Details

Time bar (total: 9.1s)

sample55.0ms

Algorithm
intervals
Results
38.0ms282×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize16.0ms

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)

rewrite37.0ms

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:
5.0ms
(/ (/ 1.0 x) (fma z z 1.0))
15.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series125.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (/ 1.0 x) (fma z z 1.0))
68.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify115.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
011482808
146382733
250032733

prune800.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

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))

rewrite29.0ms

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)))
8.0ms
(* y (* (sqrt (fma z z 1.0)) x))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series236.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
60.0ms
(* y (* (sqrt (fma z z 1.0)) x))
55.0ms
(sqrt (fma z z 1.0))
55.0ms
(sqrt (fma z z 1.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05671118
12247960
25001891

prune317.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.3b

localize10.0ms

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))

rewrite266.0ms

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:
179.0ms
(* (/ 1 (sqrt (fma z z 1.0))) (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y))
23.0ms
(/ (/ (/ 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))

series278.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (/ 1 (sqrt (fma z z 1.0))) (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y))
86.0ms
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y)
61.0ms
(sqrt (fma z z 1.0))
57.0ms
(sqrt (fma z z 1.0))

simplify145.0ms

Algorithm
egg-herbie
Counts
732 → 732
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
029619383
150029021

prune1.8s

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
(/ (/ (/ 1.0 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))

rewrite135.0ms

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
13×add-exp-log
10×add-cbrt-cube
7×pow1
6×cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg clear-num associate-/l/
Counts
4 → 917
Calls
4 calls:
44.0ms
(/ (/ (/ 1.0 x) (sqrt (sqrt (fma z z 1.0)))) (cbrt y))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))

series399.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(/ (/ (/ 1.0 x) (sqrt (sqrt (fma z z 1.0)))) (cbrt y))
49.0ms
(sqrt (fma z z 1.0))
55.0ms
(sqrt (fma z z 1.0))
61.0ms
(sqrt (fma z z 1.0))

simplify193.0ms

Algorithm
egg-herbie
Counts
929 → 929
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0270816177
1500115780

prune3.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.3b

regimes119.0ms

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

sample835.0ms

Algorithm
intervals
Results
654.0ms8635×body80valid