Details

Time bar (total: 3.8s)

sample65.0ms

Algorithm
intervals
Results
26.0ms55×body1280valid
11.0ms39×body640valid
9.0ms26×body320valid
8.0ms125×body80valid
2.0ms11×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 13.3b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))
13.1b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite29.0ms

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:
9.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
8.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series168.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
35.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
77.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify54.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0402818
12097614
25002599

prune217.0ms

Filtered
88 candidates to 62 candidates (70.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New771188
Fresh000
Picked101
Done000
Total781189

Merged error: 0.1b

Counts
89 → 11

localize17.0ms

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)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite26.0ms

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))
11.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (sin (* 0.5 x)) (sin x))
78.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify63.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0463970
12477779
25002764

prune255.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1007107
Fresh7310
Picked101
Done000
Total10810118

Merged error: 0b

Counts
118 → 10

localize11.0ms

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)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (sin (* 0.5 x)) 3.0)
37.0ms
(/ (sin (* 0.5 x)) (sin x))
97.0ms
(* (* 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

prune210.0ms

Filtered
102 candidates to 73 candidates (71.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh189
Picked011
Done000
Total10210112

Merged error: 0b

Counts
112 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 2.6666666666666665 (sin (* 0.5 x)))
0.2b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* 2.6666666666666665 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
18×times-frac
16×associate-*r*
10×pow1
7×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
2×*-commutative div-inv
1×frac-2neg associate-*r/ clear-num unswap-sqr
Counts
3 → 78
Calls
3 calls:
4.0ms
(* 2.6666666666666665 (sin (* 0.5 x)))
4.0ms
(/ (sin (* 0.5 x)) (sin x))
9.0ms
(* (* 2.6666666666666665 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* 2.6666666666666665 (sin (* 0.5 x)))
41.0ms
(/ (sin (* 0.5 x)) (sin x))
74.0ms
(* (* 2.6666666666666665 (sin (* 0.5 x))) (/ (sin (* 0.5 x)) (sin x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326703
11752589
25001589

prune167.0ms

Filtered
87 candidates to 60 candidates (69.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New85287
Fresh268
Picked011
Done011
Total871097

Merged error: 0b

Counts
97 → 10

regimes38.0ms

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

sample1.9s

Algorithm
intervals
Results
703.0ms1467×body1280valid
564.0ms1269×body640valid
296.0ms4305×body80valid
129.0ms628×body320valid
47.0ms331×body160valid

Profiling

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