Details

Time bar (total: 3.7s)

sample46.0ms

Algorithm
intervals
Results
32.0ms471×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0185
1464
2774
3873
4873

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(fma (fma y 2.0 x) x (* y y))

simplify85.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04268
110452
246752
3241952
4500152

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y))))
7.3b
(cbrt (fma (fma y 2.0 x) x (* y y)))
7.3b
(cbrt (fma (fma y 2.0 x) x (* y y)))
7.3b
(cbrt (fma (fma y 2.0 x) x (* y y)))

rewrite9.0ms

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:
5.0ms
(* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y))))
0.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))
0.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))
1.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))

series542.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y))))
135.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))
130.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))
134.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))

simplify101.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0187781
1690715
23181654
35001645

prune236.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y))))
7.3b
(cbrt (fma (fma y 2.0 x) x (* y y)))
7.3b
(cbrt (fma (fma y 2.0 x) x (* y y)))
11.2b
(pow (fma (fma y 2.0 x) x (* y y)) 1/3)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 88
Calls
4 calls:
6.0ms
(* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y))))
0.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))
0.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))
1.0ms
(pow (fma (fma y 2.0 x) x (* y y)) 1/3)

series549.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y))))
135.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))
133.0ms
(cbrt (fma (fma y 2.0 x) x (* y y)))
142.0ms
(pow (fma (fma y 2.0 x) x (* y y)) 1/3)

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0238766
11029575
25001548

prune265.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (fma (fma y 2.0 x) x (* y y)) 2)
0.3b
(* (cbrt (pow (fma (fma y 2.0 x) x (* y y)) 2)) (pow (fma (fma y 2.0 x) x (* y y)) 1/3))
11.2b
(pow (fma (fma y 2.0 x) x (* y y)) 1/3)
30.7b
(cbrt (pow (fma (fma y 2.0 x) x (* y y)) 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×cbrt-prod
23×unpow-prod-down
15×add-cube-cbrt *-un-lft-identity unswap-sqr
13×sqr-pow
11×add-exp-log associate-*l*
7×associate-*r*
6×pow1 pow-unpow unpow2
5×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp prod-exp
2×pow-pow unpow1/3 pow1/3 cbrt-unprod
1×pow-prod-down *-commutative
Counts
4 → 107
Calls
4 calls:
1.0ms
(pow (fma (fma y 2.0 x) x (* y y)) 2)
10.0ms
(* (cbrt (pow (fma (fma y 2.0 x) x (* y y)) 2)) (pow (fma (fma y 2.0 x) x (* y y)) 1/3))
1.0ms
(pow (fma (fma y 2.0 x) x (* y y)) 1/3)
1.0ms
(cbrt (pow (fma (fma y 2.0 x) x (* y y)) 2))

series363.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(pow (fma (fma y 2.0 x) x (* y y)) 2)
31.0ms
(* (cbrt (pow (fma (fma y 2.0 x) x (* y y)) 2)) (pow (fma (fma y 2.0 x) x (* y y)) 1/3))
132.0ms
(pow (fma (fma y 2.0 x) x (* y y)) 1/3)
145.0ms
(cbrt (pow (fma (fma y 2.0 x) x (* y y)) 2))

simplify63.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
03981149
114771023
25001998

prune313.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes31.0ms

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

sample935.0ms

Algorithm
intervals
Results
716.0ms14310×body80valid