Details

Time bar (total: 3.8s)

sample30.0ms

Algorithm
intervals
Results
16.0ms498×body80valid

simplify94.0ms

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: 8.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
8.8b
(* 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)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
32.0ms
(* x.re (- (* x.im x.im)))

simplify137.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune110.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

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)

rewrite25.0ms

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))
24.0ms
(* (* x.re (- x.im)) x.im)

series82.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
28.0ms
(* (* x.re (- x.im)) x.im)

simplify31.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0151193
1780168
25001167

prune91.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.im) (cbrt x.im))
0.5b
(cbrt x.im)
0.5b
(cbrt x.im)
0.5b
(cbrt x.im)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series745.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt x.im) (cbrt x.im))
178.0ms
(cbrt x.im)
181.0ms
(cbrt x.im)
180.0ms
(cbrt x.im)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
26.2b
(cbrt (* (* x.re (- x.im)) x.im))
26.2b
(cbrt (* (* x.re (- x.im)) x.im))
26.2b
(cbrt (* (* x.re (- x.im)) x.im))

rewrite79.0ms

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:
29.0ms
(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
18.0ms
(cbrt (* (* x.re (- x.im)) x.im))
15.0ms
(cbrt (* (* x.re (- x.im)) x.im))
15.0ms
(cbrt (* (* x.re (- x.im)) x.im))

series617.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
99.0ms
(cbrt (* (* x.re (- x.im)) x.im))
99.0ms
(cbrt (* (* x.re (- x.im)) x.im))
99.0ms
(cbrt (* (* x.re (- x.im)) x.im))

simplify100.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0218569
1732500
23403434
35002428

prune235.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes103.0ms

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

sample770.0ms

Algorithm
intervals
Results
476.0ms14264×body80valid