Details

Time bar (total: 8.0s)

sample17.0ms

Algorithm
intervals
Results
8.0ms282×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: 5.5b

localize7.0ms

Local error

Found 2 expressions with local error:

4.0b
(/ (/ 1.0 x) (fma z z 1.0))
4.2b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

rewrite43.0ms

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))
15.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series126.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (/ 1.0 x) (fma z z 1.0))
64.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify109.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011482808
146382733
250032733

prune779.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.4b

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)))
3.6b
(* y (* (sqrt (fma z z 1.0)) x))
20.1b
(sqrt (fma z z 1.0))
20.1b
(sqrt (fma z z 1.0))

rewrite32.0ms

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:
14.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
12.0ms
(* y (* (sqrt (fma z z 1.0)) x))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series244.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
70.0ms
(* y (* (sqrt (fma z z 1.0)) x))
55.0ms
(sqrt (fma z z 1.0))
50.0ms
(sqrt (fma z z 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05671118
12247960
25001891

prune339.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ 1 (sqrt (fma z z 1.0))) (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y))
3.3b
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y)
20.1b
(sqrt (fma z z 1.0))
20.1b
(sqrt (fma z z 1.0))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
1513×times-frac
797×add-sqr-sqrt
680×*-un-lft-identity
668×add-cube-cbrt
310×sqrt-prod
250×associate-*r*
82×associate-/l*
73×add-exp-log
52×div-inv
45×add-cbrt-cube
38×div-exp
30×unswap-sqr
22×cbrt-undiv associate-*l*
16×prod-exp
8×pow1 cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 720
Calls
4 calls:
150.0ms
(* (/ 1 (sqrt (fma z z 1.0))) (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y))
28.0ms
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y)
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series266.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (/ 1 (sqrt (fma z z 1.0))) (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y))
88.0ms
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y)
58.0ms
(sqrt (fma z z 1.0))
51.0ms
(sqrt (fma z z 1.0))

simplify139.0ms

Algorithm
egg-herbie
Counts
732 → 732
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
029619383
150029021

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.3b

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b
(/ (/ (/ 1 x) (sqrt (sqrt (fma z z 1.0)))) (cbrt y))
20.1b
(sqrt (fma z z 1.0))
20.1b
(sqrt (fma z z 1.0))
20.1b
(sqrt (fma z z 1.0))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
2112×times-frac
975×add-sqr-sqrt
972×add-cube-cbrt *-un-lft-identity
828×sqrt-prod
366×cbrt-prod
121×associate-/l*
71×div-inv
19×add-exp-log
11×div-exp
10×add-cbrt-cube
7×pow1
6×cbrt-undiv associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×rec-exp frac-2neg 1-exp clear-num associate-/l/
Counts
4 → 919
Calls
4 calls:
41.0ms
(/ (/ (/ 1 x) (sqrt (sqrt (fma z z 1.0)))) (cbrt y))
4.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series385.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(/ (/ (/ 1 x) (sqrt (sqrt (fma z z 1.0)))) (cbrt y))
58.0ms
(sqrt (fma z z 1.0))
59.0ms
(sqrt (fma z z 1.0))
51.0ms
(sqrt (fma z z 1.0))

simplify185.0ms

Algorithm
egg-herbie
Counts
931 → 931
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0251416184
1500115414

prune2.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.3b

regimes117.0ms

Accuracy

0% (1.0b remaining)

Error of 6.2b against oracle of 5.2b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample430.0ms

Algorithm
intervals
Results
253.0ms8635×body80valid