Details

Time bar (total: 3.1s)

sample26.0ms

Algorithm
intervals
Results
16.0ms451×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (18.0ms)

IterNodesCost
0249
1619
21688
34836
414185
538575
650015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.3b
(* 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)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
29.0ms
(* x.re (- (* x.im x.im)))

simplify135.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune113.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

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))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out associate-*l* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 31
Calls
2 calls:
6.0ms
(* (* x.re (- x.im)) x.im)
1.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))

series83.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (* x.re (- x.im)) x.im)
54.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))

simplify31.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0151193
1780168
25001167

prune98.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))))
16.5b
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
16.5b
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
16.5b
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
13×cbrt-prod
12×pow1/3
11×add-sqr-sqrt
9×add-exp-log add-cube-cbrt *-un-lft-identity pow-prod-up
6×pow-plus associate-*r*
5×pow-prod-down add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2 unswap-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 76
Calls
4 calls:
8.0ms
(* (* (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))))
1.0ms
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
1.0ms
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
1.0ms
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))) (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))))
138.0ms
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
144.0ms
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
143.0ms
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

simplify40.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
01871034
1704842
25002726

prune269.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 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))
0.3b
(pow (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) 3)
16.5b
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
6×unpow-prod-down cube-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow-pow pow1/3
1×distribute-lft-neg-out cube-mult pow-to-exp unpow3 associate-*l* pow-exp *-commutative distribute-rgt-neg-out fma-udef rem-cube-cbrt sqr-pow
Counts
4 → 76
Calls
4 calls:
5.0ms
(* (* x.re (- x.im)) x.im)
1.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
7.0ms
(pow (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) 3)
1.0ms
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x.re (- x.im)) x.im)
57.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
183.0ms
(pow (cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))) 3)
138.0ms
(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

simplify53.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0292629
11427551
25002545

prune190.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes132.0ms

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

sample743.0ms

Algorithm
intervals
Results
515.0ms14413×body80valid