Details

Time bar (total: 9.4s)

sample57.0ms

Algorithm
intervals
Results
23.0ms279×body80valid
19.0ms286×body80nan

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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))

rewrite75.0ms

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:
58.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

series164.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
44.0ms
(* 3.0 (sqrt x))

simplify89.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07682009
130771504
250021453

prune351.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
819×times-frac
705×add-sqr-sqrt
694×*-un-lft-identity
523×add-cube-cbrt
431×prod-diff
239×sqrt-prod
88×difference-of-squares
86×distribute-lft-out--
47×div-inv
23×associate--l+
16×associate-/l*
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×cbrt-undiv fma-neg div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 600
Calls
3 calls:
92.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series129.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
64.0ms
(/ (/ y 3.0) (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify165.0ms

Algorithm
egg-herbie
Counts
609 → 609
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0232220584
1500216557

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
1599×add-sqr-sqrt
1593×times-frac
1007×*-un-lft-identity
836×add-cube-cbrt
703×prod-diff
317×sqrt-prod
254×difference-of-squares
131×associate--l+
86×distribute-lft-out--
74×div-inv
26×associate-/l*
13×add-exp-log add-cbrt-cube
9×associate-/r*
8×add-log-exp
7×fma-neg
6×cbrt-undiv div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip-- associate-/l/
1×associate--l-
Counts
3 → 923
Calls
3 calls:
239.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
10.0ms
(/ (/ y 3.0) (sqrt x))

series119.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
55.0ms
(/ (/ y 3.0) (sqrt x))

simplify297.0ms

Algorithm
egg-herbie
Counts
932 → 932
Iterations

Useful iterations: 1 (52.0ms)

IterNodesCost
0329332174
1500230187

prune2.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
1041×add-sqr-sqrt
781×*-un-lft-identity
610×add-cube-cbrt
531×prod-diff
278×sqrt-prod
171×difference-of-squares
86×distribute-lft-out--
53×div-inv
41×associate--l+
13×associate-/l*
7×add-exp-log add-cbrt-cube add-log-exp
6×fma-neg associate-/r*
3×cbrt-undiv diff-log div-exp
2×pow1 expm1-log1p-u sub-neg flip3-- frac-sub flip-- log1p-expm1-u
1×associate--l- frac-2neg clear-num associate-/l/
Counts
2 → 678
Calls
2 calls:
115.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))

series104.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
61.0ms
(/ (/ y 3.0) (sqrt x))

simplify201.0ms

Algorithm
egg-herbie
Counts
684 → 684
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0248424017
1500119286

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116

end0.0ms

sample1.6s

Algorithm
intervals
Results
720.0ms8520×body80valid
587.0ms8628×body80nan