Details

Time bar (total: 3.9s)

sample29.0ms

Algorithm
intervals
Results
17.0ms487×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (19.0ms)

IterNodesCost
0249
1619
21688
34836
414185
538575
650015

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
8.6b
(* 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:
0.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
4.0ms
(* x.re (- (* x.im x.im)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
30.0ms
(* x.re (- (* x.im x.im)))

simplify139.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune109.0ms

Filtered
40 candidates to 33 candidates (82.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
neg-mul-1 associate-*l* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 38
Calls
2 calls:
0.0ms
(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
8.0ms
(* (* x.re x.im) (- x.im))

series86.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
30.0ms
(* (* x.re x.im) (- x.im))

simplify39.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0186216
11009190
25001185

prune110.0ms

Filtered
44 candidates to 32 candidates (72.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite9.0ms

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))
0.0ms
(cbrt x.im)
0.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series744.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt x.im) (cbrt x.im))
179.0ms
(cbrt x.im)
175.0ms
(cbrt x.im)
181.0ms
(cbrt x.im)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune282.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

9 alts after pruning (7 fresh and 2 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)

rewrite3.0ms

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:
0.0ms
(cbrt x.im)
0.0ms
(cbrt x.im)
0.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series731.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x.im)
181.0ms
(cbrt x.im)
189.0ms
(cbrt x.im)
180.0ms
(cbrt x.im)

simplify131.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune250.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes103.0ms

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
1165
2225
3225

end0.0ms

sample751.0ms

Algorithm
intervals
Results
518.0ms14327×body80valid