Details

Time bar (total: 7.2s)

analyze1.3s (17.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69%3.7%12
36.6%56.5%6.8%13
40.5%52%7.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample31.0ms (0.4%)

Algorithm
intervals
Results
13.0ms256×body128valid
2.0ms48×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify196.0ms (2.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
043810
143810

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 23 to 22 computations (4.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(-.f64 (*.f64 x y) (*.f64 z y))
6.1b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)

rewrite25.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_16809
add-log-exp_binary64_16826 pow1_binary64_16848 add-cube-cbrt_binary64_16822 associate-*l*_binary64_16728 add-exp-log_binary64_16825 *-un-lft-identity_binary64_16787 add-cbrt-cube_binary64_16823
associate-*r*_binary64_16727
flip3--_binary64_16791 distribute-rgt-out--_binary64_16741 flip--_binary64_16762 associate-*l/_binary64_16730
diff-log_binary64_16879 cancel-sign-sub-inv_binary64_16753 cbrt-unprod_binary64_16820 sub-neg_binary64_16780 prod-exp_binary64_16836 *-commutative_binary64_16718 unswap-sqr_binary64_16755 pow-prod-down_binary64_16858
Counts
2 → 34
Calls

2 calls:

13.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
8.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

series158.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

100.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
57.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

simplify110.0ms (1.5%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
05120477

prune72.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New32840
Fresh011
Picked011
Done000
Total321042

Merged error: 0.0b

Counts
42 → 10
Compiler

Compiled 657 to 219 computations (66.7% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 t)
0.5b
(cbrt.f64 t)
1.2b
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
2.6b
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite76.0ms (1%)

Algorithm
rewrite-expression-head
Rules
27×pow1_binary64_16848 add-exp-log_binary64_16825
19×add-cbrt-cube_binary64_16823
16×cbrt-unprod_binary64_16820 prod-exp_binary64_16836 pow-prod-down_binary64_16858
cbrt-prod_binary64_16818 add-cube-cbrt_binary64_16822 add-sqr-sqrt_binary64_16809 *-un-lft-identity_binary64_16787
associate-*r*_binary64_16727
associate-*l/_binary64_16730
add-log-exp_binary64_16826 associate-*r/_binary64_16729 associate-*l*_binary64_16728
*-commutative_binary64_16718 flip3--_binary64_16791 pow1/3_binary64_16869 flip--_binary64_16762
Counts
4 → 74
Calls

4 calls:

33.0ms
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
25.0ms
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
2.0ms
(cbrt.f64 t)
2.0ms
(cbrt.f64 t)

series801.0ms (11.1%)

Counts
4 → 12
Calls

4 calls:

334.0ms
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
177.0ms
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
156.0ms
(cbrt.f64 t)
134.0ms
(cbrt.f64 t)

simplify168.0ms (2.3%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
05079966

prune133.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New82486
Fresh268
Picked011
Done011
Total841296

Merged error: 0.0b

Counts
96 → 12
Compiler

Compiled 1459 to 503 computations (65.5% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (-.f64 x z))
6.1b
(*.f64 (*.f64 y (-.f64 x z)) t)

rewrite36.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_16809
pow1_binary64_16848 add-exp-log_binary64_16825 *-un-lft-identity_binary64_16787 add-cbrt-cube_binary64_16823
associate-*r*_binary64_16727
add-cube-cbrt_binary64_16822
cancel-sign-sub-inv_binary64_16753
cbrt-unprod_binary64_16820 prod-exp_binary64_16836 associate-*r/_binary64_16729 associate-*l*_binary64_16728 distribute-rgt-in_binary64_16737 distribute-lft-in_binary64_16736 pow-prod-down_binary64_16858
add-log-exp_binary64_16826 sub-neg_binary64_16780 *-commutative_binary64_16718 flip3--_binary64_16791 flip--_binary64_16762 associate-*l/_binary64_16730
difference-of-squares_binary64_16756 distribute-lft-out--_binary64_16739 unswap-sqr_binary64_16755
Counts
2 → 50
Calls

2 calls:

15.0ms
(*.f64 (*.f64 y (-.f64 x z)) t)
15.0ms
(*.f64 y (-.f64 x z))

series153.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

94.0ms
(*.f64 (*.f64 y (-.f64 x z)) t)
59.0ms
(*.f64 y (-.f64 x z))

simplify63.0ms (0.9%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05080579

prune70.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh189
Picked011
Done112
Total571168

Merged error: 0.0b

Counts
68 → 11
Compiler

Compiled 761 to 235 computations (69.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 t)
0.5b
(cbrt.f64 t)
1.2b
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
5.2b
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite67.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
34×pow1_binary64_16848 add-exp-log_binary64_16825
21×cbrt-unprod_binary64_16820 prod-exp_binary64_16836 add-cbrt-cube_binary64_16823 pow-prod-down_binary64_16858
cbrt-prod_binary64_16818
add-cube-cbrt_binary64_16822 add-sqr-sqrt_binary64_16809 *-un-lft-identity_binary64_16787
associate-*r*_binary64_16727
associate-*l/_binary64_16730
add-log-exp_binary64_16826 associate-*r/_binary64_16729
*-commutative_binary64_16718 flip3--_binary64_16791 associate-*l*_binary64_16728 pow1/3_binary64_16869 flip--_binary64_16762
Counts
4 → 78
Calls

4 calls:

27.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
24.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
2.0ms
(cbrt.f64 t)
2.0ms
(cbrt.f64 t)

series823.0ms (11.4%)

Counts
4 → 12
Calls

4 calls:

305.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
202.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
161.0ms
(cbrt.f64 t)
155.0ms
(cbrt.f64 t)

simplify171.0ms (2.4%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (140.0ms)

IterNodesCost
051131011

prune104.0ms (1.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh088
Picked011
Done022
Total8912101

Merged error: 0.0b

Counts
101 → 12
Compiler

Compiled 1324 to 375 computations (71.7% saved)

regimes779.0ms (10.7%)

Compiler

Compiled 2756 to 1924 computations (30.2% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
065105
165105

end0.0ms (0%)

sample1.9s (25.9%)

Algorithm
intervals
Results
446.0ms8000×body128valid
115.0ms1978×body128invalid
Compiler

Compiled 554 to 357 computations (35.6% saved)

Profiling

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