Details

Time bar (total: 5.2s)

sample48.0ms

Algorithm
intervals
Results
31.0ms619×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05314
117313
253212
3168112
4427812
5500112

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.8b
(* (* b b) (+ 3.0 a))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×*-un-lft-identity add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ fma-udef
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in flip3-+ associate-*l* pow-exp *-commutative flip-+ distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
1.0ms
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series276.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
46.0ms
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)
32.0ms
(* (* b b) (+ 3.0 a))

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0335551
11554479
25001471

prune255.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (fma (* b 3.0) b (* (* a a) (- 1.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b
(* (* a a) (- 1.0 a))
0.2b
(fma (* b 3.0) b (* (* a a) (- 1.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×pow1 add-exp-log
9×add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/ fma-udef
1×pow-to-exp flip3-- pow-pow associate-*l* pow-exp *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 86
Calls
4 calls:
1.0ms
(fma 4.0 (fma (* b 3.0) b (* (* a a) (- 1.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
9.0ms
(* (* a a) (- 1.0 a))
1.0ms
(fma (* b 3.0) b (* (* a a) (- 1.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series284.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(fma 4.0 (fma (* b 3.0) b (* (* a a) (- 1.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
53.0ms
(* (* a a) (- 1.0 a))
46.0ms
(fma (* b 3.0) b (* (* a a) (- 1.0 a)))
99.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify56.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0442827
12120631
25003624

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
46×add-sqr-sqrt
29×unpow-prod-down
22×add-cube-cbrt *-un-lft-identity
16×unswap-sqr
15×sqr-pow
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×expm1-log1p-u 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
Counts
4 → 117
Calls
4 calls:
15.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series612.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
164.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
02171556
17021473
233081390
350011383

prune475.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series594.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
143.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
0106680
1233632
2782624
33284616
45002616

prune388.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911
11911

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s20568×body80valid