Details

Time bar (total: 5.5s)

sample32.0ms

Algorithm
intervals
Results
9.0ms280×body80valid
7.0ms258×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
90.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series160.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
58.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))
39.0ms
(* 3.0 (sqrt x))

simplify58.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0516590
12039534
25001532

prune219.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
101×add-sqr-sqrt
90×*-un-lft-identity
83×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
9×div-inv
7×associate-/r*
6×difference-of-squares
5×cbrt-undiv div-exp
4×pow1 diff-log distribute-lft-out--
3×sub-neg flip3-- flip--
2×frac-2neg associate--l+ clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 172
Calls
4 calls:
10.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
116.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ 1.0 (* x 9.0))
12.0ms
(/ (/ y 3.0) (sqrt x))

series165.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
53.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))
62.0ms
(/ (/ y 3.0) (sqrt x))

simplify75.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07711529
129431446
250011446

prune410.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
148×add-sqr-sqrt
130×*-un-lft-identity
123×add-cube-cbrt
44×sqrt-prod
26×associate-/l*
14×add-exp-log add-cbrt-cube
13×div-inv
11×add-log-exp
9×associate-/r*
8×difference-of-squares
6×cbrt-undiv div-exp
4×pow1 diff-log distribute-lft-out--
3×sub-neg flip3-- flip--
2×frac-2neg associate--l+ clear-num frac-sub associate-/l/
1×associate--l-
Counts
4 → 223
Calls
4 calls:
22.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
232.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)
12.0ms
(/ (/ y 3.0) (sqrt x))

series160.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
44.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
62.0ms
(/ (/ y 3.0) (sqrt x))

simplify87.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010001921
138151832
250011832

prune534.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
228×times-frac
145×*-un-lft-identity
139×add-sqr-sqrt
123×add-cube-cbrt
44×sqrt-prod
26×associate-/l*
16×add-log-exp
14×add-exp-log add-cbrt-cube
13×div-inv
9×associate-/r*
6×cbrt-undiv div-exp distribute-lft-out--
5×difference-of-squares
4×pow1 distribute-rgt-neg-in diff-log
3×sum-log distribute-lft-out
2×sub-neg associate-+r+ frac-2neg neg-log clear-num associate-/l/
1×+-commutative associate--l- neg-sub0 associate-+r- flip3-- flip3-+ frac-sub flip-- flip-+ distribute-neg-frac
Counts
4 → 225
Calls
4 calls:
871.0ms
(+ 1.0 (- (- (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x))))
335.0ms
(- (- (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)
13.0ms
(/ (/ y 3.0) (sqrt x))

series192.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ 1.0 (- (- (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x))))
57.0ms
(- (- (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
24.0ms
(/ (/ 1.0 x) 9.0)
58.0ms
(/ (/ y 3.0) (sqrt x))

simplify92.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
010241984
139281881
250011880

prune568.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes52.0ms

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

sample866.0ms

Algorithm
intervals
Results
267.0ms8533×body80valid
234.0ms8462×body80nan