Details

Time bar (total: 7.9s)

sample19.0ms

Algorithm
intervals
Results
10.0ms270×body80valid

simplify15.0ms

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: 5.6b

localize7.0ms

Local error

Found 2 expressions with local error:

3.6b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
4.8b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite38.0ms

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:
16.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series134.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
64.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011482808
146382733
250022733

prune795.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.7b
(/ (/ (/ (sqrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))) y)
16.4b
(sqrt (fma z z 1.0))
16.4b
(sqrt (fma z z 1.0))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
2556×times-frac
1178×add-sqr-sqrt
1176×add-cube-cbrt *-un-lft-identity
918×sqrt-prod
435×cbrt-prod
244×associate-/l*
29×div-inv
13×add-exp-log
12×add-cbrt-cube
6×pow1 cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 1041
Calls
4 calls:
1.0ms
(cbrt x)
69.0ms
(/ (/ (/ (sqrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))) y)
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series737.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
249.0ms
(/ (/ (/ (sqrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))) y)
248.0ms
(sqrt (fma z z 1.0))
64.0ms
(sqrt (fma z z 1.0))

simplify206.0ms

Algorithm
egg-herbie
Counts
1053 → 1053
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0302317509
1500117093

prune2.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt x) (cbrt x)))
16.4b
(sqrt (fma z z 1.0))
16.4b
(sqrt (fma z z 1.0))
16.4b
(sqrt (fma z z 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
7×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-prod pow1/3
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (* (cbrt x) (cbrt x)))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series423.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt (* (cbrt x) (cbrt x)))
53.0ms
(sqrt (fma z z 1.0))
50.0ms
(sqrt (fma z z 1.0))
53.0ms
(sqrt (fma z z 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0146289
1406271
21687269
35001263

prune418.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.4b

localize34.0ms

Local error

Found 4 expressions with local error:

16.4b
(sqrt (fma z z 1.0))
16.4b
(sqrt (fma z z 1.0))
16.9b
(cbrt (fma z z 1.0))
16.9b
(cbrt (fma z z 1.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))
0.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series470.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(sqrt (fma z z 1.0))
49.0ms
(sqrt (fma z z 1.0))
186.0ms
(cbrt (fma z z 1.0))
179.0ms
(cbrt (fma z z 1.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0200334
1637314
22750306
35001300

prune529.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.4b

regimes182.0ms

Accuracy

0% (0.8b remaining)

Error of 5.8b against oracle of 5.0b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample407.0ms

Algorithm
intervals
Results
235.0ms8611×body80valid