Details

Time bar (total: 4.4s)

analyze390.0ms (8.8%)

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)

sample19.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms44×body128invalid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify290.0ms (6.5%)

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: 14.9b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 z z) (+.f64 z 1))
14.5b
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64_10896 add-cbrt-cube_binary64_10894
12×prod-exp_binary64_10907 cbrt-unprod_binary64_10891
pow1_binary64_10919
cbrt-undiv_binary64_10892 div-exp_binary64_10909
*-un-lft-identity_binary64_10861
associate-*r/_binary64_10805 associate-*r*_binary64_10803 add-sqr-sqrt_binary64_10882
pow-prod-down_binary64_10929 add-cube-cbrt_binary64_10893
associate-/r/_binary64_10809 flip3-+_binary64_10864 add-log-exp_binary64_10897 flip-+_binary64_10835
associate-/l*_binary64_10808 *-commutative_binary64_10794 div-inv_binary64_10858 unswap-sqr_binary64_10829 times-frac_binary64_10867 frac-2neg_binary64_10872 associate-/r*_binary64_10807 distribute-rgt-in_binary64_10813 clear-num_binary64_10860 distribute-lft-in_binary64_10812 associate-*l*_binary64_10804 distribute-lft-out_binary64_10814
Counts
2 → 51
Calls

2 calls:

12.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
9.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))

series185.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

118.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
67.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))

simplify63.0ms (1.4%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05000858

prune57.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 2.5b

Counts
58 → 6
Compiler

Compiled 912 to 453 computations (50.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 y (+.f64 z 1))
6.8b
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
8.9b
(/.f64 x (*.f64 z z))

rewrite37.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity_binary64_10861
34×times-frac_binary64_10867 add-sqr-sqrt_binary64_10882
31×add-exp-log_binary64_10896 add-cbrt-cube_binary64_10894
24×add-cube-cbrt_binary64_10893
18×associate-*r*_binary64_10803
10×cbrt-undiv_binary64_10892 div-exp_binary64_10909
prod-exp_binary64_10907 cbrt-unprod_binary64_10891
associate-*l*_binary64_10804 distribute-lft-out_binary64_10814
associate-/l*_binary64_10808
pow1_binary64_10919 associate-/r*_binary64_10807
associate-/r/_binary64_10809 div-inv_binary64_10858 unswap-sqr_binary64_10829
add-log-exp_binary64_10897
flip3-+_binary64_10864 frac-2neg_binary64_10872 clear-num_binary64_10860 flip-+_binary64_10835
associate-*r/_binary64_10805 pow-prod-down_binary64_10929 frac-times_binary64_10871 *-commutative_binary64_10794 associate-*l/_binary64_10806
Counts
3 → 107
Calls

3 calls:

17.0ms
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
5.0ms
(/.f64 y (+.f64 z 1))
5.0ms
(/.f64 x (*.f64 z z))

series201.0ms (4.5%)

Counts
3 → 9
Calls

3 calls:

106.0ms
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
60.0ms
(/.f64 y (+.f64 z 1))
36.0ms
(/.f64 x (*.f64 z z))

simplify70.0ms (1.6%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050571776

prune106.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1115116
Fresh235
Picked101
Done000
Total1148122

Merged error: 0.0b

Counts
122 → 8
Compiler

Compiled 2018 to 946 computations (53.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite16.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_10889
23×add-sqr-sqrt_binary64_10882
15×*-un-lft-identity_binary64_10861 add-cube-cbrt_binary64_10893
11×pow1_binary64_10919
pow1/3_binary64_10940
associate-*r*_binary64_10803 swap-sqr_binary64_10828 add-exp-log_binary64_10896 associate-*l*_binary64_10804
unswap-sqr_binary64_10829 add-log-exp_binary64_10897 add-cbrt-cube_binary64_10894
pow-prod-down_binary64_10929 pow-sqr_binary64_10834 pow-prod-up_binary64_10928
prod-exp_binary64_10907 pow-plus_binary64_10921 pow2_binary64_10939 cbrt-unprod_binary64_10891 *-commutative_binary64_10794
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series694.0ms (15.6%)

Counts
4 → 12
Calls

4 calls:

205.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
172.0ms
(cbrt.f64 x)
158.0ms
(cbrt.f64 x)
158.0ms
(cbrt.f64 x)

simplify70.0ms (1.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04957563
14957563

prune82.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8
Compiler

Compiled 1841 to 799 computations (56.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 y (+.f64 z 1))
0.5b
(*.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
2.8b
(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

rewrite52.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
94×add-exp-log_binary64_10896
58×add-cbrt-cube_binary64_10894
48×*-un-lft-identity_binary64_10861
46×times-frac_binary64_10867 add-sqr-sqrt_binary64_10882
40×prod-exp_binary64_10907
34×add-cube-cbrt_binary64_10893
31×div-exp_binary64_10909
26×associate-*l*_binary64_10804
22×cbrt-unprod_binary64_10891
19×associate-*r*_binary64_10803
18×cbrt-undiv_binary64_10892
10×pow1_binary64_10919
distribute-lft-out_binary64_10814
associate-*r/_binary64_10805 frac-times_binary64_10871
1-exp_binary64_10902 rec-exp_binary64_10908
associate-/r/_binary64_10809 pow-prod-down_binary64_10929 div-inv_binary64_10858 unswap-sqr_binary64_10829 associate-*l/_binary64_10806 associate-/r*_binary64_10807
associate-/l*_binary64_10808 add-log-exp_binary64_10897
*-commutative_binary64_10794 flip3-+_binary64_10864 flip-+_binary64_10835
frac-2neg_binary64_10872 clear-num_binary64_10860
Counts
3 → 149
Calls

3 calls:

16.0ms
(*.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
15.0ms
(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))
6.0ms
(/.f64 y (+.f64 z 1))

series243.0ms (5.5%)

Counts
3 → 9
Calls

3 calls:

104.0ms
(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))
89.0ms
(*.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
49.0ms
(/.f64 y (+.f64 z 1))

simplify85.0ms (1.9%)

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050022588

prune141.0ms (3.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1544158
Fresh336
Picked101
Done101
Total1597166

Merged error: 0b

Counts
166 → 7
Compiler

Compiled 2795 to 1257 computations (55% saved)

regimes392.0ms (8.8%)

Compiler

Compiled 3981 to 2964 computations (25.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
11728

end0.0ms (0%)

sample1.2s (26.5%)

Algorithm
intervals
Results
280.0ms8000×body128valid
51.0ms1522×body128invalid
Compiler

Compiled 675 to 498 computations (26.2% saved)

Profiling

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