Details

Time bar (total: 7.5s)

sample33.0ms

Algorithm
intervals
Results
11.0ms261×body80nan
8.0ms272×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

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))

rewrite33.0ms

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:
13.0ms
(- (- 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))
4.0ms
(/ 1.0 (* x 9.0))

series169.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
63.0ms
(/ y (* 3.0 (sqrt x)))
44.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07682009
130771504
250021453

prune402.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite113.0ms

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:
50.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
5.0ms
(/ 1.0 (* x 9.0))

series323.0ms

Counts
3 → 9
Calls
3 calls:
238.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
58.0ms
(/ (/ y 3.0) (sqrt x))
26.0ms
(/ 1.0 (* x 9.0))

simplify180.0ms

Algorithm
egg-herbie
Counts
609 → 609
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0232420584
1500216557

prune1.2s

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))

rewrite188.0ms

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:
72.0ms
(- (- 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))

series132.0ms

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)
69.0ms
(/ (/ y 3.0) (sqrt x))

simplify288.0ms

Algorithm
egg-herbie
Counts
932 → 932
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0329332174
1500230187

prune2.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
69×times-frac
63×*-un-lft-identity
56×add-cube-cbrt
33×add-exp-log
26×prod-diff
24×sqrt-prod
23×associate--l+ 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* div-inv
6×pow1 frac-sub associate-/l*
5×fma-neg cbrt-unprod
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp clear-num distribute-lft-out-- difference-of-squares
1×associate--l- pow-prod-down *-commutative
Counts
4 → 189
Calls
4 calls:
14.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms
(/ y (sqrt x))
13.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))

series173.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
42.0ms
(/ y (sqrt x))
64.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09001708
140811417
250011396

prune492.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes65.0ms

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

sample795.0ms

Algorithm
intervals
Results
277.0ms8518×body80valid
250.0ms8577×body80nan