Details

Time bar (total: 3.5s)

sample45.0ms

Algorithm
intervals
Results
17.0ms274×body80valid
15.0ms271×body80nan

simplify17.0ms

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: 0.2b

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

rewrite54.0ms

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:
39.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))

series151.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
39.0ms
(* 3.0 (sqrt x))
54.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0516590
12039534
25001532

prune219.0ms

Pruning

9 alts after pruning (9 fresh and 0 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))))
0.2b
(* 3.0 (sqrt x))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite171.0ms

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:
152.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)

series156.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
36.0ms
(* 3.0 (sqrt x))
58.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ (/ 1.0 x) 9.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0741956
12914892
25001892

prune339.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
25×add-cbrt-cube
20×add-sqr-sqrt
15×prod-exp
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
11×pow1
10×div-exp
9×times-frac
7×cbrt-unprod
6×cbrt-undiv associate-*l* associate-/l*
4×rec-exp 1-exp sqrt-prod add-log-exp
3×pow-prod-down div-inv unswap-sqr
2×pow-flip frac-2neg clear-num associate-/r* *-commutative
1×associate-*r/ un-div-inv inv-pow
Counts
4 → 103
Calls
4 calls:
6.0ms
(* 3.0 (sqrt x))
5.0ms
(/ 1 (* 3.0 (sqrt x)))
16.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
3.0ms
(/ 1.0 (* x 9.0))

series144.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 3.0 (sqrt x))
36.0ms
(/ 1 (* 3.0 (sqrt x)))
57.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
16.0ms
(/ 1.0 (* x 9.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0505538
12302442
25002432

prune216.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.0b
(- 1.0 (/ 0.1111111111111111 x))
0.2b
(* 3.0 (sqrt x))
0.3b
(/ y (* 3.0 (sqrt x)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
9×add-cube-cbrt
6×pow1 associate-*r*
4×times-frac diff-log sqrt-prod distribute-lft-out--
3×sub-neg flip3-- associate-*l* flip-- associate-/l* difference-of-squares
2×cbrt-undiv div-exp prod-exp associate--l+ frac-sub cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
55.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
6.0ms
(- 1.0 (/ 0.1111111111111111 x))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ y (* 3.0 (sqrt x)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
34.0ms
(- 1.0 (/ 0.1111111111111111 x))
38.0ms
(* 3.0 (sqrt x))
62.0ms
(/ y (* 3.0 (sqrt x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0455557
11640508
25001495

prune175.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes45.0ms

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
0198
1198

end0.0ms

sample1.2s

Algorithm
intervals
Results
539.0ms8515×body80valid
418.0ms8575×body80nan