Details

Time bar (total: 3.1s)

sample51.0ms

Algorithm
intervals
Results
39.0ms449×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0185
1464
2774
3873
4873

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (fma y 2.0 x) x (* y y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (fma y 2.0 x) x (* y y))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (fma y 2.0 x) x (* y y))

simplify108.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
04268
110452
246752
3241952
4500152

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma y 2.0 x) x (* y y))
0.0b
(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))))
5.8b
(sqrt (fma (fma y 2.0 x) x (* y y)))
5.8b
(sqrt (fma (fma y 2.0 x) x (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (fma y 2.0 x) x (* y y))
7.0ms
(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))))
1.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
1.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (fma y 2.0 x) x (* y y))
30.0ms
(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))))
71.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
67.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))

simplify162.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (152.0ms)

IterNodesCost
0141562
1488484
23117464
35003449

prune229.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.8b
(sqrt (fma (fma y 2.0 x) x (* y y)))
5.8b
(sqrt (fma (fma y 2.0 x) x (* y y)))
5.8b
(sqrt (fma (fma y 2.0 x) x (* y y)))
5.8b
(sqrt (fma (fma y 2.0 x) x (* y y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
1.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
1.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
1.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
1.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
72.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
66.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
73.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))

simplify142.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 7 (58.0ms)

IterNodesCost
047340
172324
2106324
3180324
4340324
5599324
61054324
72295320
85001320

prune250.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s14106×body80valid