Details

Time bar (total: 7.3s)

analyze200.0ms (2.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07520
17520
022
122
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
25%74.9%0.1%5
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample132.0ms (1.8%)

Algorithm
intervals
Results
8.0ms256×body128valid
5.0ms39×body128invalid
Compiler

Compiled 2969 to 3561 computations (-19.9% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04810
14810

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 x 4/29) 3)
0.2b
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)

rewrite64.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_21963 add-exp-log_binary64_21940 add-cbrt-cube_binary64_21938 add-sqr-sqrt_binary64_21924
*-un-lft-identity_binary64_21902
associate-*l/_binary64_21845 associate-*l*_binary64_21843 associate-*r*_binary64_21842
add-cube-cbrt_binary64_21937
pow-prod-down_binary64_21973 prod-exp_binary64_21951 cbrt-unprod_binary64_21935
add-log-exp_binary64_21941 flip3--_binary64_21906 flip--_binary64_21877 *-commutative_binary64_21833
unswap-sqr_binary64_21870 difference-of-squares_binary64_21871 distribute-lft-out--_binary64_21854
Counts
2 → 42
Calls

2 calls:

8.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
6.0ms
(*.f64 (-.f64 x 4/29) 3)
Compiler

Compiled 568 to 433 computations (23.8% saved)

series177.0ms (2.4%)

Error
0.1b
Counts
2 → 15
Calls

2 calls:

124.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
41.0ms
(*.f64 (-.f64 x 4/29) 3)
Compiler

Compiled 259 to 222 computations (14.3% saved)

simplify74.0ms (1%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04932556
14932556

prune57.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52557
Fresh000
Picked011
Done000
Total52658
Error
0b
Counts
58 → 6
Compiler

Compiled 646 to 493 computations (23.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (-.f64 x 4/29) (*.f64 y 3))

rewrite32.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_21963 add-exp-log_binary64_21940 add-cbrt-cube_binary64_21938
associate-*l*_binary64_21843
add-sqr-sqrt_binary64_21924 *-un-lft-identity_binary64_21902
pow-prod-down_binary64_21973 prod-exp_binary64_21951 cbrt-unprod_binary64_21935
add-cube-cbrt_binary64_21937 associate-*l/_binary64_21845
add-log-exp_binary64_21941 flip3--_binary64_21906 flip--_binary64_21877 difference-of-squares_binary64_21871 distribute-lft-out--_binary64_21854 associate-*r*_binary64_21842 *-commutative_binary64_21833
Counts
1 → 22
Calls

1 calls:

7.0ms
(*.f64 (-.f64 x 4/29) (*.f64 y 3))
Compiler

Compiled 306 to 235 computations (23.2% saved)

series127.0ms (1.7%)

Error
0b
Counts
1 → 9
Calls

1 calls:

117.0ms
(*.f64 (-.f64 x 4/29) (*.f64 y 3))
Compiler

Compiled 170 to 143 computations (15.9% saved)

simplify50.0ms (0.7%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05255338

prune27.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New30131
Fresh134
Picked011
Done011
Total31637
Error
0b
Counts
37 → 6
Compiler

Compiled 374 to 289 computations (22.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 y (-.f64 x 4/29))
0.3b
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)

rewrite61.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
11×add-sqr-sqrt_binary64_21924
pow1_binary64_21963 add-exp-log_binary64_21940 add-cbrt-cube_binary64_21938 *-un-lft-identity_binary64_21902
associate-*r*_binary64_21842
add-cube-cbrt_binary64_21937
cancel-sign-sub-inv_binary64_21868
pow-prod-down_binary64_21973 prod-exp_binary64_21951 cbrt-unprod_binary64_21935 associate-*r/_binary64_21844 associate-*l*_binary64_21843 distribute-rgt-in_binary64_21852 distribute-lft-in_binary64_21851
add-log-exp_binary64_21941 flip3--_binary64_21906 associate-*l/_binary64_21845 flip--_binary64_21877 *-commutative_binary64_21833 sub-neg_binary64_21895
unswap-sqr_binary64_21870 difference-of-squares_binary64_21871 distribute-lft-out--_binary64_21854
Counts
2 → 50
Calls

2 calls:

7.0ms
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)
7.0ms
(*.f64 y (-.f64 x 4/29))
Compiler

Compiled 674 to 499 computations (26% saved)

series221.0ms (3%)

Error
0b
Counts
2 → 18
Calls

2 calls:

119.0ms
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)
91.0ms
(*.f64 y (-.f64 x 4/29))
Compiler

Compiled 344 to 287 computations (16.6% saved)

simplify69.0ms (0.9%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04935641
14935641

prune54.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done022
Total68674
Error
0b
Counts
74 → 6
Compiler

Compiled 727 to 530 computations (27.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x x) 16/841)
0.7b
(*.f64 3 (-.f64 (*.f64 x x) 16/841))
3.0b
(*.f64 y (*.f64 3 (-.f64 (*.f64 x x) 16/841)))
9.4b
(/.f64 (*.f64 y (*.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))

rewrite185.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
21×cancel-sign-sub-inv_binary64_21868
20×add-exp-log_binary64_21940 add-cbrt-cube_binary64_21938 add-sqr-sqrt_binary64_21924 *-un-lft-identity_binary64_21902 distribute-rgt-in_binary64_21852 distribute-lft-in_binary64_21851
16×add-cube-cbrt_binary64_21937
11×pow1_binary64_21963
10×associate-*r/_binary64_21844
prod-exp_binary64_21951 cbrt-unprod_binary64_21935 sub-neg_binary64_21895
add-log-exp_binary64_21941 associate-*l*_binary64_21843
associate-*r*_binary64_21842
times-frac_binary64_21908 flip3--_binary64_21906 flip--_binary64_21877 associate-/r*_binary64_21846 pow-prod-down_binary64_21973
div-exp_binary64_21953 cbrt-undiv_binary64_21936
distribute-lft-out_binary64_21853 associate-/l/_binary64_21849 associate-/r/_binary64_21848 *-commutative_binary64_21833 difference-of-squares_binary64_21871
frac-2neg_binary64_21913 clear-num_binary64_21901 div-inv_binary64_21899 flip3-+_binary64_21905 flip-+_binary64_21876 associate-/l*_binary64_21847 unswap-sqr_binary64_21870 diff-log_binary64_21994
Counts
4 → 109
Calls

4 calls:

18.0ms
(/.f64 (*.f64 y (*.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))
10.0ms
(*.f64 y (*.f64 3 (-.f64 (*.f64 x x) 16/841)))
9.0ms
(*.f64 3 (-.f64 (*.f64 x x) 16/841))
4.0ms
(-.f64 (*.f64 x x) 16/841)
Compiler

Compiled 2318 to 1528 computations (34.1% saved)

series542.0ms (7.4%)

Error
0b
Counts
4 → 30
Calls

4 calls:

230.0ms
(/.f64 (*.f64 y (*.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))
157.0ms
(*.f64 y (*.f64 3 (-.f64 (*.f64 x x) 16/841)))
72.0ms
(*.f64 3 (-.f64 (*.f64 x x) 16/841))
56.0ms
(-.f64 (*.f64 x x) 16/841)
Compiler

Compiled 888 to 753 computations (15.2% saved)

simplify63.0ms (0.9%)

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049091838
149091838

prune131.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1381139
Fresh112
Picked011
Done033
Total1396145
Error
0b
Counts
145 → 6
Compiler

Compiled 2189 to 1392 computations (36.4% saved)

regimes416.0ms (5.7%)

Accuracy

Total 0.2b remaining (99.5%)

Threshold costs 0.2b (99.5%)

Compiler

Compiled 3284 to 2982 computations (9.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02010
12010

end0.0ms (0%)

sample4.6s (63%)

Algorithm
intervals
Results
236.0ms8000×body128valid
36.0ms1158×body128invalid
Compiler

Compiled 92238 to 110492 computations (-19.8% saved)

Profiling

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