Details

Time bar (total: 5.3s)

sample45.0ms

Algorithm
intervals
Results
14.0ms266×body80nan
11.0ms266×body80valid

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

Filtered
1 candidates to 0 candidates (100.0%)
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
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

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

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)))
4.0ms
(* 3.0 (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0528590
12266548
25001546

prune471.0ms

Filtered
97 candidates to 71 candidates (26.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New88997
Fresh000
Picked101
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9

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
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 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:
32.0ms
(- (- 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))

series18.0ms

Counts
3 → 9
Calls
3 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))

simplify67.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07641441
129941367
250011367

prune968.0ms

Filtered
167 candidates to 112 candidates (32.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1661167
Fresh178
Picked101
Done000
Total1688176

Merged error: 0.0b

Counts
176 → 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))

rewrite38.0ms

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:
18.0ms
(- (- 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))

series25.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
10.0ms
(/ 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 (17.0ms)

IterNodesCost
0752956
13127906
25002906

prune1.3s

Filtered
146 candidates to 114 candidates (21.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1442146
Fresh077
Picked011
Done000
Total14410154

Merged error: 0b

Counts
154 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ 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))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
8.0ms
(/ (/ y 3.0) (sqrt x))

simplify63.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06821322
125551258
250011258

prune717.0ms

Filtered
143 candidates to 95 candidates (33.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1412143
Fresh358
Picked011
Done011
Total1449153

Merged error: 0b

Counts
153 → 9

regimes123.0ms

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

sample1.1s

Algorithm
intervals
Results
375.0ms8608×body80valid
351.0ms8643×body80nan

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