Details

Time bar (total: 5.2s)

sample30.0ms

Algorithm
intervals
Results
9.0ms276×body80valid
8.0ms290×body80nan

simplify19.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

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))

rewrite28.0ms

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:
9.0ms
(- (- 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))
7.0ms
(/ 1.0 (* x 9.0))

series164.0ms

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)))
38.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0516590
12039534
25001532

prune219.0ms

Filtered
97 candidates to 70 candidates (72.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New871097
Fresh000
Picked101
Done000
Total881098

Merged error: 0.0b

Counts
98 → 10

localize9.0ms

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))

rewrite58.0ms

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:
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
34.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
60.0ms
(/ (/ y 3.0) (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07711529
129431446
250011446

prune413.0ms

Filtered
184 candidates to 124 candidates (67.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1795184
Fresh729
Picked101
Done000
Total1877194

Merged error: 0.0b

Counts
194 → 7

localize9.0ms

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
148×add-sqr-sqrt
130×*-un-lft-identity
123×add-cube-cbrt
44×sqrt-prod
26×associate-/l*
14×add-exp-log add-cbrt-cube
13×div-inv
11×add-log-exp
9×associate-/r*
8×difference-of-squares
6×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 associate-/l/
1×associate--l-
Counts
4 → 223
Calls
4 calls:
13.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
48.0ms
(- (- 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))

series156.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
63.0ms
(/ (/ y 3.0) (sqrt x))

simplify94.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010001921
138151832
250011832

prune571.0ms

Filtered
235 candidates to 169 candidates (71.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2341235
Fresh066
Picked101
Done000
Total2357242

Merged error: 0b

Counts
242 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
0.2b
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))
0.3b
(/ (/ 1.0 x) (sqrt 9.0))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
1704×times-frac
823×add-sqr-sqrt
812×*-un-lft-identity
807×add-cube-cbrt
608×sqrt-prod
108×associate-/l*
66×div-inv
23×add-exp-log add-cbrt-cube
18×associate-/r*
12×cbrt-undiv div-exp
9×add-log-exp
5×difference-of-squares
4×pow1
3×frac-2neg diff-log clear-num associate-/l/ distribute-lft-out--
2×sub-neg flip3-- associate--l+ frac-sub flip--
1×associate--l-
Counts
4 → 846
Calls
4 calls:
168.0ms
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
25.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))
11.0ms
(/ (/ 1.0 x) (sqrt 9.0))

series340.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
108.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
58.0ms
(/ (/ y 3.0) (sqrt x))
63.0ms
(/ (/ 1.0 x) (sqrt 9.0))

simplify154.0ms

Algorithm
egg-herbie
Counts
858 → 858
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0244310790
150029901

prune1.5s

Filtered
858 candidates to 382 candidates (44.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New8580858
Fresh066
Picked011
Done000
Total8587865

Merged error: 0b

Counts
865 → 7

regimes53.0ms

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
01410

end0.0ms

sample771.0ms

Algorithm
intervals
Results
263.0ms8517×body80valid
249.0ms8653×body80nan