Details

Time bar (total: 3.3s)

sample37.0ms

Algorithm
intervals
Results
13.0ms344×body80nan
10.0ms270×body80valid

simplify17.0ms

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

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

series231.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
84.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))
62.0ms
(* 3.0 (sqrt x))

simplify58.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0528590
12266548
25001546

prune228.0ms

Filtered
97 candidates to 71 candidates (73.2%)
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 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))

rewrite53.0ms

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
div-inv
add-log-exp
associate-/r*
cbrt-undiv div-exp difference-of-squares
pow1 diff-log distribute-lft-out--
sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip--
associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
34.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))
8.0ms
(/ (/ y 3.0) (sqrt x))

series169.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
85.0ms
(/ (/ y 3.0) (sqrt x))

simplify73.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07641441
129941367
250011367

prune318.0ms

Filtered
167 candidates to 112 candidates (67.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1652167
Fresh189
Picked101
Done000
Total16710177

Merged error: 0.0b

Counts
177 → 10

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

rewrite43.0ms

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:
22.0ms
(- (- 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))

series237.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
85.0ms
(/ y (* 3.0 (sqrt x)))
22.0ms
(/ (/ 1.0 x) 9.0)
61.0ms
(* 3.0 (sqrt x))

simplify86.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0752956
13127906
25002906

prune328.0ms

Filtered
146 candidates to 114 candidates (78.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1442146
Fresh279
Picked011
Done000
Total14610156

Merged error: 0b

Counts
156 → 10

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
78×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×sqrt-prod
13×associate-/l*
div-inv
add-exp-log associate-/r* add-cbrt-cube
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 112
Calls
1 calls:
7.0ms
(/ (/ y 3.0) (sqrt x))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ (/ y 3.0) (sqrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05171009
12010952
25001952

prune212.0ms

Filtered
115 candidates to 75 candidates (65.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1141115
Fresh178
Picked011
Done011
Total11510125

Merged error: 0b

Counts
125 → 10

regimes74.0ms

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

sample912.0ms

Algorithm
intervals
Results
336.0ms8504×body80valid
316.0ms8557×body80nan

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