Details

Time bar (total: 4.1s)

sample75.0ms

Algorithm
intervals
Results
30.0ms45×body1280valid
17.0ms43×body640valid
13.0ms148×body80valid
4.0ms15×body320valid
1.0ms5×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

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: 17.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
17.2b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l*
13×times-frac
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
6×associate-*r*
5×associate-*l/
4×pow-prod-down
3×associate-/r* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 79
Calls
3 calls:
8.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series160.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
74.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify53.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0402818
12097614
25002599

prune203.0ms

Filtered
88 candidates to 62 candidates (70.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New731588
Fresh000
Picked101
Done000
Total741589

Merged error: 0.1b

Counts
89 → 15

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
4×pow-prod-down associate-*l/
3×associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*r/ clear-num
Counts
3 → 98
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) (sin x))
10.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (sin (* 0.5 x)) (sin x))
74.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
38.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify65.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0463970
12477779
25002764

prune252.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New989107
Fresh11314
Picked011
Done000
Total10913122

Merged error: 0b

Counts
122 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) 3.0)
0.2b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp
6×associate-/r* associate-/l*
3×associate-*r/ pow-prod-down div-inv add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
3 → 93
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) 3.0)
4.0ms
(/ (sin (* 0.5 x)) (sin x))
10.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (sin (* 0.5 x)) 3.0)
38.0ms
(/ (sin (* 0.5 x)) (sin x))
72.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0426934
12116775
25001753

prune234.0ms

Filtered
102 candidates to 73 candidates (71.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh11011
Picked011
Done011
Total10213115

Merged error: 0b

Counts
115 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
0.2b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
0.3b
(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×times-frac
36×add-cube-cbrt *-un-lft-identity
34×add-exp-log add-cbrt-cube
33×associate-*l*
28×sqrt-prod
20×pow1
17×associate-*r*
16×prod-exp cbrt-unprod
13×sqrt-div associate-*l/
10×pow-prod-down
6×frac-times
4×cbrt-undiv associate-*r/ div-exp div-inv add-log-exp
3×associate-/r* *-commutative associate-/l* unswap-sqr
1×frac-2neg clear-num
Counts
4 → 139
Calls
4 calls:
8.0ms
(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
4.0ms
(/ (sin (* 0.5 x)) (sin x))
15.0ms
(* (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
12.0ms
(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
38.0ms
(/ (sin (* 0.5 x)) (sin x))
156.0ms
(* (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
87.0ms
(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

simplify82.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05871488
129901184
250011154

prune337.0ms

Filtered
151 candidates to 108 candidates (71.5%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1510151
Fresh01010
Picked011
Done022
Total15113164

Merged error: 0b

Counts
164 → 13

regimes46.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149
1149

end0.0ms

sample1.7s

Algorithm
intervals
Results
744.0ms1548×body1280valid
401.0ms1270×body640valid
305.0ms4258×body80valid
130.0ms611×body320valid
47.0ms313×body160valid

Profiling

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