Details

Time bar (total: 10.9s)

sample43.0ms

Algorithm
intervals
Results
16.0ms268×body80valid
13.0ms229×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune6.0ms

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

rewrite72.0ms

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:
52.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
6.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series24.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07682009
130771504
250021453

prune998.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×pow1 sqrt-prod
3×times-frac associate-*l* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
2 → 47
Calls
2 calls:
5.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))

series12.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(* 3.0 (sqrt x))

simplify36.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0289258
11106221
25001213

prune434.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

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

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
321×times-frac
299×add-sqr-sqrt
242×*-un-lft-identity
221×add-cube-cbrt
178×prod-diff
131×associate--l+
25×div-inv difference-of-squares
16×add-exp-log add-cbrt-cube associate-/l*
11×distribute-lft-out--
9×add-log-exp
7×fma-neg
6×pow1 associate-*r*
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×diff-log associate-*l*
2×sub-neg flip3-- frac-2neg prod-exp clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 327
Calls
4 calls:
190.0ms
(- (- 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))
6.0ms
(/ (/ 1.0 x) 9.0)

series21.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(* 3.0 (sqrt x))
2.0ms
(/ (/ 1.0 x) 9.0)

simplify78.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014975667
150014916

prune3.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 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))
0.4b
(/ 1.0 (* x 9.0))

rewrite156.0ms

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:
89.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series18.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
8.0ms
(/ (/ y 3.0) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify175.0ms

Algorithm
egg-herbie
Counts
609 → 609
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0232420584
1500216557

prune3.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes140.0ms

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

sample1.3s

Algorithm
intervals
Results
524.0ms8487×body80valid
486.0ms8539×body80nan