Details

Time bar (total: 4.0s)

analyze452.0ms (11.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11011
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample34.0ms (0.8%)

Algorithm
intervals
Results
14.0ms95×body1024valid
6.0ms35×body512valid
2.0ms12×body2048valid
2.0ms87×body128valid
1.0ms27×body256valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01011
11011

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
43.8b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.8b
(-.f64 (exp.f64 x) 1)

rewrite82.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
43.8b
Rules
35×add-sqr-sqrt_binary64_1123
30×*-un-lft-identity_binary64_1101
21×times-frac_binary64_1107
15×add-cube-cbrt_binary64_1136
10×difference-of-squares_binary64_1070
associate-/r*_binary64_1045
difference-of-sqr-1_binary64_1071 distribute-lft-out--_binary64_1053
add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137
add-exp-log_binary64_1139 cancel-sign-sub-inv_binary64_1067 associate-/l*_binary64_1046
pow1_binary64_1162 flip3--_binary64_1105 flip--_binary64_1076 associate-/r/_binary64_1047
diff-log_binary64_1193 sub-neg_binary64_1094 div-exp_binary64_1152 cbrt-undiv_binary64_1135 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098
Counts
2 → 63
Calls

2 calls:

7.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 977 to 489 computations (49.9% saved)

series110.0ms (2.8%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

69.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
25.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 252 to 184 computations (27% saved)

simplify64.0ms (1.6%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051051195

prune67.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh000
Picked011
Done000
Total74276
Error
0.0b
Counts
76 → 2
Compiler

Compiled 997 to 496 computations (50.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) 1/720))
0.0b
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
0.1b
(*.f64 (pow.f64 x 3) 1/720)
0.3b
(*.f64 x 1/12)

rewrite146.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64_1123
18×add-log-exp_binary64_1140
15×associate-*l*_binary64_1042
11×add-exp-log_binary64_1139
10×add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101
add-cbrt-cube_binary64_1137
pow1_binary64_1162 associate-*r*_binary64_1041 sum-log_binary64_1192
unswap-sqr_binary64_1069
prod-exp_binary64_1150 unpow-prod-down_binary64_1180 cube-prod_binary64_1129
diff-log_binary64_1193
cbrt-unprod_binary64_1134 *-commutative_binary64_1032 sqr-pow_binary64_1073
pow-prod-down_binary64_1172 pow-to-exp_binary64_1170 pow-exp_binary64_1169 unpow3_binary64_1167 cube-mult_binary64_1131 flip3-+_binary64_1104 flip-+_binary64_1075 associate-+l+_binary64_1034 +-commutative_binary64_1031 flip3--_binary64_1105 sub-neg_binary64_1094 flip--_binary64_1076 cancel-sign-sub-inv_binary64_1067 associate--l+_binary64_1038
Counts
4 → 77
Calls

4 calls:

13.0ms
(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) 1/720))
9.0ms
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
6.0ms
(*.f64 (pow.f64 x 3) 1/720)
4.0ms
(*.f64 x 1/12)
Compiler

Compiled 1744 to 1403 computations (19.6% saved)

series214.0ms (5.4%)

Error
0.0b
Counts
4 → 27
Calls

4 calls:

64.0ms
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
56.0ms
(-.f64 (+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) 1/720))
45.0ms
(*.f64 (pow.f64 x 3) 1/720)
27.0ms
(*.f64 x 1/12)
Compiler

Compiled 749 to 635 computations (15.2% saved)

simplify74.0ms (1.9%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049461364
149461364

prune129.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh000
Picked011
Done011
Total1033106
Error
0b
Counts
106 → 3
Compiler

Compiled 1946 to 1554 computations (20.1% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 1/144 x)
0.3b
(*.f64 1/12 x)
0.3b
(*.f64 1/12 x)
42.9b
(/.f64 (+.f64 (pow.f64 (*.f64 1/12 x) 3) (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3)) (+.f64 (*.f64 x (*.f64 1/144 x)) (*.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 1/12 x)))))

rewrite361.0ms (9.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
28×*-un-lft-identity_binary64_1101
26×add-sqr-sqrt_binary64_1123
20×add-cube-cbrt_binary64_1136
15×times-frac_binary64_1107
12×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
10×pow1_binary64_1162
associate-*l*_binary64_1042 associate-*r*_binary64_1041
associate-/l*_binary64_1046
add-log-exp_binary64_1140 sum-cubes_binary64_1102 distribute-lft-out_binary64_1052
associate-/r*_binary64_1045 pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 unswap-sqr_binary64_1069 *-commutative_binary64_1032
flip3-+_binary64_1104 associate-/l/_binary64_1048 flip-+_binary64_1075 associate-/r/_binary64_1047
div-exp_binary64_1152 cbrt-undiv_binary64_1135 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098
Counts
4 → 93
Calls

4 calls:

24.0ms
(/.f64 (+.f64 (pow.f64 (*.f64 1/12 x) 3) (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3)) (+.f64 (*.f64 x (*.f64 1/144 x)) (*.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 1/12 x)))))
4.0ms
(*.f64 1/12 x)
4.0ms
(*.f64 1/144 x)
4.0ms
(*.f64 1/12 x)
Compiler

Compiled 5269 to 4244 computations (19.5% saved)

series382.0ms (9.6%)

Error
0b
Counts
4 → 18
Calls

4 calls:

263.0ms
(/.f64 (+.f64 (pow.f64 (*.f64 1/12 x) 3) (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3)) (+.f64 (*.f64 x (*.f64 1/144 x)) (*.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 1/12 x)))))
32.0ms
(*.f64 1/12 x)
31.0ms
(*.f64 1/144 x)
28.0ms
(*.f64 1/12 x)
Compiler

Compiled 1362 to 1126 computations (17.3% saved)

simplify52.0ms (1.3%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
051963428

prune367.0ms (9.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done022
Total1113114
Error
0b
Counts
114 → 3
Compiler

Compiled 5496 to 4429 computations (19.4% saved)

regimes128.0ms (3.2%)

Accuracy

Total 0.8b remaining (72.8%)

Threshold costs 0.8b (72.8%)

Compiler

Compiled 1219 to 943 computations (22.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01015
11015

end0.0ms (0%)

sample1.3s (32.1%)

Algorithm
intervals
Results
386.0ms2697×body1024valid
104.0ms1297×body512valid
78.0ms3063×body128valid
46.0ms295×body2048valid
32.0ms648×body256valid
0.0msbody128overflowed
Compiler

Compiled 378 to 298 computations (21.2% saved)

Profiling

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