Details

Time bar (total: 8.6s)

sample19.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize8.0ms

Local error

Found 2 expressions with local error:

4.1b
(/ (/ 1.0 x) (fma z z 1.0))
4.3b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

rewrite57.0ms

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:
11.0ms
(/ (/ 1.0 x) (fma z z 1.0))
29.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series134.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (/ 1.0 x) (fma z z 1.0))
74.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify133.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
011482808
146382733
250032733

prune915.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
3.4b
(* y (* (sqrt (fma z z 1.0)) x))
17.8b
(sqrt (fma z z 1.0))
17.8b
(sqrt (fma z z 1.0))

rewrite63.0ms

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:
30.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
25.0ms
(* y (* (sqrt (fma z z 1.0)) x))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series255.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
67.0ms
(* y (* (sqrt (fma z z 1.0)) x))
59.0ms
(sqrt (fma z z 1.0))
57.0ms
(sqrt (fma z z 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05671118
12247960
25001891

prune391.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.7b

localize16.0ms

Local error

Found 4 expressions with local error:

3.2b
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
18.3b
(cbrt (fma z z 1.0))
18.3b
(cbrt (fma z z 1.0))
18.3b
(cbrt (fma z z 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
9×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv expm1-log1p-u cbrt-div div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 associate-/l/
1×frac-times frac-2neg times-frac associate-*r/ associate-*l/ clear-num associate-/r* div-inv associate-/l*
Counts
4 → 65
Calls
4 calls:
20.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series900.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
193.0ms
(cbrt (fma z z 1.0))
200.0ms
(cbrt (fma z z 1.0))
189.0ms
(cbrt (fma z z 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0377707
11383595
25001549

prune343.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.7b

localize25.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
2.3b
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
17.8b
(sqrt (fma z z 1.0))
17.8b
(sqrt (fma z z 1.0))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
1672×times-frac
849×cbrt-prod
783×add-sqr-sqrt
781×add-cube-cbrt *-un-lft-identity
348×sqrt-prod
110×associate-/l*
53×div-inv
30×add-exp-log
17×add-cbrt-cube
13×cbrt-undiv div-exp
7×associate-/r*
6×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 799
Calls
4 calls:
49.0ms
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
24.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series765.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
379.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
51.0ms
(sqrt (fma z z 1.0))
64.0ms
(sqrt (fma z z 1.0))

simplify186.0ms

Algorithm
egg-herbie
Counts
811 → 811
Iterations

Useful iterations: 1 (52.0ms)

IterNodesCost
0261214080
1500113738

prune3.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.7b

regimes172.0ms

Accuracy

0% (1.2b remaining)

Error of 6.0b against oracle of 4.8b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

sample477.0ms

Algorithm
intervals
Results
238.0ms8630×body80valid