Details

Time bar (total: 2.0s)

analyze41.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms3×body80invalid

simplify15.0ms

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

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

rewrite24.0ms

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

series23.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0528590
12266548
25001546

prune154.0ms

Filtered
71 candidates to 97 candidates (-36.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New88997
Fresh000
Picked101
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9

localize11.0ms

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))

rewrite47.0ms

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:
29.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series22.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
5.0ms
(/ 1.0 (* x 9.0))
8.0ms
(/ (/ y 3.0) (sqrt x))

simplify71.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07641441
129941367
250011367

prune199.0ms

Filtered
112 candidates to 167 candidates (-49.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1652167
Fresh268
Picked101
Done000
Total1688176

Merged error: 0.0b

Counts
176 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 3.0 (sqrt x)) y)
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
37×add-exp-log
31×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
16×div-exp
11×associate-/r*
9×cbrt-undiv
7×pow1 div-inv associate-/l*
6×associate-*r* prod-exp
4×sqrt-prod cbrt-unprod add-log-exp
3×rec-exp frac-2neg 1-exp associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow
Counts
4 → 120
Calls
4 calls:
5.0ms
(/ (* 3.0 (sqrt x)) y)
4.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

series29.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (* 3.0 (sqrt x)) y)
2.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))
11.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify83.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0621740
13294648
25001611

prune140.0ms

Filtered
79 candidates to 132 candidates (-67.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1320132
Fresh077
Picked011
Done000
Total1328140

Merged error: 0.0b

Counts
140 → 8

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))

rewrite42.0ms

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*
9×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×diff-log associate-*l* distribute-lft-out--
2×sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×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))

series22.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ (/ 1.0 x) 9.0)
4.0ms
(* 3.0 (sqrt x))

simplify73.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0752956
13127906
25002906

prune198.0ms

Filtered
114 candidates to 146 candidates (-28.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1451146
Fresh156
Picked011
Done011
Total1468154

Merged error: 0.0b

Counts
154 → 8

regimes106.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

analyze40.0ms

Algorithm
search

sample501.0ms

Algorithm
intervals
Results
364.0ms8000×body80valid
4.0ms91×body80invalid

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