 frac-times_binary64 rec-exp_binary64_1492 exp-neg_binary64_1489 pow-sqr_binary64_1415 pow-exp_binary64_487 sqr-pow_binary64 associate-*l/_binary64 associate-+r+_binary64_1374
sin-cos-mult_binary64_575 sqr-abs_binary64_93 rem-exp-log_binary64_1823 pow-to-exp_binary64_147 exp-to-pow_binary64_822 rem-square-sqrt_binary64_90 div-sub_binary64_1788 pow-plus_binary64_1164 tan-quot_binary64_237 inv-pow_binary64_1186 pow-to-exp_binary64 associate-*l/_binary64_21 associate-+l-_binary64 rem-cube-cbrt_binary64_1806 log-div_binary64_1188 frac-add_binary64_86 rem-square-sqrt_binary64_1795 pow2_binary64_1182 difference-of-sqr-1_binary64_389 rem-exp-log_binary64_118 sqrt-unprod_binary64_1803 distribute-rgt-in_binary64_28 pow-plus_binary64_1846 sin-cos-mult_binary64_1939 associate-*r/_binary64 associate--l+_binary64_1720 pow-exp_binary64 pow2_binary64_500 associate--r-_binary64_1381 distribute-lft-in_binary64_27 pow-plus_binary64_482 frac-sub_binary64_1110 1-exp_binary64_1145 rec-exp_binary64_1151 pow-exp_binary64_146 diff-atan_binary64_1599 pow2_binary64_1523 associate-+r+_binary64_1715 associate-+r+_binary64_351 rem-cbrt-cube_binary64_1807 diff-sin_binary64_1933 diff-cos_binary64_570 rec-exp_binary64_810 rem-sqrt-square_binary64_1114 pow-flip_binary64_1175 sqrt-pow2_binary64_1802 rem-log-exp_binary64_1142 exp-diff_binary64_1149 div-sub_binary64_2129 sqrt-unprod_binary64_98 pow-plus_binary64_1505 frac-sub_binary64_2133 un-div-inv_binary64 un-div-inv_binary64_758 1-exp_binary64_804 pow1/2_binary64_1181 pow2_binary64_1864 frac-times_binary64_88
Calls

339 calls:

181.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
63.0ms
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
46.0ms
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
42.0ms
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
41.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

localize1.1s (0.7%)

bsearch606.0ms (0.4%)

Compiler

Compiled 59 to 62 computations (-5.1% saved)

end1.0ms (0%)

Profiling

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