Details

Time bar (total: 3.7s)

sample28.0ms

Algorithm
intervals
Results
15.0ms443×body80valid

simplify92.0ms

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: 7.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
7.1b
(* x.re (- (* x.im x.im)))

rewrite13.0ms

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))
12.0ms
(* x.re (- (* x.im x.im)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
30.0ms
(* x.re (- (* x.im x.im)))

simplify133.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune116.0ms

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

rewrite22.0ms

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:
0.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
21.0ms
(* (* x.re (- x.im)) x.im)

series87.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
34.0ms
(* (* x.re (- x.im)) x.im)

simplify31.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0151193
1780168
25001167

prune102.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
22.2b
(cbrt (* (* x.re (- x.im)) x.im))
22.2b
(cbrt (* (* x.re (- x.im)) x.im))
22.2b
(cbrt (* (* x.re (- x.im)) x.im))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
28.0ms
(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
16.0ms
(cbrt (* (* x.re (- x.im)) x.im))
19.0ms
(cbrt (* (* x.re (- x.im)) x.im))
16.0ms
(cbrt (* (* x.re (- x.im)) x.im))

series644.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
105.0ms
(cbrt (* (* x.re (- x.im)) x.im))
302.0ms
(cbrt (* (* x.re (- x.im)) x.im))
105.0ms
(cbrt (* (* x.re (- x.im)) x.im))

simplify99.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0218569
1732500
23403434
35002428

prune273.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x.im)
12.3b
(cbrt (* x.re (- x.im)))
22.2b
(cbrt (* (* x.re (- x.im)) x.im))
22.2b
(cbrt (* (* x.re (- x.im)) x.im))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×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
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt x.im)
4.0ms
(cbrt (* x.re (- x.im)))
16.0ms
(cbrt (* (* x.re (- x.im)) x.im))
16.0ms
(cbrt (* (* x.re (- x.im)) x.im))

series498.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x.im)
99.0ms
(cbrt (* x.re (- x.im)))
107.0ms
(cbrt (* (* x.re (- x.im)) x.im))
105.0ms
(cbrt (* (* x.re (- x.im)) x.im))

simplify109.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0178295
1391267
21127239
33957239
45001239

prune250.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes115.0ms

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

sample818.0ms

Algorithm
intervals
Results
491.0ms14419×body80valid