Details

Time bar (total: 3.8s)

sample33.0ms

Algorithm
intervals
Results
8.0ms277×body80valid
8.0ms291×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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ y (* 3.0 (sqrt x)))
0.4b
(/ 1.0 (* x 9.0))

rewrite136.0ms

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:
94.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
13.0ms
(* 3.0 (sqrt x))
12.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))

series148.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
37.0ms
(* 3.0 (sqrt x))
55.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0516590
12039534
25001532

prune222.0ms

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

rewrite161.0ms

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:
11.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
120.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
13.0ms
(/ (/ y 3.0) (sqrt x))
10.0ms
(/ 1.0 (* x 9.0))

series145.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
41.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
56.0ms
(/ (/ y 3.0) (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07711529
129431446
250011446

prune411.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ y (* 3.0 (sqrt x)))
0.4b
(* (/ 1 x) (/ 1.0 9.0))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
33×add-exp-log
28×times-frac
27×*-un-lft-identity
23×add-cube-cbrt add-cbrt-cube
19×associate-*r*
16×associate-*l*
10×div-exp prod-exp
9×add-log-exp
8×pow1 unswap-sqr
6×cbrt-undiv cbrt-unprod
4×sqrt-prod
3×diff-log div-inv associate-/l*
2×sub-neg rec-exp flip3-- 1-exp pow-prod-down associate--l+ *-commutative frac-sub flip--
1×associate--l- frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
32.0ms
(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
12.0ms
(* 3.0 (sqrt x))
9.0ms
(/ y (* 3.0 (sqrt x)))
24.0ms
(* (/ 1 x) (/ 1.0 9.0))

series152.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
35.0ms
(* 3.0 (sqrt x))
56.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(* (/ 1 x) (/ 1.0 9.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0744826
13296713
25003706

prune300.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
9×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×diff-log associate-*l* distribute-lft-out--
2×sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
197.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
9.0ms
(* 3.0 (sqrt x))
9.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)

series149.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
34.0ms
(* 3.0 (sqrt x))
56.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0741956
12914892
25001892

prune351.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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
0137
1137

end0.0ms

sample872.0ms

Algorithm
intervals
Results
264.0ms8533×body80valid
234.0ms8522×body80nan