Details

Time bar (total: 2.5s)

sample45.0ms

Algorithm
intervals
Results
13.0ms276×body80valid
11.0ms272×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
010214
110214

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

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))
0.5b
(/ 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))))
5.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series25.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (- 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))

simplify26.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
051011019

prune154.0ms

Filtered
72 candidates to 97 candidates (-34.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New89897
Fresh000
Picked101
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

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))
0.5b
(/ 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:
33.0ms
(- (- 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))

series19.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (- 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))

simplify62.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
055962320

prune202.0ms

Filtered
113 candidates to 167 candidates (-47.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1661167
Fresh167
Picked101
Done000
Total1687175

Merged error: 0.0b

Counts
175 → 7

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))

rewrite49.0ms

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:
35.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))

series18.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
052182096

prune168.0ms

Filtered
97 candidates to 143 candidates (-47.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1430143
Fresh066
Picked011
Done000
Total1437150

Merged error: 0.0b

Counts
150 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (* (/ 3.0 y) (sqrt x))))
0.3b
(/ 1 (* (/ 3.0 y) (sqrt x)))
0.3b
(* (/ 3.0 y) (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
29×add-sqr-sqrt
25×*-un-lft-identity
23×add-cbrt-cube
17×add-cube-cbrt times-frac
13×associate-*l*
12×div-exp
9×pow1 prod-exp add-log-exp
7×cbrt-undiv
6×associate-*r* associate-/l* distribute-lft-out--
5×sqrt-prod cbrt-unprod div-inv
4×unswap-sqr
3×rec-exp diff-log 1-exp
2×sub-neg flip3-- pow-flip frac-2neg pow-prod-down associate-*l/ associate--l+ clear-num associate-/r* frac-sub flip--
1×associate--l- associate-/r/ *-commutative inv-pow difference-of-squares
Counts
4 → 114
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (* (/ 3.0 y) (sqrt x))))
9.0ms
(/ 1 (* (/ 3.0 y) (sqrt x)))
7.0ms
(* (/ 3.0 y) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series28.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (* (/ 3.0 y) (sqrt x))))
8.0ms
(/ 1 (* (/ 3.0 y) (sqrt x)))
9.0ms
(* (/ 3.0 y) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049891313
149891313

prune131.0ms

Filtered
84 candidates to 126 candidates (-50.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh055
Picked011
Done011
Total1267133

Merged error: 0.0b

Counts
133 → 7

regimes107.0ms

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
01112
11112

end0.0ms

sample1.2s

Algorithm
intervals
Results
392.0ms8524×body80valid
352.0ms8410×body80nan

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