Details

Time bar (total: 3.4s)

sample34.0ms

Algorithm
intervals
Results
11.0ms265×body80valid
10.0ms250×body80nan

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune3.0ms

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

localize12.0ms

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))
0.7b
(/ 1.0 (* x 9.0))

rewrite25.0ms

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))
4.0ms
(/ 1.0 (* x 9.0))

series156.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
55.0ms
(/ y (* 3.0 (sqrt x)))
40.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0516590
12039534
25001532

prune209.0ms

Filtered
97 candidates to 70 candidates (72.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New851297
Fresh000
Picked101
Done000
Total861298

Merged error: 0.0b

Counts
98 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.4b
(/ (/ y 3.0) (sqrt x))
0.7b
(/ 1.0 (* x 9.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×*-un-lft-identity
82×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
13×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
7×associate-/r*
5×cbrt-undiv div-exp difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
30.0ms
(- (- 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))

series120.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
55.0ms
(/ (/ y 3.0) (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07601441
129241358
250011358

prune300.0ms

Filtered
167 candidates to 112 candidates (67.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1643167
Fresh5611
Picked101
Done000
Total1709179

Merged error: 0.0b

Counts
179 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
0.3b
(* y (/ (/ 1 3.0) (sqrt x)))
0.4b
(/ (/ 1 3.0) (sqrt x))
0.7b
(/ 1.0 (* x 9.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
286×times-frac
175×add-sqr-sqrt
155×*-un-lft-identity
153×add-cube-cbrt
84×sqrt-prod
82×associate-*r*
33×add-exp-log
23×add-cbrt-cube
16×div-inv associate-/l*
14×div-exp
9×add-log-exp
8×cbrt-undiv
7×associate-/r* unswap-sqr
6×pow1 prod-exp
4×cbrt-unprod
3×diff-log associate-*r/ associate-*l*
2×sub-neg rec-exp flip3-- frac-2neg 1-exp associate--l+ clear-num frac-sub flip--
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 263
Calls
4 calls:
7.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
24.0ms
(* y (/ (/ 1 3.0) (sqrt x)))
7.0ms
(/ (/ 1 3.0) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series160.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
57.0ms
(* y (/ (/ 1 3.0) (sqrt x)))
43.0ms
(/ (/ 1 3.0) (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010622131
148991885
250011885

prune421.0ms

Filtered
275 candidates to 156 candidates (56.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2750275
Fresh088
Picked011
Done000
Total2759284

Merged error: 0.0b

Counts
284 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.4b
(/ (/ y 3.0) (sqrt x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
95×add-sqr-sqrt
84×*-un-lft-identity
79×add-cube-cbrt
44×sqrt-prod
13×associate-/l*
8×div-inv
7×add-exp-log add-cbrt-cube add-log-exp
6×associate-/r*
5×difference-of-squares
3×cbrt-undiv diff-log div-exp distribute-lft-out--
2×pow1 sub-neg flip3-- associate--l+ frac-sub flip--
1×associate--l- frac-2neg clear-num associate-/l/
Counts
2 → 137
Calls
2 calls:
36.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))

series102.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
59.0ms
(/ (/ y 3.0) (sqrt x))

simplify66.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06781322
124861249
250021249

prune233.0ms

Filtered
143 candidates to 95 candidates (66.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1421143
Fresh167
Picked101
Done011
Total1448152

Merged error: 0.0b

Counts
152 → 8

regimes88.0ms

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
0188
1188

end0.0ms

sample984.0ms

Algorithm
intervals
Results
352.0ms8534×body80valid
340.0ms8678×body80nan