Details

Time bar (total: 8.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms285×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize6.0ms

Local error

Found 2 expressions with local error:

3.1b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
5.2b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite44.0ms

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))

series123.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
56.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
011482808
146382733
250022733

prune792.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.2b
(/ (/ (/ (sqrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))) y)
15.9b
(sqrt (fma z z 1.0))
15.9b
(sqrt (fma z z 1.0))

rewrite200.0ms

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)
70.0ms
(/ (/ (/ (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))

series717.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt x)
251.0ms
(/ (/ (/ (sqrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))) y)
53.0ms
(sqrt (fma z z 1.0))
243.0ms
(sqrt (fma z z 1.0))

simplify212.0ms

Algorithm
egg-herbie
Counts
1053 → 1053
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
0302317509
1500117093

prune3.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
1.2b
(/ (/ (/ (sqrt 1.0) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) (sqrt (fma z z 1.0))) y)
15.9b
(sqrt (fma z z 1.0))
15.9b
(sqrt (fma z z 1.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
576×times-frac
231×add-sqr-sqrt
229×add-cube-cbrt *-un-lft-identity
198×sqrt-prod
64×associate-/l*
29×div-inv
24×add-exp-log
20×add-cbrt-cube
12×cbrt-undiv div-exp
9×cbrt-prod
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp associate-/r* cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 328
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
40.0ms
(/ (/ (/ (sqrt 1.0) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (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))

series617.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt (cbrt x))
266.0ms
(/ (/ (/ (sqrt 1.0) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))) (sqrt (fma z z 1.0))) y)
56.0ms
(sqrt (fma z z 1.0))
50.0ms
(sqrt (fma z z 1.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
340 → 340
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
013186568
150016191

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
2.4b
(* y (* (sqrt (fma z z 1.0)) x))
15.9b
(sqrt (fma z z 1.0))
15.9b
(sqrt (fma z z 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
35×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
24×sqrt-prod
22×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 120
Calls
4 calls:
15.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
9.0ms
(* y (* (sqrt (fma z z 1.0)) x))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series242.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
62.0ms
(* y (* (sqrt (fma z z 1.0)) x))
56.0ms
(sqrt (fma z z 1.0))
56.0ms
(sqrt (fma z z 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05671118
12247960
25001891

prune322.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.1b

regimes134.0ms

Accuracy

0% (0.9b remaining)

Error of 5.7b against oracle of 4.8b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample402.0ms

Algorithm
intervals
Results
233.0ms8677×body80valid