Details

Time bar (total: 9.9s)

sample24.0ms

Algorithm
intervals
Results
14.0ms280×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

localize6.0ms

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))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ (fma x y z) (/ x 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09590
130779
2128779
3500179

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite69.0ms

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)))
8.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
6.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))

series577.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (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)))
123.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
127.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03971336
113841257
250011151

prune325.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

23.5b
(/ (* (cbrt (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3))) (cbrt (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))))) (* (cbrt (+ (* (fma x y z) (fma x y z)) (- (* (/ x 2.0) (/ x 2.0)) (* (fma x y z) (/ x 2.0))))) (cbrt (- (fma x y z) (/ x 2.0)))))
32.2b
(cbrt (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))))
32.3b
(cbrt (+ (* (fma x y z) (fma x y z)) (- (* (/ x 2.0) (/ x 2.0)) (* (fma x y z) (/ x 2.0)))))
38.7b
(cbrt (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
17×*-un-lft-identity
16×add-exp-log cbrt-prod
8×frac-times flip3-+ associate-/r/ add-cbrt-cube flip-+ associate-/l/
7×add-sqr-sqrt add-cube-cbrt flip3-- flip--
5×distribute-lft-out
4×pow1 cbrt-undiv expm1-log1p-u unpow-prod-down cube-prod associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv associate-/l* difference-of-squares
Counts
4 → 91
Calls
4 calls:
59.0ms
(/ (* (cbrt (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3))) (cbrt (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))))) (* (cbrt (+ (* (fma x y z) (fma x y z)) (- (* (/ x 2.0) (/ x 2.0)) (* (fma x y z) (/ x 2.0))))) (cbrt (- (fma x y z) (/ x 2.0)))))
2.0ms
(cbrt (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))))
14.0ms
(cbrt (+ (* (fma x y z) (fma x y z)) (- (* (/ x 2.0) (/ x 2.0)) (* (fma x y z) (/ x 2.0)))))
26.0ms
(cbrt (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3)))

series7.2s

Counts
4 → 12
Calls
4 calls:
6.5s
(/ (* (cbrt (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3))) (cbrt (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))))) (* (cbrt (+ (* (fma x y z) (fma x y z)) (- (* (/ x 2.0) (/ x 2.0)) (* (fma x y z) (/ x 2.0))))) (cbrt (- (fma x y z) (/ x 2.0)))))
250.0ms
(cbrt (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))))
218.0ms
(cbrt (+ (* (fma x y z) (fma x y z)) (- (* (/ x 2.0) (/ x 2.0)) (* (fma x y z) (/ x 2.0)))))
157.0ms
(cbrt (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3)))

simplify98.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07412603
128472284
250022254

prune594.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample610.0ms

Algorithm
intervals
Results
405.0ms9214×body80valid
0.0ms1×body640valid
0.0ms1×body160valid