Details

Time bar (total: 4.9s)

sample67.0ms

Algorithm
intervals
Results
43.0ms444×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0276
1624
21214
31584
41644
51644

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma i c (fma b a (fma x y (* z t))))
0.0b
(fma b a (fma x y (* z t)))

rewrite1.0ms

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:
0.0ms
(fma i c (fma b a (fma x y (* z t))))
0.0ms
(fma b a (fma x y (* z t)))

series292.0ms

Counts
2 → 6
Calls
2 calls:
228.0ms
(fma i c (fma b a (fma x y (* z t))))
64.0ms
(fma b a (fma x y (* z t)))

simplify82.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
051122
1107106
2490106
33707106
45001106

prune98.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma t z (fma a b (* x y)))
0.0b
(fma a b (* x y))
0.0b
(fma i c (fma t z (fma a b (* x y))))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×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
3 → 30
Calls
3 calls:
0.0ms
(fma t z (fma a b (* x y)))
0.0ms
(fma a b (* x y))
0.0ms
(fma i c (fma t z (fma a b (* x y))))

series346.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(fma t z (fma a b (* x y)))
56.0ms
(fma a b (* x y))
222.0ms
(fma i c (fma t z (fma a b (* x y))))

simplify27.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
059163
1165142
2843142
35002142

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma b a (fma x y (* z t)))) (cbrt (fma b a (fma x y (* z t)))))
0.5b
(cbrt (fma b a (fma x y (* z t))))
0.5b
(cbrt (fma b a (fma x y (* z t))))
0.5b
(cbrt (fma b a (fma x y (* z t))))

rewrite9.0ms

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:
5.0ms
(* (cbrt (fma b a (fma x y (* z t)))) (cbrt (fma b a (fma x y (* z t)))))
0.0ms
(cbrt (fma b a (fma x y (* z t))))
0.0ms
(cbrt (fma b a (fma x y (* z t))))
1.0ms
(cbrt (fma b a (fma x y (* z t))))

series580.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (cbrt (fma b a (fma x y (* z t)))) (cbrt (fma b a (fma x y (* z t)))))
118.0ms
(cbrt (fma b a (fma x y (* z t))))
120.0ms
(cbrt (fma b a (fma x y (* z t))))
122.0ms
(cbrt (fma b a (fma x y (* z t))))

simplify80.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0236812
1800745
23224654
35002642

prune369.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a b (* x y))
0.2b
(* (sqrt (fma a b (* x y))) (sqrt (fma a b (* x y))))
1.0b
(sqrt (fma a b (* x y)))
1.0b
(sqrt (fma a b (* x y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma a b (* x y))
6.0ms
(* (sqrt (fma a b (* x y))) (sqrt (fma a b (* x y))))
1.0ms
(sqrt (fma a b (* x y)))
1.0ms
(sqrt (fma a b (* x y)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma a b (* x y))
40.0ms
(* (sqrt (fma a b (* x y))) (sqrt (fma a b (* x y))))
70.0ms
(sqrt (fma a b (* x y)))
74.0ms
(sqrt (fma a b (* x y)))

simplify144.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0155462
1600406
23481388
35001377

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes255.0ms

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
0134
1134

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s13753×body80valid