Details

Time bar (total: 3.9s)

analyze381.0ms (9.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms28×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify134.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
030110
130110

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 23 to 20 computations (13% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
0.0b
(+.f64 z (*.f64 x (-.f64 y z)))

rewrite58.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_4192 cancel-sign-sub-inv_binary64_4136
10×*-un-lft-identity_binary64_4170
add-cube-cbrt_binary64_4205 distribute-rgt-in_binary64_4120 associate-+r+_binary64_4102 distribute-lft-in_binary64_4119
associate-*r*_binary64_4110
add-log-exp_binary64_4209 pow1_binary64_4231 add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206 sub-neg_binary64_4163
associate-*l*_binary64_4111
associate-*r/_binary64_4112
sum-log_binary64_4261 flip3-+_binary64_4173 flip-+_binary64_4144 +-commutative_binary64_4100 pow-prod-down_binary64_4241 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 unswap-sqr_binary64_4138 flip3--_binary64_4174 flip--_binary64_4145 difference-of-squares_binary64_4139 distribute-lft-out--_binary64_4122 *-commutative_binary64_4101
Counts
2 → 49
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 y z))
4.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
Compiler

Compiled 682 to 192 computations (71.8% saved)

series290.0ms (7.5%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

171.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
102.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify72.0ms (1.9%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05339764

prune48.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh011
Picked011
Done000
Total81384
Error
0.0b
Counts
84 → 3
Compiler

Compiled 823 to 175 computations (78.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 1 x) z)
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))

rewrite53.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_4192
*-un-lft-identity_binary64_4170
associate-*l*_binary64_4111
add-log-exp_binary64_4209 pow1_binary64_4231 add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206 add-cube-cbrt_binary64_4205
associate-*r*_binary64_4110
associate-*l/_binary64_4113 difference-of-squares_binary64_4139
sum-log_binary64_4261 flip3-+_binary64_4173 flip-+_binary64_4144 +-commutative_binary64_4100 pow-prod-down_binary64_4241 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 unswap-sqr_binary64_4138 flip3--_binary64_4174 flip--_binary64_4145 distribute-lft-out--_binary64_4122 *-commutative_binary64_4101
Counts
2 → 34
Calls

2 calls:

9.0ms
(*.f64 (-.f64 1 x) z)
4.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 571 to 316 computations (44.7% saved)

series293.0ms (7.6%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

177.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
103.0ms
(*.f64 (-.f64 1 x) z)
Compiler

Compiled 529 to 326 computations (38.4% saved)

simplify72.0ms (1.9%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05458610

prune34.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done011
Total61364
Error
0.0b
Counts
64 → 3
Compiler

Compiled 677 to 204 computations (69.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
0.0b
(+.f64 z (*.f64 x (-.f64 y z)))
0.1b
(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
38.0b
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))

rewrite124.0ms (3.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×add-sqr-sqrt_binary64_4192
18×*-un-lft-identity_binary64_4170
16×add-cube-cbrt_binary64_4205
12×cbrt-prod_binary64_4201 cancel-sign-sub-inv_binary64_4136
distribute-rgt-in_binary64_4120 associate-+r+_binary64_4102 distribute-lft-in_binary64_4119
pow1_binary64_4231 add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206
add-log-exp_binary64_4209 unpow-prod-down_binary64_4249 cube-prod_binary64_4198
associate-*r*_binary64_4110
cube-div_binary64_4199 sub-neg_binary64_4163
flip3-+_binary64_4173 flip-+_binary64_4144 pow-unpow_binary64_4247 associate-*l*_binary64_4111
cbrt-div_binary64_4202 unpow3_binary64_4236 cube-mult_binary64_4200 sqr-pow_binary64_4142 associate-*r/_binary64_4112
pow1/3_binary64_4252 rem-cbrt-cube_binary64_4194 pow-pow_binary64_4242 pow-to-exp_binary64_4239 pow-exp_binary64_4238 rem-cube-cbrt_binary64_4193 sum-log_binary64_4261 +-commutative_binary64_4100 pow-prod-down_binary64_4241 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 unswap-sqr_binary64_4138 flip3--_binary64_4174 flip--_binary64_4145 difference-of-squares_binary64_4139 distribute-lft-out--_binary64_4122 *-commutative_binary64_4101
Counts
4 → 97
Calls

4 calls:

9.0ms
(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
8.0ms
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))
7.0ms
(*.f64 x (-.f64 y z))
4.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
Compiler

Compiled 1852 to 655 computations (64.6% saved)

series1.1s (28.1%)

Error
0.0b
Counts
4 → 87
Calls

4 calls:

520.0ms
(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
163.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
137.0ms
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))
113.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 5399 to 4056 computations (24.9% saved)

simplify95.0ms (2.5%)

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049594359
149594359

prune184.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done022
Total1843187
Error
0.0b
Counts
187 → 3
Compiler

Compiled 3689 to 1524 computations (58.7% saved)

regimes92.0ms (2.4%)

Accuracy

Total 0.0b remaining (60.2%)

Threshold costs 0.0b (60.2%)

Compiler

Compiled 464 to 370 computations (20.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample792.0ms (20.5%)

Algorithm
intervals
Results
266.0ms8000×body128valid
21.0ms682×body128invalid
Compiler

Compiled 127 to 102 computations (19.7% saved)

Profiling

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