Details

Time bar (total: 4.2s)

sample81.0ms

Algorithm
intervals
Results
28.0ms41×body1280valid
17.0ms41×body640valid
13.0ms138×body80valid
8.0ms28×body320valid
2.0ms8×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

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: 14.4b

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)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
14.2b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite27.0ms

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)))
6.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify56.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0402818
12097614
25002599

prune226.0ms

Filtered
88 candidates to 62 candidates (29.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New771188
Fresh000
Picked101
Done000
Total781189

Merged error: 0.1b

Counts
89 → 11

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (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)))

rewrite23.0ms

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)))
6.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (sin (* 0.5 x)) (sin x))
11.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify64.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0463970
12477779
25002764

prune197.0ms

Filtered
107 candidates to 74 candidates (30.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh4610
Picked011
Done000
Total10810118

Merged error: 0b

Counts
118 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:
10.0ms
(/ (sin (* 0.5 x)) 3.0)
5.0ms
(/ (sin (* 0.5 x)) (sin x))
9.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (sin (* 0.5 x)) 3.0)
12.0ms
(/ (sin (* 0.5 x)) (sin x))
21.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify69.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0426934
12116775
25001753

prune180.0ms

Filtered
102 candidates to 73 candidates (28.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1002102
Fresh358
Picked011
Done011
Total1039112

Merged error: 0b

Counts
112 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))
0.2b
(* (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
0.4b
(* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))
1.0b
(/ (sqrt 8.0) 3.0)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
133×add-exp-log
97×add-cbrt-cube
67×prod-exp
65×times-frac
61×add-sqr-sqrt
53×add-cube-cbrt *-un-lft-identity
46×cbrt-unprod
45×associate-*l*
39×div-exp
31×sqrt-prod
24×cbrt-undiv
20×pow1
17×associate-*r*
13×associate-*l/
10×pow-prod-down
9×1-exp
6×frac-times associate-/l*
4×associate-*r/ div-inv add-log-exp
3×associate-/r* *-commutative unswap-sqr
1×frac-2neg clear-num
Counts
4 → 198
Calls
4 calls:
9.0ms
(* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))
19.0ms
(* (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
12.0ms
(* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))
4.0ms
(/ (sqrt 8.0) 3.0)

series36.0ms

Counts
4 → 10
Calls
4 calls:
7.0ms
(* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))
19.0ms
(* (* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
10.0ms
(* (/ (sqrt 8.0) 1) (* (/ (sqrt 8.0) 3.0) (sin (* x 0.5))))
0.0ms
(/ (sqrt 8.0) 3.0)

simplify115.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08972271
146161707
250011504

prune332.0ms

Filtered
208 candidates to 120 candidates (42.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2080208
Fresh066
Picked011
Done022
Total2089217

Merged error: 0b

Counts
217 → 9

regimes53.0ms

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

sample2.5s

Algorithm
intervals
Results
1.1s1527×body1280valid
562.0ms1262×body640valid
415.0ms4324×body80valid
177.0ms576×body320valid
71.0ms311×body160valid

Profiling

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