Details

Time bar (total: 4.0s)

sample29.0ms

Algorithm
intervals
Results
17.0ms487×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (18.0ms)

IterNodesCost
0249
1619
21688
34836
414185
538575
650015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.1b

localize7.0ms

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
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×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)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
31.0ms
(* x.re (- (* x.im x.im)))

simplify136.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune109.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×neg-mul-1 associate-*l* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 38
Calls
2 calls:
1.0ms
(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
6.0ms
(* (* x.re x.im) (- x.im))

series82.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
29.0ms
(* (* x.re x.im) (- x.im))

simplify37.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0186216
11009190
25001185

prune106.0ms

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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
37×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
15×swap-sqr
13×associate-*r* associate-*l*
11×pow1
9×pow1/3
7×neg-mul-1
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 125
Calls
4 calls:
10.0ms
(* (cbrt (- x.im)) (cbrt (- x.im)))
2.0ms
(cbrt (- x.im))
2.0ms
(cbrt (- x.im))
2.0ms
(cbrt (- x.im))

series783.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (cbrt (- x.im)) (cbrt (- x.im)))
201.0ms
(cbrt (- x.im))
187.0ms
(cbrt (- x.im))
185.0ms
(cbrt (- x.im))

simplify91.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0154726
1552685
22895633
35001611

prune410.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1
Counts
4 → 59
Calls
4 calls:
2.0ms
(cbrt (- x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
2.0ms
(cbrt x.im)

series769.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (- x.im))
195.0ms
(cbrt x.im)
196.0ms
(cbrt x.im)
175.0ms
(cbrt x.im)

simplify53.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
072223
1154209
2367201
31328201
45001201

prune319.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes102.0ms

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

sample704.0ms

Algorithm
intervals
Results
488.0ms14327×body80valid