Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms333×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0102
1142
2162
3172
4172

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ y (fma x x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ sum-log add-cbrt-cube flip-+ fma-udef log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
6.0ms
(+ y (fma x x y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ y (fma x x y))

simplify34.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
08068
123259
294959
3500158

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma y 2 (pow x 2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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 y 2 (pow x 2))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma y 2 (pow x 2))

simplify44.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02443
16338
220938
382638
4500238

prune30.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (pow x 2) (fma x x y) (* y y))
0.1b
(pow (fma x x y) 3)
1.0b
(+ (pow y 3) (pow (fma x x y) 3))
40.2b
(/ (+ (pow y 3) (pow (fma x x y) 3)) (fma (pow x 2) (fma x x y) (* y y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
27×times-frac
26×unpow-prod-down cube-prod
25×distribute-lft-out
24×add-sqr-sqrt add-cube-cbrt
12×fma-def
associate-/l*
add-exp-log add-cbrt-cube
add-log-exp
pow1 sum-cubes
expm1-log1p-u log1p-expm1-u
pow-unpow associate-/r*
cube-mult flip3-+ unpow3 flip-+ associate-/l/ sqr-pow
cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg div-exp pow-exp clear-num sum-log fma-udef div-inv rem-cube-cbrt
Counts
4 → 121
Calls
4 calls:
0.0ms
(fma (pow x 2) (fma x x y) (* y y))
2.0ms
(pow (fma x x y) 3)
21.0ms
(+ (pow y 3) (pow (fma x x y) 3))
62.0ms
(/ (+ (pow y 3) (pow (fma x x y) 3)) (fma (pow x 2) (fma x x y) (* y y)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma (pow x 2) (fma x x y) (* y y))
52.0ms
(pow (fma x x y) 3)
86.0ms
(+ (pow y 3) (pow (fma x x y) 3))
137.0ms
(/ (+ (pow y 3) (pow (fma x x y) 3)) (fma (pow x 2) (fma x x y) (* y y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
03301144
115681060
250011012

prune331.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

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
0102
1122
2122

end0.0ms

sample426.0ms

Algorithm
intervals
Results
186.0ms10607×body80valid