Details

Time bar (total: 7.4s)

sample35.0ms

Algorithm
intervals
Results
11.0ms282×body80nan
9.0ms278×body80valid

simplify20.0ms

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

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))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
63×*-un-lft-identity
56×prod-diff
42×add-cube-cbrt
30×times-frac
23×associate--l+
16×add-exp-log add-cbrt-cube
11×distribute-lft-out--
10×div-inv
9×add-log-exp difference-of-squares
6×pow1 associate-*r* associate-/l*
5×fma-neg
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×diff-log associate-*l* prod-exp cbrt-unprod
2×sub-neg flip3-- frac-2neg clear-num associate-/r* frac-sub flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
56.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))

series165.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
40.0ms
(* 3.0 (sqrt x))

simplify92.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07682009
130771504
250021453

prune373.0ms

Pruning

7 alts after pruning (7 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))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
819×times-frac
705×add-sqr-sqrt
694×*-un-lft-identity
523×add-cube-cbrt
431×prod-diff
239×sqrt-prod
88×difference-of-squares
86×distribute-lft-out--
47×div-inv
23×associate--l+
16×associate-/l*
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×cbrt-undiv fma-neg div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 600
Calls
3 calls:
97.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series127.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
59.0ms
(/ (/ y 3.0) (sqrt x))

simplify183.0ms

Algorithm
egg-herbie
Counts
609 → 609
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0232420584
1500216557

prune1.2s

Pruning

6 alts after pruning (6 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))

rewrite372.0ms

Algorithm
rewrite-expression-head
Rules
1599×add-sqr-sqrt
1593×times-frac
1007×*-un-lft-identity
836×add-cube-cbrt
703×prod-diff
317×sqrt-prod
254×difference-of-squares
131×associate--l+
86×distribute-lft-out--
74×div-inv
26×associate-/l*
13×add-exp-log add-cbrt-cube
9×associate-/r*
8×add-log-exp
7×fma-neg
6×cbrt-undiv div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip-- associate-/l/
1×associate--l-
Counts
3 → 923
Calls
3 calls:
256.0ms
(- (- 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))

series130.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
17.0ms
(/ (/ 1.0 x) 9.0)
67.0ms
(/ (/ y 3.0) (sqrt x))

simplify284.0ms

Algorithm
egg-herbie
Counts
932 → 932
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0329332174
1500230187

prune2.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
83×*-un-lft-identity
81×prod-diff
62×add-cube-cbrt
56×times-frac
41×associate--l+
17×difference-of-squares
11×distribute-lft-out--
10×add-exp-log add-cbrt-cube div-inv
8×add-log-exp
6×fma-neg associate-*r*
5×pow1
4×sqrt-prod
3×expm1-log1p-u diff-log associate-*l* log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 157
Calls
3 calls:
73.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))

series150.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
63.0ms
(/ y (* 3.0 (sqrt x)))
42.0ms
(* 3.0 (sqrt x))

simplify104.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08092384
131601682
250021591

prune401.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes56.0ms

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
0126
1126

end0.0ms

sample819.0ms

Algorithm
intervals
Results
283.0ms8559×body80valid
253.0ms8514×body80nan