Details

Time bar (total: 1.7s)

analyze299.0ms (17.1%)

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
0%99.9%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
36.7%60.1%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
57.6%31.1%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)

sample17.0ms (0.9%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms28×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify118.0ms (6.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
030110
130110

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 23 to 20 computations (13% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_21600
add-sqr-sqrt_binary64_21583 +-commutative_binary64_21491 *-un-lft-identity_binary64_21561 sum-log_binary64_21652 add-exp-log_binary64_21599 flip-+_binary64_21535 flip3-+_binary64_21564 add-cube-cbrt_binary64_21596 add-cbrt-cube_binary64_21597 pow1_binary64_21622
Counts
1 → 11
Calls

1 calls:

7.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))

series27.0ms (1.5%)

Counts
1 → 9
Calls

1 calls:

27.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))

simplify70.0ms (4%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04970283
14970283

prune15.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19120
Fresh011
Picked011
Done000
Total19322

Merged error: 0b

Counts
22 → 3
Compiler

Compiled 256 to 69 computations (73% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_21583 cancel-sign-sub-inv_binary64_21527
10×*-un-lft-identity_binary64_21561
distribute-lft-in_binary64_21510 associate-+r+_binary64_21493 distribute-rgt-in_binary64_21511 add-cube-cbrt_binary64_21596
associate-*r*_binary64_21501
add-exp-log_binary64_21599 sub-neg_binary64_21554 add-log-exp_binary64_21600 add-cbrt-cube_binary64_21597 pow1_binary64_21622
associate-*l*_binary64_21502
associate-*r/_binary64_21503
cbrt-unprod_binary64_21594 +-commutative_binary64_21491 flip3--_binary64_21565 prod-exp_binary64_21610 sum-log_binary64_21652 difference-of-squares_binary64_21530 flip-+_binary64_21535 flip3-+_binary64_21564 *-commutative_binary64_21492 distribute-lft-out--_binary64_21513 pow-prod-down_binary64_21632 unswap-sqr_binary64_21529 flip--_binary64_21536
Counts
2 → 49
Calls

2 calls:

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

series64.0ms (3.6%)

Counts
2 → 18
Calls

2 calls:

38.0ms
(*.f64 x (-.f64 z y))
26.0ms
(+.f64 y (*.f64 x (-.f64 z y)))

simplify56.0ms (3.2%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05130686

prune38.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh011
Picked011
Done011
Total67370

Merged error: 0b

Counts
70 → 3
Compiler

Compiled 753 to 159 computations (78.9% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (-.f64 z y))
0.0b
(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
0.0b
(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
0.2b
(*.f64 (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))) (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))

rewrite36.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_21583
24×sqrt-prod_binary64_21577
23×pow1_binary64_21622
20×*-un-lft-identity_binary64_21561
18×add-cube-cbrt_binary64_21596
16×sqrt-div_binary64_21578
11×associate-*r*_binary64_21501
10×sqrt-pow1_binary64_21579 pow1/2_binary64_21641
associate-*l*_binary64_21502
swap-sqr_binary64_21528 add-exp-log_binary64_21599 flip-+_binary64_21535 flip3-+_binary64_21564 add-cbrt-cube_binary64_21597
cancel-sign-sub-inv_binary64_21527
pow-prod-up_binary64_21631 unswap-sqr_binary64_21529
distribute-lft-in_binary64_21510 distribute-rgt-in_binary64_21511 frac-times_binary64_21571 rem-sqrt-square_binary64_21574 associate-*r/_binary64_21503 add-log-exp_binary64_21600 pow-prod-down_binary64_21632
pow-sqr_binary64_21534
cbrt-unprod_binary64_21594 associate-*l/_binary64_21504 prod-exp_binary64_21610 sub-neg_binary64_21554 *-commutative_binary64_21492
rem-square-sqrt_binary64_21573 flip3--_binary64_21565 difference-of-squares_binary64_21530 sqr-abs_binary64_21576 pow-plus_binary64_21624 distribute-lft-out--_binary64_21513 sqrt-unprod_binary64_21581 pow2_binary64_21642 flip--_binary64_21536
Counts
4 → 118
Calls

4 calls:

11.0ms
(*.f64 (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))) (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
8.0ms
(*.f64 x (-.f64 z y))
3.0ms
(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
3.0ms
(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

series183.0ms (10.5%)

Counts
4 → 36
Calls

4 calls:

61.0ms
(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
55.0ms
(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
36.0ms
(*.f64 x (-.f64 z y))
30.0ms
(*.f64 (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))) (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))

simplify76.0ms (4.3%)

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049692896
149692896

prune114.0ms (6.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh000
Picked011
Done022
Total1543157

Merged error: 0b

Counts
157 → 3
Compiler

Compiled 3381 to 602 computations (82.2% saved)

regimes45.0ms (2.6%)

Compiler

Compiled 196 to 158 computations (19.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample546.0ms (31.2%)

Algorithm
intervals
Results
231.0ms8000×body128valid
22.0ms693×body128invalid
Compiler

Compiled 69 to 57 computations (17.4% saved)

Profiling

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