Details

Time bar (total: 5.8s)

sample17.0ms

Algorithm
intervals
Results
8.0ms273×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 2 expressions with local error:

2.7b
(/ (/ 1.0 x) (fma z z 1.0))
4.3b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))
18.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series127.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (/ 1.0 x) (fma z z 1.0))
70.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify111.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011482808
146382733
250032733

prune786.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

localize21.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
15.9b
(cbrt (fma z z 1.0))
15.9b
(cbrt (fma z z 1.0))
15.9b
(cbrt (fma z z 1.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×times-frac
15×add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/l*
9×cbrt-prod
6×sqrt-prod
5×prod-exp cbrt-unprod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 85
Calls
4 calls:
11.0ms
(/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
0.0ms
(cbrt (fma z z 1.0))
0.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series837.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
182.0ms
(cbrt (fma z z 1.0))
173.0ms
(cbrt (fma z z 1.0))
175.0ms
(cbrt (fma z z 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04891004
11779886
25001836

prune380.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
1.7b
(/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))))
15.4b
(sqrt (fma z z 1.0))
15.4b
(sqrt (fma z z 1.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
909×times-frac
440×add-sqr-sqrt
438×add-cube-cbrt *-un-lft-identity
325×cbrt-prod
198×sqrt-prod
100×associate-/r*
30×div-inv
9×add-exp-log
8×add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-div frac-2neg pow1/3 clear-num associate-/r/
Counts
4 → 474
Calls
4 calls:
1.0ms
(cbrt (/ 1.0 x))
23.0ms
(/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series589.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt (/ 1.0 x))
274.0ms
(/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))))
50.0ms
(sqrt (fma z z 1.0))
61.0ms
(sqrt (fma z z 1.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
486 → 486
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017326712
150016483

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 2 expressions with local error:

2.7b
(/ (/ 1 x) (fma z z 1.0))
4.3b
(/ (* 1.0 (/ (/ 1 x) (fma z z 1.0))) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×add-exp-log
21×add-cbrt-cube
18×div-exp
14×associate-/l*
10×cbrt-undiv
6×associate-/r* div-inv
5×prod-exp
3×cbrt-unprod
2×pow1 expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×associate-*r/
Counts
2 → 104
Calls
2 calls:
6.0ms
(/ (/ 1 x) (fma z z 1.0))
9.0ms
(/ (* 1.0 (/ (/ 1 x) (fma z z 1.0))) y)

series130.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ 1 x) (fma z z 1.0))
70.0ms
(/ (* 1.0 (/ (/ 1 x) (fma z z 1.0))) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0571853
12599744
25002702

prune189.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.1b

regimes165.0ms

Accuracy

0% (1.0b remaining)

Error of 5.8b against oracle of 4.8b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619

end0.0ms

sample427.0ms

Algorithm
intervals
Results
241.0ms8617×body80valid