Details

Time bar (total: 3.8s)

sample26.0ms

Algorithm
intervals
Results
15.0ms452×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (18.0ms)

IterNodesCost
0249
1619
21688
34836
414185
538575
650015

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
7.5b
(* x.re (- (* x.im x.im)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-*r*
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod fma-udef unswap-sqr
Counts
2 → 34
Calls
2 calls:
1.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.0ms
(* x.re (- (* x.im x.im)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
32.0ms
(* x.re (- (* x.im x.im)))

simplify132.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune111.0ms

Filtered
40 candidates to 33 candidates (82.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
0.2b
(* (* x.re (- x.im)) x.im)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-lft-neg-out associate-*l* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 31
Calls
2 calls:
1.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
5.0ms
(* (* x.re (- x.im)) x.im)

series84.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
28.0ms
(* (* x.re (- x.im)) x.im)

simplify29.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0151193
1780168
25001167

prune89.0ms

Filtered
37 candidates to 27 candidates (73.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series728.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt x.im) (cbrt x.im))
182.0ms
(cbrt x.im)
175.0ms
(cbrt x.im)
177.0ms
(cbrt x.im)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune282.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series727.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x.im)
186.0ms
(cbrt x.im)
178.0ms
(cbrt x.im)
183.0ms
(cbrt x.im)

simplify128.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune255.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1205
2235
3235

end0.0ms

sample731.0ms

Algorithm
intervals
Results
508.0ms14374×body80valid