Details

Time bar (total: 8.6s)

sample34.0ms

Algorithm
intervals
Results
9.0ms258×body80nan
8.0ms280×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
63×*-un-lft-identity
56×prod-diff
42×add-cube-cbrt
30×times-frac
23×associate--l+
16×add-exp-log add-cbrt-cube
11×distribute-lft-out--
10×div-inv
9×add-log-exp difference-of-squares
6×pow1 associate-*r* associate-/l*
5×fma-neg
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×diff-log associate-*l* prod-exp cbrt-unprod
2×sub-neg flip3-- frac-2neg clear-num associate-/r* frac-sub flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
117.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
7.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series147.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
55.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))
38.0ms
(* 3.0 (sqrt x))

simplify87.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07682009
130771504
250021453

prune406.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
828×times-frac
722×add-sqr-sqrt
711×*-un-lft-identity
538×add-cube-cbrt
452×prod-diff
239×sqrt-prod
89×difference-of-squares
87×distribute-lft-out--
50×div-inv
23×associate--l+
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×fma-neg
7×associate-/r*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 640
Calls
4 calls:
15.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
157.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ 1.0 (* x 9.0))
17.0ms
(/ (/ y 3.0) (sqrt x))

series145.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
48.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))
53.0ms
(/ (/ y 3.0) (sqrt x))

simplify186.0ms

Algorithm
egg-herbie
Counts
652 → 652
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0239021085
1500116927

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ (/ 1.0 x) 9.0))
0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite474.0ms

Algorithm
rewrite-expression-head
Rules
1794×times-frac
1758×add-sqr-sqrt
1159×*-un-lft-identity
986×add-cube-cbrt
832×prod-diff
317×sqrt-prod
257×difference-of-squares
131×associate--l+
87×distribute-lft-out--
86×div-inv
26×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×fma-neg
9×associate-/r*
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub associate-/l/
1×associate--l-
Counts
4 → 1073
Calls
4 calls:
29.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
304.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)
13.0ms
(/ (/ y 3.0) (sqrt x))

series152.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
41.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
15.0ms
(/ (/ 1.0 x) 9.0)
61.0ms
(/ (/ y 3.0) (sqrt x))

simplify323.0ms

Algorithm
egg-herbie
Counts
1085 → 1085
Iterations

Useful iterations: 1 (55.0ms)

IterNodesCost
0368236625
1500134297

prune3.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
83×*-un-lft-identity
81×prod-diff
62×add-cube-cbrt
56×times-frac
41×associate--l+
17×difference-of-squares
11×distribute-lft-out--
10×add-exp-log add-cbrt-cube div-inv
8×add-log-exp
6×fma-neg associate-*r*
5×pow1
4×sqrt-prod
3×expm1-log1p-u diff-log associate-*l* log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 157
Calls
3 calls:
110.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
11.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))

series135.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
57.0ms
(/ y (* 3.0 (sqrt x)))
36.0ms
(* 3.0 (sqrt x))

simplify105.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08092384
131601682
250021591

prune381.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample860.0ms

Algorithm
intervals
Results
257.0ms8533×body80valid
229.0ms8462×body80nan