Details

Time bar (total: 4.1s)

sample48.0ms

Algorithm
intervals
Results
37.0ms456×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: 6.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
7.6b
(* x.re (- (* x.im x.im)))

rewrite5.0ms

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)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
32.0ms
(* 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

prune108.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))

rewrite12.0ms

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))
11.0ms
(* (* x.re x.im) (- x.im))

series265.0ms

Counts
2 → 6
Calls
2 calls:
236.0ms
(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 (6 fresh and 2 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))))
26.1b
(cbrt (* (* x.re x.im) (- x.im)))
26.1b
(cbrt (* (* x.re x.im) (- x.im)))
26.1b
(cbrt (* (* x.re x.im) (- x.im)))

rewrite25.0ms

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:
8.0ms
(* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im))))
6.0ms
(cbrt (* (* x.re x.im) (- x.im)))
5.0ms
(cbrt (* (* x.re x.im) (- x.im)))
5.0ms
(cbrt (* (* x.re x.im) (- x.im)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (cbrt (* (* x.re x.im) (- x.im))) (cbrt (* (* x.re x.im) (- x.im))))
97.0ms
(cbrt (* (* x.re x.im) (- x.im)))
98.0ms
(cbrt (* (* x.re x.im) (- x.im)))
98.0ms
(cbrt (* (* x.re x.im) (- x.im)))

simplify97.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0218569
1735500
23374434
35001428

prune246.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x.im))
12.0b
(cbrt (* x.re x.im))
26.1b
(cbrt (* (* x.re x.im) (- x.im)))
26.1b
(cbrt (* (* x.re x.im) (- x.im)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
7×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 → 53
Calls
4 calls:
1.0ms
(cbrt (- x.im))
1.0ms
(cbrt (* x.re x.im))
5.0ms
(cbrt (* (* x.re x.im) (- x.im)))
5.0ms
(cbrt (* (* x.re x.im) (- x.im)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (- x.im))
64.0ms
(cbrt (* x.re x.im))
97.0ms
(cbrt (* (* x.re x.im) (- x.im)))
98.0ms
(cbrt (* (* x.re x.im) (- x.im)))

simplify93.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0181327
1376299
21072271
33326269
45002269

prune243.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

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

sample1.4s

Algorithm
intervals
Results
1.2s14515×body80valid