Details

Time bar (total: 3.7s)

sample72.0ms

Algorithm
intervals
Results
27.0ms43×body1280valid
17.0ms43×body640valid
12.0ms140×body80valid
5.0ms17×body320valid
2.0ms13×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 16.1b

Counts
2 → 1

localize17.0ms

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)))
15.9b
(/ (* (* (/ 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:
8.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

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))

simplify59.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0402818
12097614
25002599

prune183.0ms

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

rewrite25.0ms

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)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (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)))

simplify65.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0463970
12477779
25002764

prune199.0ms

Filtered
107 candidates to 74 candidates (30.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1043107
Fresh4610
Picked101
Done000
Total1099118

Merged error: 0b

Counts
118 → 9

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)))

rewrite20.0ms

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

series21.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0426934
12116775
25001753

prune183.0ms

Filtered
102 candidates to 73 candidates (28.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh088
Picked011
Done000
Total1029111

Merged error: 0b

Counts
111 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (sin (* 0.5 x)) 2) 8.0)
0.2b
(* 3.0 (sin x))
0.2b
(pow (sin (* 0.5 x)) 2)
15.9b
(/ (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
20×add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp
11×add-cube-cbrt *-un-lft-identity associate-*l*
8×div-exp
7×pow1 unpow-prod-down
6×associate-*r* cbrt-unprod
5×unswap-sqr
4×cbrt-undiv pow-to-exp pow-exp add-log-exp
3×pow-unpow unpow2 sqr-pow
2×*-commutative
1×pow-pow frac-2neg times-frac pow-prod-down clear-num associate-/r* div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
6.0ms
(* (pow (sin (* 0.5 x)) 2) 8.0)
4.0ms
(* 3.0 (sin x))
3.0ms
(pow (sin (* 0.5 x)) 2)
8.0ms
(/ (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (pow (sin (* 0.5 x)) 2) 8.0)
3.0ms
(* 3.0 (sin x))
4.0ms
(pow (sin (* 0.5 x)) 2)
11.0ms
(/ (* (pow (sin (* 0.5 x)) 2) 8.0) (* 3.0 (sin x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383635
11848525
25001525

prune129.0ms

Filtered
100 candidates to 61 candidates (39.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh077
Picked011
Done011
Total1009109

Merged error: 0b

Counts
109 → 9

regimes120.0ms

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

sample2.3s

Algorithm
intervals
Results
968.0ms1494×body1280valid
529.0ms1245×body640valid
369.0ms4277×body80valid
184.0ms657×body320valid
67.0ms327×body160valid

Profiling

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