Details

Time bar (total: 1.8s)

sample25.0ms

Algorithm
intervals
Results
15.0ms459×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (17.0ms)

IterNodesCost
0249
1619
21688
34836
414185
538575
650015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
8.1b
(* x.re (- (* x.im x.im)))

rewrite5.0ms

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)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
28.0ms
(* x.re (- (* x.im x.im)))

simplify133.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune109.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

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:
8.0ms
(* (* x.re x.im) (- x.im))
0.0ms
(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))

series81.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (* x.re x.im) (- x.im))
53.0ms
(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))

simplify37.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0186216
11009190
25002185

prune112.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
6.0ms
(* (* x.re x.im) x.im)
17.0ms
(* -3 (* (* x.re x.im) x.im))

series57.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (* x.re x.im) x.im)
30.0ms
(* -3 (* (* x.re x.im) x.im))

simplify32.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170195
1863159
25002159

prune93.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* -3 (* x.re x.im)) x.im)
0.3b
(* -3 (* x.re x.im))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
18.0ms
(* (* -3 (* x.re x.im)) x.im)
6.0ms
(* -3 (* x.re x.im))

series46.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (* -3 (* x.re x.im)) x.im)
17.0ms
(* -3 (* x.re x.im))

simplify37.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0174191
1898159
25001159

prune69.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample685.0ms

Algorithm
intervals
Results
476.0ms14416×body80valid