Details

Time bar (total: 2.1s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample31.0ms (1.5%)

Algorithm
intervals
Results
11.0ms256×pre128true
8.0ms256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify169.0ms (8.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
07010
17010

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 a b) (+.f64 a b))

rewrite22.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_1101
pow1_binary64_1162
add-sqr-sqrt_binary64_1123
distribute-lft-out_binary64_1052 flip3-+_binary64_1104 swap-sqr_binary64_1068 flip-+_binary64_1075
add-cube-cbrt_binary64_1136
frac-times_binary64_1111 associate-*r*_binary64_1041 associate-*l*_binary64_1042
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
associate-*r/_binary64_1043 associate-*l/_binary64_1044
pow-plus_binary64_1164 *-commutative_binary64_1032 cbrt-unprod_binary64_1134 pow-prod-up_binary64_1171 add-log-exp_binary64_1140 prod-exp_binary64_1150 distribute-lft-in_binary64_1050 pow-sqr_binary64_1074 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069 pow2_binary64_1182 distribute-rgt-in_binary64_1051
Counts
1 → 40
Calls

1 calls:

17.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

series28.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

simplify101.0ms (4.9%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04969523
14969523

prune40.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344
Error
0b
Counts
44 → 3
Compiler

Compiled 506 to 178 computations (64.8% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 b (+.f64 a b))
0.0b
(*.f64 a (+.f64 a b))
0.0b
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))

rewrite28.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
12×associate-*r/_binary64_1043
11×add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101
associate-*r*_binary64_1041
add-exp-log_binary64_1139 pow1_binary64_1162 flip3-+_binary64_1104 add-cube-cbrt_binary64_1136 add-cbrt-cube_binary64_1137 flip-+_binary64_1075
associate-*l*_binary64_1042
add-log-exp_binary64_1140
distribute-lft-in_binary64_1050 frac-add_binary64_1109 distribute-rgt-in_binary64_1051
*-commutative_binary64_1032 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 distribute-lft-out_binary64_1052 associate-+r+_binary64_1033 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069 associate-+l+_binary64_1034
distribute-rgt-out_binary64_1054 sum-log_binary64_1192 +-commutative_binary64_1031
Counts
3 → 66
Calls

3 calls:

11.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
6.0ms
(*.f64 b (+.f64 a b))
6.0ms
(*.f64 a (+.f64 a b))

series61.0ms (2.9%)

Counts
3 → 9
Calls

3 calls:

21.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
21.0ms
(*.f64 b (+.f64 a b))
18.0ms
(*.f64 a (+.f64 a b))

simplify121.0ms (5.8%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
04741909
14741909

prune82.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh011
Picked011
Done011
Total75378
Error
0b
Counts
78 → 3
Compiler

Compiled 1159 to 258 computations (77.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(pow.f64 (+.f64 a b) 6)
0.6b
(cbrt.f64 (pow.f64 (+.f64 a b) 6))

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_1101
unpow-prod-down_binary64_1180 cbrt-prod_binary64_1132
add-sqr-sqrt_binary64_1123 add-cube-cbrt_binary64_1136
add-exp-log_binary64_1139 pow1_binary64_1162 pow-unpow_binary64_1178
add-log-exp_binary64_1140 distribute-lft-out_binary64_1052 add-cbrt-cube_binary64_1137 sqr-pow_binary64_1073
pow-exp_binary64_1169 pow1/3_binary64_1183 pow-pow_binary64_1173 pow-to-exp_binary64_1170
Counts
2 → 34
Calls

2 calls:

4.0ms
(pow.f64 (+.f64 a b) 6)
4.0ms
(cbrt.f64 (pow.f64 (+.f64 a b) 6))

series98.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

84.0ms
(pow.f64 (+.f64 a b) 6)
14.0ms
(cbrt.f64 (pow.f64 (+.f64 a b) 6))

simplify95.0ms (4.6%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
05040455

prune42.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done022
Total40343
Error
0b
Counts
43 → 3
Compiler

Compiled 407 to 233 computations (42.8% saved)

regimes112.0ms (5.4%)

Accuracy

Total 0.0b remaining (85.2%)

Threshold costs 0.0b (85.2%)

Compiler

Compiled 529 to 388 computations (26.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01116
11116

end0.0ms (0%)

sample998.0ms (48.1%)

Algorithm
intervals
Results
291.0ms8000×pre128true
209.0ms8000×body128valid
Compiler

Compiled 151 to 104 computations (31.1% saved)

Profiling

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