Details

Time bar (total: 2.5s)

sample62.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 51.416016%

Guaranteed chance to sample good point: 99.089196%

Results
11.0ms256×body80valid
0.0ms5×body80invalid

simplify18.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

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

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

simplify63.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0528590
12266548
25001546

prune151.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New89897
Fresh000
Picked101
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

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
(/ (/ 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:
19.0ms
(- (- 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:
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)
6.0ms
(* 3.0 (sqrt x))

simplify85.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0752956
13127906
25002906

prune216.0ms

Filtered
113 candidates to 146 candidates (-29.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1451146
Fresh077
Picked011
Done000
Total1459154

Merged error: 0b

Counts
154 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
9×add-cube-cbrt
6×pow1 associate-*r*
4×times-frac diff-log sqrt-prod distribute-lft-out--
3×sub-neg flip3-- associate-*l* flip-- associate-/l* difference-of-squares
2×cbrt-undiv div-exp prod-exp associate--l+ frac-sub cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
7.0ms
(- 1.0 (/ 0.1111111111111111 x))
10.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 1.0 (/ 0.1111111111111111 x))
10.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0466557
11863522
25001516

prune118.0ms

Filtered
66 candidates to 91 candidates (-37.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh257
Picked011
Done011
Total928100

Merged error: 0b

Counts
100 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
290×times-frac
119×add-sqr-sqrt
115×add-cube-cbrt *-un-lft-identity
54×cbrt-prod
41×add-exp-log
33×associate-/l*
28×add-cbrt-cube
19×cbrt-undiv div-exp div-inv
8×associate-/r*
6×pow1 associate-*r* prod-exp cbrt-unprod
4×sqrt-prod add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-/l/ unswap-sqr
1×pow-prod-down *-commutative
Counts
4 → 235
Calls
4 calls:
13.0ms
(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
8.0ms
(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
8.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
15.0ms
(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))

simplify115.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09912408
142682248
250032221

prune586.0ms

Filtered
198 candidates to 247 candidates (-24.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2470247
Fresh055
Picked011
Done022
Total2478255

Merged error: 0b

Counts
255 → 8

regimes109.0ms

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

sample614.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 51.416016%

Guaranteed chance to sample good point: 99.089196%

Results
363.0ms8000×body80valid
12.0ms286×body80invalid

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