Details

Time bar (total: 2.0s)

sample43.0ms

Algorithm
intervals
Results
27.0ms676×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0268
1518
2887
31537
43577
515727
650027

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a a) (* b b))
0.0b
(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log
3×expm1-log1p-u unpow-prod-down pow-unpow add-cbrt-cube log1p-expm1-u
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ pow-exp sum-log flip-+ fma-udef sqr-pow
Counts
3 → 43
Calls
3 calls:
3.0ms
(+ (* a a) (* b b))
0.0ms
(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series200.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* a a) (* b b))
73.0ms
(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify116.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0226319
1972282
23693275
35001274

prune141.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2 (pow a 2))
0.7b
(fma (* 2 (pow a 2)) (pow b 2) (pow a 4))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 add-log-exp sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 39
Calls
2 calls:
6.0ms
(* 2 (pow a 2))
0.0ms
(fma (* 2 (pow a 2)) (pow b 2) (pow a 4))

series77.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* 2 (pow a 2))
53.0ms
(fma (* 2 (pow a 2)) (pow b 2) (pow a 4))

simplify132.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0139196
1590173
23008173
35002167

prune109.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample1.1s

Algorithm
intervals
Results
742.0ms20274×body80valid