Details

Time bar (total: 11.0s)

sample45.0ms

Algorithm
intervals
Results
14.0ms426×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0276
1624
21214
31584
41644
51644

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))

series267.0ms

Counts
2 → 6
Calls
2 calls:
209.0ms
(fma i c (fma b a (fma x y (* z t))))
57.0ms
(fma b a (fma x y (* z t)))

simplify81.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
051122
1107106
2490106
33707106
45001106

prune99.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

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

series245.0ms

Counts
2 → 6
Calls
2 calls:
208.0ms
(fma i c (fma t z (fma a b (* x y))))
37.0ms
(fma a b (* x y))

simplify79.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
049108
111594
248194
3343594
4500194

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma i c (fma t z (cbrt (pow (fma a b (* x y)) 3))))
0.0b
(fma a b (* x y))
0.3b
(pow (fma a b (* x y)) 3)
36.7b
(cbrt (pow (fma a b (* x y)) 3))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 fma-udef sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma i c (fma t z (cbrt (pow (fma a b (* x y)) 3))))
0.0ms
(fma a b (* x y))
3.0ms
(pow (fma a b (* x y)) 3)
2.0ms
(cbrt (pow (fma a b (* x y)) 3))

series406.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(fma i c (fma t z (cbrt (pow (fma a b (* x y)) 3))))
37.0ms
(fma a b (* x y))
116.0ms
(pow (fma a b (* x y)) 3)
37.0ms
(cbrt (pow (fma a b (* x y)) 3))

simplify34.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0197381
1796353
25001347

prune245.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a b (* x y))
0.1b
(sqrt (fma i c (fma t z (fma a b (* x y)))))
0.1b
(sqrt (fma i c (fma t z (fma a b (* x y)))))
0.2b
(* (sqrt (fma i c (fma t z (fma a b (* x y))))) (sqrt (fma i c (fma t z (fma a b (* x y))))))

rewrite20.0ms

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))
2.0ms
(sqrt (fma i c (fma t z (fma a b (* x y)))))
2.0ms
(sqrt (fma i c (fma t z (fma a b (* x y)))))
14.0ms
(* (sqrt (fma i c (fma t z (fma a b (* x y))))) (sqrt (fma i c (fma t z (fma a b (* x y))))))

series7.3s

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma a b (* x y))
3.6s
(sqrt (fma i c (fma t z (fma a b (* x y)))))
3.5s
(sqrt (fma i c (fma t z (fma a b (* x y)))))
221.0ms
(* (sqrt (fma i c (fma t z (fma a b (* x y))))) (sqrt (fma i c (fma t z (fma a b (* x y))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0232755
1976670
25001634

prune304.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes253.0ms

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

sample1.3s

Algorithm
intervals
Results
477.0ms13647×body80valid