Details

Time bar (total: 3.5s)

analyze406.0ms (11.8%)

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
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample20.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms48×body128invalid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify292.0ms (8.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (128.0ms)

IterNodesCost
0505916

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.1b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 z z) (+.f64 z 1))
14.6b
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))

rewrite24.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64_4830 add-cbrt-cube_binary64_4828
12×cbrt-unprod_binary64_4825 prod-exp_binary64_4841
pow1_binary64_4853
div-exp_binary64_4843 cbrt-undiv_binary64_4826
*-un-lft-identity_binary64_4795
associate-*r/_binary64_4739 associate-*r*_binary64_4737 add-sqr-sqrt_binary64_4816
add-cube-cbrt_binary64_4827 pow-prod-down_binary64_4863
flip3-+_binary64_4798 flip-+_binary64_4769 add-log-exp_binary64_4831 associate-/r/_binary64_4743
unswap-sqr_binary64_4763 clear-num_binary64_4794 frac-2neg_binary64_4806 distribute-lft-out_binary64_4748 div-inv_binary64_4792 distribute-rgt-in_binary64_4747 associate-/r*_binary64_4741 *-commutative_binary64_4728 associate-*l*_binary64_4738 associate-/l*_binary64_4742 times-frac_binary64_4801 distribute-lft-in_binary64_4746
Counts
2 → 51
Calls

2 calls:

11.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
9.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))

series199.0ms (5.8%)

Counts
2 → 6
Calls

2 calls:

126.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
73.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))

simplify63.0ms (1.8%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05000858

prune57.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New53457
Fresh000
Picked011
Done000
Total53558

Merged error: 2.0b

Counts
58 → 5
Compiler

Compiled 891 to 435 computations (51.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 y (/.f64 x (*.f64 z z))) (+.f64 z 1))
8.4b
(/.f64 x (*.f64 z z))
8.9b
(*.f64 y (/.f64 x (*.f64 z z)))

rewrite32.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
31×add-exp-log_binary64_4830 add-cbrt-cube_binary64_4828
14×*-un-lft-identity_binary64_4795 add-sqr-sqrt_binary64_4816
11×times-frac_binary64_4801
10×div-exp_binary64_4843 cbrt-undiv_binary64_4826 add-cube-cbrt_binary64_4827
cbrt-unprod_binary64_4825 prod-exp_binary64_4841
associate-*r*_binary64_4737
pow1_binary64_4853 associate-/r*_binary64_4741
associate-/l*_binary64_4742
div-inv_binary64_4792 associate-*l*_binary64_4738 add-log-exp_binary64_4831
unswap-sqr_binary64_4763 clear-num_binary64_4794 frac-2neg_binary64_4806 associate-*r/_binary64_4739 distribute-lft-out_binary64_4748 associate-/r/_binary64_4743
associate-/l/_binary64_4744 flip3-+_binary64_4798 flip-+_binary64_4769 *-commutative_binary64_4728 pow-prod-down_binary64_4863
Counts
3 → 79
Calls

3 calls:

13.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 z z))) (+.f64 z 1))
8.0ms
(*.f64 y (/.f64 x (*.f64 z z)))
5.0ms
(/.f64 x (*.f64 z z))

series212.0ms (6.2%)

Counts
3 → 9
Calls

3 calls:

122.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 z z))) (+.f64 z 1))
58.0ms
(*.f64 y (/.f64 x (*.f64 z z)))
33.0ms
(/.f64 x (*.f64 z z))

simplify55.0ms (1.6%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049801210
149801210

prune78.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New80888
Fresh123
Picked101
Done101
Total831093

Merged error: 0.0b

Counts
93 → 10
Compiler

Compiled 1477 to 642 computations (56.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
4.3b
(*.f64 y (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_4816
13×add-exp-log_binary64_4830
11×add-cbrt-cube_binary64_4828
10×*-un-lft-identity_binary64_4795 add-cube-cbrt_binary64_4827
cbrt-prod_binary64_4823
associate-*r*_binary64_4737
pow1_binary64_4853
add-log-exp_binary64_4831 times-frac_binary64_4801 cbrt-unprod_binary64_4825 prod-exp_binary64_4841
associate-*l*_binary64_4738 pow1/3_binary64_4874
unswap-sqr_binary64_4763 div-exp_binary64_4843 cbrt-undiv_binary64_4826
associate-*r/_binary64_4739 div-inv_binary64_4792 *-commutative_binary64_4728 pow-prod-down_binary64_4863
Counts
4 → 61
Calls

4 calls:

9.0ms
(*.f64 y (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series642.0ms (18.6%)

Counts
4 → 12
Calls

4 calls:

169.0ms
(*.f64 y (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z))
163.0ms
(cbrt.f64 x)
157.0ms
(cbrt.f64 x)
152.0ms
(cbrt.f64 x)

simplify86.0ms (2.5%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04938648
14938648

prune72.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New73073
Fresh099
Picked011
Done000
Total731083

Merged error: 0.0b

Counts
83 → 10
Compiler

Compiled 1675 to 730 computations (56.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
3.7b
(*.f64 (/.f64 y z) (/.f64 x z))

rewrite31.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
32×add-exp-log_binary64_4830 add-cbrt-cube_binary64_4828
30×add-sqr-sqrt_binary64_4816
26×times-frac_binary64_4801
22×*-un-lft-identity_binary64_4795
18×add-cube-cbrt_binary64_4827
13×div-exp_binary64_4843 cbrt-undiv_binary64_4826 associate-*r*_binary64_4737 associate-*l*_binary64_4738
cbrt-unprod_binary64_4825 prod-exp_binary64_4841
unswap-sqr_binary64_4763 pow1_binary64_4853 associate-/r*_binary64_4741
associate-/l/_binary64_4744 div-inv_binary64_4792
associate-*r/_binary64_4739 distribute-lft-out_binary64_4748 associate-*l/_binary64_4740 add-log-exp_binary64_4831 frac-times_binary64_4805 associate-/r/_binary64_4743
clear-num_binary64_4794 frac-2neg_binary64_4806 flip3-+_binary64_4798 flip-+_binary64_4769 *-commutative_binary64_4728 associate-/l*_binary64_4742 pow-prod-down_binary64_4863
Counts
2 → 84
Calls

2 calls:

12.0ms
(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
11.0ms
(*.f64 (/.f64 y z) (/.f64 x z))

series155.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

102.0ms
(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
54.0ms
(*.f64 (/.f64 y z) (/.f64 x z))

simplify79.0ms (2.3%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
051141367

prune71.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New87390
Fresh358
Picked101
Done011
Total919100

Merged error: 0b

Counts
100 → 9
Compiler

Compiled 1437 to 548 computations (61.9% saved)

regimes55.0ms (1.6%)

Compiler

Compiled 417 to 312 computations (25.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
11728

end0.0ms (0%)

sample763.0ms (22.1%)

Algorithm
intervals
Results
294.0ms8000×body128valid
63.0ms1586×body128invalid
Compiler

Compiled 193 to 140 computations (27.5% saved)

Profiling

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