Details

Time bar (total: 2.3s)

analyze12.0ms (0.5%)

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 (0.9%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify395.0ms (17%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (232.0ms)

IterNodesCost
0477228
1477228

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 36 to 28 computations (22.2% saved)

localize14.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite22.0ms (1%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_1109
associate-*r*_binary64_1030 add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123 pow1_binary64_1146
*-un-lft-identity_binary64_1088
flip3--_binary64_1092 flip--_binary64_1063 sqrt-div_binary64_1104 associate-*l*_binary64_1031 add-cube-cbrt_binary64_1120
cbrt-unprod_binary64_1118 frac-times_binary64_1098 sqrt-prod_binary64_1103 pow-prod-down_binary64_1156 prod-exp_binary64_1134
unswap-sqr_binary64_1056
*-commutative_binary64_1021 associate-*l/_binary64_1033 add-log-exp_binary64_1124 associate-*r/_binary64_1032 difference-of-squares_binary64_1057
Counts
2 → 51
Calls

2 calls:

10.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
7.0ms
(*.f64 (*.f64 v v) 6)

series144.0ms (6.2%)

Counts
2 → 6
Calls

2 calls:

109.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
34.0ms
(*.f64 (*.f64 v v) 6)

simplify64.0ms (2.8%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049311166
149311166

prune76.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0b

Counts
58 → 2
Compiler

Compiled 1480 to 998 computations (32.6% saved)

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1))
0.1b
(*.f64 (pow.f64 v 4) -36)
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4))) (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1)))

rewrite75.0ms (3.2%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64_1123
25×add-cbrt-cube_binary64_1121
21×add-sqr-sqrt_binary64_1109
18×sqrt-div_binary64_1104
15×flip-+_binary64_1062 flip3-+_binary64_1091
14×associate-*l*_binary64_1031
12×frac-times_binary64_1098
11×prod-exp_binary64_1134 pow1_binary64_1146 *-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
associate-*r*_binary64_1030 cbrt-unprod_binary64_1118
associate-/l/_binary64_1037 associate-/r/_binary64_1036
unswap-sqr_binary64_1056 associate-*l/_binary64_1033 associate-*r/_binary64_1032
unpow-prod-down_binary64_1164 sqrt-prod_binary64_1103 div-exp_binary64_1136 cbrt-undiv_binary64_1119 pow-prod-down_binary64_1156 add-log-exp_binary64_1124
*-commutative_binary64_1021 flip3--_binary64_1092 flip--_binary64_1063
sqr-pow_binary64_1060
clear-num_binary64_1087 frac-2neg_binary64_1099 distribute-rgt-in_binary64_1040 associate-/r*_binary64_1034 times-frac_binary64_1094 pow-exp_binary64_1153 pow-to-exp_binary64_1154 associate-/l*_binary64_1035 distribute-lft-in_binary64_1039 div-inv_binary64_1085
Counts
4 → 113
Calls

4 calls:

28.0ms
(/.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4))) (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1)))
15.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1))
9.0ms
(*.f64 (pow.f64 v 4) -36)
6.0ms
(*.f64 (*.f64 v v) 6)

series375.0ms (16.1%)

Counts
4 → 12
Calls

4 calls:

200.0ms
(/.f64 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 v 4) -36))) (-.f64 1 (pow.f64 v 4))) (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1)))
90.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1))
50.0ms
(*.f64 (pow.f64 v 4) -36)
34.0ms
(*.f64 (*.f64 v v) 6)

simplify66.0ms (2.8%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
054063299

prune288.0ms (12.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done011
Total1252127

Merged error: 0b

Counts
127 → 2
Compiler

Compiled 5196 to 3865 computations (25.6% saved)

regimes62.0ms (2.7%)

Compiler

Compiled 736 to 574 computations (22% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample685.0ms (29.5%)

Algorithm
intervals
Results
408.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 202 to 159 computations (21.3% saved)

Profiling

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