Details

Time bar (total: 3.2s)

sample17.0ms

Algorithm
intervals
Results
9.0ms292×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0134
1243
2283
3303
4303

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (fma x y z) (/ x 2.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ sum-log add-cbrt-cube flip-+ fma-udef log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
6.0ms
(+ (fma x y z) (/ x 2.0))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (fma x y z) (/ x 2.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09590
130779
2128779
3500179

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
0.5b
(cbrt (+ (fma x y z) (/ x 2.0)))
0.5b
(cbrt (+ (fma x y z) (/ x 2.0)))
0.5b
(cbrt (+ (fma x y z) (/ x 2.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
46.0ms
(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
6.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
7.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
6.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
128.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
120.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
124.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03971336
113841257
250011151

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
0.6b
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
0.6b
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
0.9b
(pow (cbrt (cbrt (+ (fma x y z) (/ x 2.0)))) 4)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
22×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×cbrt-div
10×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u distribute-lft-out add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 84
Calls
4 calls:
6.0ms
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
6.0ms
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
6.0ms
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
15.0ms
(pow (cbrt (cbrt (+ (fma x y z) (/ x 2.0)))) 4)

series530.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
122.0ms
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
121.0ms
(cbrt (cbrt (+ (fma x y z) (/ x 2.0))))
161.0ms
(pow (cbrt (cbrt (+ (fma x y z) (/ x 2.0)))) 4)

simplify145.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03821084
112361030
24997967
35001967

prune365.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fma x y z))
0.0b
(sqrt (fma x y z))
0.2b
(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×sqrt-prod
5×pow1 add-cube-cbrt *-un-lft-identity
3×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×fma-udef
Counts
3 → 40
Calls
3 calls:
1.0ms
(sqrt (fma x y z))
1.0ms
(sqrt (fma x y z))
0.0ms
(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

series334.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(sqrt (fma x y z))
72.0ms
(sqrt (fma x y z))
189.0ms
(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0168282
1503235
22023227
35002225

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes61.0ms

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
083
183

end0.0ms

sample402.0ms

Algorithm
intervals
Results
211.0ms9158×body80valid