Details

Time bar (total: 3.0s)

analyze264.0ms (8.9%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms14×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify167.0ms (5.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03010
13010

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_3805 *-un-lft-identity_binary64_3784
add-exp-log_binary64_3819 associate-*r*_binary64_3726 add-log-exp_binary64_3820 pow1_binary64_3842 add-cbrt-cube_binary64_3817 add-cube-cbrt_binary64_3816
associate-*l*_binary64_3727
flip-+_binary64_3758 flip3-+_binary64_3787 associate-*r/_binary64_3728 distribute-lft-in_binary64_3735 distribute-rgt-in_binary64_3736 associate-+r+_binary64_3718
unswap-sqr_binary64_3752 sum-log_binary64_3872 +-commutative_binary64_3716 prod-exp_binary64_3830 *-commutative_binary64_3717 distribute-lft-out_binary64_3737 pow-prod-down_binary64_3852 cbrt-unprod_binary64_3814
Counts
2 → 36
Calls

2 calls:

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

series101.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(*.f64 y (+.f64 z x))
47.0ms
(+.f64 x (*.f64 y (+.f64 z x)))

simplify59.0ms (2%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05049467

prune34.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New38442
Fresh000
Picked101
Done000
Total39443

Merged error: 0b

Counts
43 → 4
Compiler

Compiled 548 to 161 computations (70.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_3820
sum-log_binary64_3872 *-un-lft-identity_binary64_3784
flip-+_binary64_3758 add-exp-log_binary64_3819 add-sqr-sqrt_binary64_3805 +-commutative_binary64_3716 flip3-+_binary64_3787 distribute-lft-out_binary64_3737 pow1_binary64_3842 add-cbrt-cube_binary64_3817 add-cube-cbrt_binary64_3816
associate-+r+_binary64_3718
Counts
2 → 26
Calls

2 calls:

6.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
4.0ms
(+.f64 (*.f64 y z) (*.f64 y x))

series101.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(+.f64 (*.f64 y z) (*.f64 y x))
48.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))

simplify64.0ms (2.1%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04983410
14983410

prune23.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh033
Picked011
Done000
Total32436

Merged error: 0b

Counts
36 → 4
Compiler

Compiled 442 to 129 computations (70.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite15.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3812
23×add-sqr-sqrt_binary64_3805
15×add-cube-cbrt_binary64_3816 *-un-lft-identity_binary64_3784
11×pow1_binary64_3842
pow1/3_binary64_3863
add-exp-log_binary64_3819 associate-*r*_binary64_3726 associate-*l*_binary64_3727 swap-sqr_binary64_3751
unswap-sqr_binary64_3752 add-log-exp_binary64_3820 add-cbrt-cube_binary64_3817
pow-prod-up_binary64_3851 pow-prod-down_binary64_3852 pow-sqr_binary64_3757
prod-exp_binary64_3830 pow2_binary64_3862 *-commutative_binary64_3717 pow-plus_binary64_3844 cbrt-unprod_binary64_3814
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series660.0ms (22.2%)

Counts
4 → 12
Calls

4 calls:

179.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
173.0ms
(cbrt.f64 y)
154.0ms
(cbrt.f64 y)
154.0ms
(cbrt.f64 y)

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04957563
14957563

prune65.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4
Compiler

Compiled 1452 to 418 computations (71.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x)))
2.3b
(-.f64 (*.f64 z z) (*.f64 x x))
11.9b
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
18.7b
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))

rewrite38.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_3805 *-un-lft-identity_binary64_3784
11×add-exp-log_binary64_3819 add-cbrt-cube_binary64_3817
add-log-exp_binary64_3820 add-cube-cbrt_binary64_3816
pow1_binary64_3842
times-frac_binary64_3790 associate-/r*_binary64_3730
associate-*r*_binary64_3726 flip3--_binary64_3788 difference-of-squares_binary64_3753 associate-*r/_binary64_3728 flip--_binary64_3759
associate-*l*_binary64_3727 sub-neg_binary64_3777
distribute-lft-out--_binary64_3738 prod-exp_binary64_3830 associate-/r/_binary64_3732 associate-/l/_binary64_3733 div-exp_binary64_3832 cbrt-undiv_binary64_3815 cbrt-unprod_binary64_3814
flip-+_binary64_3758 unswap-sqr_binary64_3752 clear-num_binary64_3783 sum-log_binary64_3872 +-commutative_binary64_3716 flip3-+_binary64_3787 *-commutative_binary64_3717 div-inv_binary64_3781 distribute-lft-out_binary64_3737 pow-prod-down_binary64_3852 associate-/l*_binary64_3731 frac-2neg_binary64_3795 distribute-lft-in_binary64_3735 diff-log_binary64_3873 distribute-rgt-in_binary64_3736
Counts
4 → 76
Calls

4 calls:

11.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))
9.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x)))
7.0ms
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
4.0ms
(-.f64 (*.f64 z z) (*.f64 x x))

series447.0ms (15.1%)

Counts
4 → 12
Calls

4 calls:

185.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))
121.0ms
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
102.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x)))
39.0ms
(-.f64 (*.f64 z z) (*.f64 x x))

simplify40.0ms (1.4%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
053101371

prune61.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done022
Total88492

Merged error: 0b

Counts
92 → 4
Compiler

Compiled 1604 to 412 computations (74.3% saved)

regimes88.0ms (3%)

Compiler

Compiled 672 to 442 computations (34.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample601.0ms (20.2%)

Algorithm
intervals
Results
196.0ms8000×body128valid
15.0ms615×body128invalid
Compiler

Compiled 180 to 120 computations (33.3% saved)

Profiling

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