Details

Time bar (total: 2.6s)

sample40.0ms

Algorithm
intervals
Results
24.0ms652×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0268
1518
2887
31537
43577
515727
650027

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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:
1.0ms
(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
4.0ms
(+ (* a a) (* b b))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series202.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
26.0ms
(+ (* a a) (* b b))
101.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify108.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0226319
1972282
23693275
35001274

prune147.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow a 2))
0.0b
(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
1.1b
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×add-exp-log associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down unswap-sqr
3×pow1 expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp
2×fma-udef unpow2 sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
3 → 49
Calls
3 calls:
5.0ms
(* 2.0 (pow a 2))
1.0ms
(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
1.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series170.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* 2.0 (pow a 2))
73.0ms
(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
72.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify123.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0172328
1661285
23351281
35001279

prune170.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×add-exp-log associate-*r*
7×add-cube-cbrt
5×add-cbrt-cube add-log-exp
4×unpow-prod-down unswap-sqr
3×pow1 expm1-log1p-u fma-def associate-*l* prod-exp log1p-expm1-u
2×fma-udef unpow2 sqr-pow
1×+-commutative pow-to-exp associate-+l+ flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
3 → 57
Calls
3 calls:
5.0ms
(+ (fma (* 2 (pow a 2)) (pow b 2) (pow a 4)) (pow b 4))
6.0ms
(* 2 (pow a 2))
1.0ms
(fma (* 2 (pow a 2)) (pow b 2) (pow a 4))

series129.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (fma (* 2 (pow a 2)) (pow b 2) (pow a 4)) (pow b 4))
29.0ms
(* 2 (pow a 2))
50.0ms
(fma (* 2 (pow a 2)) (pow b 2) (pow a 4))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0215372
1958344
25002344

prune171.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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

sample1.2s

Algorithm
intervals
Results
786.0ms20466×body80valid