Details

Time bar (total: 3.6s)

sample30.0ms

Algorithm
intervals
Results
9.0ms272×body80valid
8.0ms261×body80nan

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

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
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite30.0ms

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:
10.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
7.0ms
(/ 1.0 (* x 9.0))

series161.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms
(/ y (* 3.0 (sqrt x)))
38.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0516590
12039534
25001532

prune238.0ms

Pruning

11 alts after pruning (11 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))
0.5b
(/ 1.0 (* x 9.0))

rewrite51.0ms

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:
33.0ms
(- (- 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))

series118.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
59.0ms
(/ (/ y 3.0) (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07601441
129241358
250011358

prune402.0ms

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

rewrite70.0ms

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:
47.0ms
(- (- 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:
49.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
61.0ms
(/ (/ y 3.0) (sqrt x))

simplify88.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09791807
137641718
250021718

prune553.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b
(/ y (sqrt x))
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))
0.5b
(/ 1.0 (* x 9.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
60×times-frac
44×*-un-lft-identity
41×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
13×associate-*l*
11×div-exp
9×prod-exp add-log-exp unswap-sqr
7×cbrt-undiv associate-/r*
6×pow1 frac-sub associate-/l*
5×cbrt-unprod
4×flip3-- flip-- div-inv
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp associate--l+ clear-num
1×associate--l- pow-prod-down *-commutative
Counts
4 → 150
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms
(/ y (sqrt x))
14.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))

series171.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
47.0ms
(/ y (sqrt x))
58.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
21.0ms
(/ 1.0 (* x 9.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07671171
135241033
250011025

prune361.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

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
0127

end0.0ms

sample835.0ms

Algorithm
intervals
Results
283.0ms8518×body80valid
271.0ms8577×body80nan