Details

Time bar (total: 5.3s)

sample38.0ms

Algorithm
intervals
Results
17.0ms400×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (11.0ms)

IterNodesCost
0337
1737
21537
32907
45466
58926
612806
717816
821656
924296
1024296

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (fma (- (/ a 4.0)) b c))
0.0b
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×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
2 → 20
Calls
2 calls:
1.0ms
(fma y x (fma (- (/ a 4.0)) b c))
1.0ms
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

series214.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(fma y x (fma (- (/ a 4.0)) b c))
141.0ms
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

simplify78.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
076172
1185146
2562146
33117146
45002146

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma y x (fma (- (/ a 4.0)) b c))) (cbrt (fma y x (fma (- (/ a 4.0)) b c))))
0.5b
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
0.5b
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
0.5b
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))

rewrite12.0ms

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:
6.0ms
(* (cbrt (fma y x (fma (- (/ a 4.0)) b c))) (cbrt (fma y x (fma (- (/ a 4.0)) b c))))
1.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (fma y x (fma (- (/ a 4.0)) b c))) (cbrt (fma y x (fma (- (/ a 4.0)) b c))))
144.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
146.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
150.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))

simplify147.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0247973
1917888
24463789
35001786

prune372.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
0.5b
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
0.5b
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
0.5b
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
1.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
143.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
146.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))
151.0ms
(cbrt (fma y x (fma (- (/ a 4.0)) b c)))

simplify130.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0124548
1311500
21038464
34171456
45001456

prune357.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))) (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))))
0.5b
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
0.5b
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
0.5b
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))

rewrite11.0ms

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:
6.0ms
(* (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))) (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))))
1.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
1.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
1.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))) (cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))))
150.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
149.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))
148.0ms
(cbrt (fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c))))

simplify107.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
02181232
17791124
234271026
350011005

prune356.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes216.0ms

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
0176
1176

end0.0ms

sample1.0s

Algorithm
intervals
Results
538.0ms12085×body80valid