Details

Time bar (total: 11.1s)

sample24.0ms

Algorithm
intervals
Results
14.0ms273×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize9.0ms

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)

rewrite40.0ms

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))
17.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series42.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (/ 1.0 x) (fma z z 1.0))
20.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify105.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
011482808
146382733
250032733

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

localize20.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (/ (* (cbrt 1.0) (cbrt 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))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
19×add-cbrt-cube
18×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×times-frac
5×associate-/l*
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 → 83
Calls
4 calls:
12.0ms
(/ (/ (* (cbrt 1.0) (cbrt 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))

series105.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
11.0ms
(cbrt (fma z z 1.0))
11.0ms
(cbrt (fma z z 1.0))
12.0ms
(cbrt (fma z z 1.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05271097
12459889
25001811

prune1.0s

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))

rewrite70.0ms

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:
2.0ms
(cbrt (/ 1.0 x))
28.0ms
(/ 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))

series75.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cbrt (/ 1.0 x))
54.0ms
(/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))))
5.0ms
(sqrt (fma z z 1.0))
5.0ms
(sqrt (fma z z 1.0))

simplify93.0ms

Algorithm
egg-herbie
Counts
486 → 486
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
017326712
150016483

prune4.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
79×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×add-exp-log cbrt-prod
27×add-cbrt-cube
23×associate-/l*
16×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
6×associate-/r* div-inv
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×associate-*r/
Counts
2 → 142
Calls
2 calls:
9.0ms
(/ (/ (cbrt 1.0) x) (fma z z 1.0))
21.0ms
(/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) x) (fma z z 1.0))) y)

series45.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ (cbrt 1.0) x) (fma z z 1.0))
26.0ms
(/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) x) (fma z z 1.0))) y)

simplify83.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07711584
134421443
250011427

prune1.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.1b

regimes472.0ms

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
01721

end0.0ms

sample621.0ms

Algorithm
intervals
Results
443.0ms8617×body80valid