Details

Time bar (total: 6.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms278×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: 4.9b

localize7.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
4.2b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite55.0ms

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:
27.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
11.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series138.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
67.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011482808
146382733
250022733

prune754.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
2.2b
(* y (* (sqrt (fma z z 1.0)) x))
17.0b
(sqrt (fma z z 1.0))
17.0b
(sqrt (fma z z 1.0))

rewrite59.0ms

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:
32.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
20.0ms
(* y (* (sqrt (fma z z 1.0)) x))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series241.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
69.0ms
(* y (* (sqrt (fma z z 1.0)) x))
47.0ms
(sqrt (fma z z 1.0))
53.0ms
(sqrt (fma z z 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05671118
12247960
25001891

prune344.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
1.0b
(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
17.0b
(sqrt (fma z z 1.0))
17.0b
(sqrt (fma z z 1.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
448×times-frac
207×add-sqr-sqrt
205×add-cube-cbrt *-un-lft-identity
96×sqrt-prod
92×associate-/l*
30×add-exp-log add-cbrt-cube
15×cbrt-undiv div-exp
14×div-inv
6×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 304
Calls
4 calls:
15.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
38.0ms
(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series341.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
64.0ms
(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
54.0ms
(sqrt (fma z z 1.0))
58.0ms
(sqrt (fma z z 1.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
011153443
146633199
250023178

prune846.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.8b

localize15.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (fma z z 1.0)) (sqrt (sqrt (fma z z 1.0))))) (/ (/ (/ (cbrt 1.0) (sqrt (sqrt (fma z z 1.0)))) y) x))
17.0b
(sqrt (fma z z 1.0))
17.0b
(sqrt (fma z z 1.0))
17.0b
(sqrt (fma z z 1.0))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
1564×times-frac
739×add-sqr-sqrt
697×add-cube-cbrt *-un-lft-identity
538×associate-*r*
501×sqrt-prod
246×cbrt-prod
106×add-exp-log
85×add-cbrt-cube
46×cbrt-undiv div-exp
36×prod-exp cbrt-unprod
14×div-inv
9×pow1 unswap-sqr
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 651
Calls
4 calls:
285.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (fma z z 1.0)) (sqrt (sqrt (fma z z 1.0))))) (/ (/ (/ (cbrt 1.0) (sqrt (sqrt (fma z z 1.0)))) y) x))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series298.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (fma z z 1.0)) (sqrt (sqrt (fma z z 1.0))))) (/ (/ (/ (cbrt 1.0) (sqrt (sqrt (fma z z 1.0)))) y) x))
48.0ms
(sqrt (fma z z 1.0))
53.0ms
(sqrt (fma z z 1.0))
58.0ms
(sqrt (fma z z 1.0))

simplify175.0ms

Algorithm
egg-herbie
Counts
663 → 663
Iterations

Useful iterations: 1 (71.0ms)

IterNodesCost
0454214126
1500213529

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.8b

regimes125.0ms

Accuracy

0% (1.1b remaining)

Error of 6.0b against oracle of 4.9b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

sample670.0ms

Algorithm
intervals
Results
428.0ms8631×body80valid