Details

Time bar (total: 2.1s)

analyze5.0ms (0.3%)

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)

sample24.0ms (1.1%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify314.0ms (14.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (143.0ms)

IterNodesCost
0478328
1478328

prune9.0ms (0.4%)

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 74 to 58 computations (21.6% saved)

localize10.0ms (0.5%)

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_1133
add-cbrt-cube_binary64_1147 associate-*r*_binary64_1051 pow1_binary64_1172 add-exp-log_binary64_1149
*-un-lft-identity_binary64_1111
sqrt-div_binary64_1128 flip3--_binary64_1115 add-cube-cbrt_binary64_1146 associate-*l*_binary64_1052 flip--_binary64_1086
prod-exp_binary64_1160 cbrt-unprod_binary64_1144 frac-times_binary64_1121 pow-prod-down_binary64_1182 sqrt-prod_binary64_1127
unswap-sqr_binary64_1079
*-commutative_binary64_1042 associate-*l/_binary64_1054 difference-of-squares_binary64_1080 add-log-exp_binary64_1150 associate-*r/_binary64_1053
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)

series143.0ms (6.7%)

Counts
2 → 6
Calls

2 calls:

106.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
37.0ms
(*.f64 (*.f64 v v) 6)

simplify80.0ms (3.7%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049111184
149111184

prune87.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0b

Counts
58 → 2
Compiler

Compiled 1806 to 1248 computations (30.9% saved)

localize21.0ms (1%)

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)))

rewrite70.0ms (3.3%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64_1149
25×add-cbrt-cube_binary64_1147
21×add-sqr-sqrt_binary64_1133
18×sqrt-div_binary64_1128
15×flip-+_binary64_1085 flip3-+_binary64_1114
14×associate-*l*_binary64_1052
12×frac-times_binary64_1121
11×prod-exp_binary64_1160 *-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146 pow1_binary64_1172
cbrt-unprod_binary64_1144 associate-*r*_binary64_1051
associate-/l/_binary64_1058 associate-/r/_binary64_1057
associate-*l/_binary64_1054 unswap-sqr_binary64_1079 associate-*r/_binary64_1053
unpow-prod-down_binary64_1190 div-exp_binary64_1162 pow-prod-down_binary64_1182 cbrt-undiv_binary64_1145 add-log-exp_binary64_1150 sqrt-prod_binary64_1127
*-commutative_binary64_1042 flip3--_binary64_1115 flip--_binary64_1086
sqr-pow_binary64_1083
times-frac_binary64_1117 div-inv_binary64_1108 associate-/r*_binary64_1055 distribute-lft-in_binary64_1060 frac-2neg_binary64_1122 associate-/l*_binary64_1056 pow-exp_binary64_1179 distribute-rgt-in_binary64_1061 pow-to-exp_binary64_1180 clear-num_binary64_1110
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))
6.0ms
(*.f64 (*.f64 v v) 6)
6.0ms
(*.f64 (pow.f64 v 4) -36)

series384.0ms (18%)

Counts
4 → 12
Calls

4 calls:

199.0ms
(/.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)))
99.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) 6) 2)) (+.f64 (*.f64 v v) 1))
52.0ms
(*.f64 (pow.f64 v 4) -36)
34.0ms
(*.f64 (*.f64 v v) 6)

simplify63.0ms (3%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
054913299

prune276.0ms (13%)

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)

regimes17.0ms (0.8%)

Compiler

Compiled 110 to 88 computations (20% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample602.0ms (28.3%)

Algorithm
intervals
Results
405.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 90 to 73 computations (18.9% saved)

Profiling

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