Details

Time bar (total: 3.9s)

sample32.0ms

Algorithm
intervals
Results
9.0ms314×body80nan
9.0ms273×body80valid

simplify21.0ms

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)))
0.4b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite59.0ms

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:
45.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series170.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
63.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0516590
12039534
25001532

prune255.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))
0.4b
(/ 1.0 (* x 9.0))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×*-un-lft-identity
82×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
13×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
7×associate-/r*
5×cbrt-undiv div-exp difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
71.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series122.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
56.0ms
(/ (/ y 3.0) (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07601441
129241358
250011358

prune433.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
138×add-sqr-sqrt
127×*-un-lft-identity
122×add-cube-cbrt
44×sqrt-prod
26×associate-/l*
13×add-exp-log add-cbrt-cube div-inv
9×associate-/r*
8×add-log-exp
6×cbrt-undiv div-exp
5×difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip-- associate-/l/
1×associate--l-
Counts
3 → 207
Calls
3 calls:
184.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
7.0ms
(/ (/ y 3.0) (sqrt x))

series126.0ms

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)
62.0ms
(/ (/ y 3.0) (sqrt x))

simplify84.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09791807
137641718
250021718

prune580.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
101×add-sqr-sqrt
87×*-un-lft-identity
80×add-cube-cbrt
44×sqrt-prod
13×associate-/l*
10×add-log-exp
8×add-exp-log add-cbrt-cube div-inv
7×difference-of-squares
6×associate-/r*
4×diff-log distribute-lft-out--
3×pow1 cbrt-undiv sub-neg flip3-- div-exp flip--
2×associate--l+ frac-sub
1×associate--l- frac-2neg clear-num associate-/l/
Counts
3 → 152
Calls
3 calls:
6.0ms
(- 1.0 (/ 0.1111111111111111 x))
83.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))

series138.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- 1.0 (/ 0.1111111111111111 x))
49.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
57.0ms
(/ (/ y 3.0) (sqrt x))

simplify64.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06981400
125161324
250011324

prune394.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes57.0ms

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

sample804.0ms

Algorithm
intervals
Results
278.0ms8527×body80valid
254.0ms8694×body80nan