Details

Time bar (total: 2.4s)

sample26.0ms

Algorithm
intervals
Results
16.0ms454×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (19.0ms)

IterNodesCost
0249
1619
21688
34836
414185
538575
650015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.8b
(* 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:
0.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
4.0ms
(* x.re (- (* x.im x.im)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
29.0ms
(* x.re (- (* x.im x.im)))

simplify139.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune107.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
0.0ms
(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
8.0ms
(* (* 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))
29.0ms
(* (* x.re x.im) (- x.im))

simplify38.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0186216
11009190
25001185

prune112.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
5.8b
(* (pow x.im 2) x.re)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*r* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 add-log-exp sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
6.0ms
(* (pow x.im 2) x.re)

series90.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(fma 3 (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
18.0ms
(* (pow x.im 2) x.re)

simplify100.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0136197
1451169
22998168
35002168

prune127.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
5.6b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
7×associate-*l*
6×associate-*r*
4×expm1-log1p-u flip3-- flip3-+ frac-sub flip-- flip-+ log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sub-neg fma-def fma-neg diff-log prod-diff sum-log difference-of-squares
Counts
4 → 79
Calls
4 calls:
2.0ms
(+ (* x.re x.im) (* x.im x.re))
9.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
9.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
10.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series154.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (* x.re x.im) (* x.im x.re))
56.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
50.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify71.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0434759
12133646
25001586

prune208.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b 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

sample744.0ms

Algorithm
intervals
Results
524.0ms14547×body80valid