Details

Time bar (total: 3.0s)

sample30.0ms

Algorithm
intervals
Results
9.0ms273×body80valid
8.0ms279×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

localize13.0ms

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))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
add-log-exp
pow1 times-frac associate-*r* associate-/l*
cbrt-undiv div-exp sqrt-prod
diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
10.0ms
(- (- 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))

series161.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
55.0ms
(/ y (* 3.0 (sqrt x)))
43.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0516590
12039534
25001532

prune213.0ms

Filtered
97 candidates to 70 candidates (72.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New89897
Fresh000
Picked101
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

localize15.0ms

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))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
add-log-exp
pow1 associate-*r* div-inv
cbrt-undiv div-exp
associate-/r* sqrt-prod
diff-log associate-*l* distribute-lft-out--
sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
20.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series165.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
57.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
43.0ms
(* 3.0 (sqrt x))

simplify72.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0741956
12914892
25001892

prune309.0ms

Filtered
146 candidates to 112 candidates (76.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1442146
Fresh167
Picked101
Done000
Total1468154

Merged error: 0.0b

Counts
154 → 8

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))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt add-log-exp
associate-*r*
pow1
sqrt-prod
times-frac diff-log associate-*l* associate-/l* distribute-lft-out--
cbrt-undiv sub-neg flip3-- div-exp prod-exp associate--l+ frac-sub flip-- cbrt-unprod unswap-sqr
associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv difference-of-squares
Counts
3 → 64
Calls
3 calls:
11.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))

series145.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
56.0ms
(/ y (* 3.0 (sqrt x)))
42.0ms
(* 3.0 (sqrt x))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0435479
11611433
25002419

prune149.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70373
Fresh347
Picked101
Done000
Total74781

Merged error: 0.0b

Counts
81 → 7

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))

rewrite53.0ms

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*
div-inv
add-exp-log add-cbrt-cube add-log-exp
associate-/r*
difference-of-squares
cbrt-undiv diff-log div-exp distribute-lft-out--
pow1 sub-neg flip3-- associate--l+ frac-sub flip--
associate--l- frac-2neg clear-num associate-/l/
Counts
2 → 137
Calls
2 calls:
38.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
8.0ms
(/ (/ y 3.0) (sqrt x))

series105.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
61.0ms
(/ (/ y 3.0) (sqrt x))

simplify244.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06781322
124861249
250021249

prune252.0ms

Filtered
143 candidates to 95 candidates (66.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1421143
Fresh066
Picked011
Done000
Total1428150

Merged error: 0.0b

Counts
150 → 8

regimes56.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample812.0ms

Algorithm
intervals
Results
270.0ms8489×body80valid
263.0ms8576×body80nan

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