Details

Time bar (total: 2.6s)

analyze5.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample20.0ms (0.8%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify282.0ms (10.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (186.0ms)

IterNodesCost
0484328
1484328

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0b
Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite207.0ms (7.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
22×associate-*r/_binary64_1043
18×flip3--_binary64_1105 sqrt-div_binary64_1118 flip--_binary64_1076
17×add-sqr-sqrt_binary64_1123
16×pow1_binary64_1162
12×*-un-lft-identity_binary64_1101 frac-times_binary64_1111
11×add-cube-cbrt_binary64_1136
10×prod-exp_binary64_1150 cbrt-unprod_binary64_1134 associate-*r*_binary64_1041
associate-*l*_binary64_1042
associate-/r/_binary64_1047
pow-prod-down_binary64_1172
associate-*l/_binary64_1044
add-log-exp_binary64_1140 sqrt-prod_binary64_1117
unswap-sqr_binary64_1069 *-commutative_binary64_1032 div-exp_binary64_1152 cbrt-undiv_binary64_1135 times-frac_binary64_1107 associate-/l*_binary64_1046
difference-of-squares_binary64_1070
frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 associate-/r*_binary64_1045
Counts
4 → 108
Calls

4 calls:

12.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
11.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 3487 to 2187 computations (37.3% saved)

series289.0ms (11.1%)

Error
0b
Counts
4 → 21
Calls

4 calls:

102.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
70.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
56.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
29.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1434 to 1240 computations (13.5% saved)

simplify81.0ms (3.1%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050773412

prune171.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done000
Total1292131
Error
0b
Counts
131 → 2
Compiler

Compiled 3477 to 2342 computations (32.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.2b
(*.f64 6 (*.f64 v v))
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

rewrite223.0ms (8.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
37×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
23×pow1_binary64_1162
18×prod-exp_binary64_1150 cbrt-unprod_binary64_1134 associate-*r/_binary64_1043
13×flip3--_binary64_1105 flip--_binary64_1076
12×add-sqr-sqrt_binary64_1123 sqrt-div_binary64_1118 pow-prod-down_binary64_1172 associate-*r*_binary64_1041
11×*-un-lft-identity_binary64_1101
10×add-cube-cbrt_binary64_1136
frac-times_binary64_1111 associate-/r/_binary64_1047
associate-*l*_binary64_1042
div-exp_binary64_1152 add-log-exp_binary64_1140 cbrt-undiv_binary64_1135 associate-*l/_binary64_1044
times-frac_binary64_1107 associate-/l*_binary64_1046 *-commutative_binary64_1032 sqrt-prod_binary64_1117
sub-neg_binary64_1094 distribute-rgt-in_binary64_1051 cancel-sign-sub-inv_binary64_1067 distribute-lft-in_binary64_1050 difference-of-squares_binary64_1070
frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 associate-/r*_binary64_1045 unswap-sqr_binary64_1069
Counts
4 → 110
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
14.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
7.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 6 (*.f64 v v))
Compiler

Compiled 3633 to 2392 computations (34.2% saved)

series303.0ms (11.6%)

Error
0b
Counts
4 → 21
Calls

4 calls:

103.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
80.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
62.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
27.0ms
(*.f64 6 (*.f64 v v))
Compiler

Compiled 1442 to 1225 computations (15% saved)

simplify70.0ms (2.7%)

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050193280

prune169.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done011
Total1312133
Error
0b
Counts
133 → 2
Compiler

Compiled 3454 to 2360 computations (31.7% saved)

regimes63.0ms (2.4%)

Accuracy

Total 0.0b remaining (75.4%)

Threshold costs 0.0b (75.4%)

Compiler

Compiled 496 to 418 computations (15.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample689.0ms (26.4%)

Algorithm
intervals
Results
394.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 107 to 90 computations (15.9% saved)

Profiling

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