Details

Time bar (total: 4.1s)

sample58.0ms

Algorithm
intervals
Results
21.0ms48×body1280valid
11.0ms38×body640valid
9.0ms142×body80valid
4.0ms20×body320valid
1.0ms8×body160valid

simplify15.0ms

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: 15.2b

Counts
2 → 1

localize16.0ms

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)))
15.1b
(/ (* (* (/ 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)))
12.0ms
(/ (* (* (/ 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 (47.0ms)

IterNodesCost
0402818
12097614
25002599

prune395.0ms

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
38×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
16×associate-/r*
13×cbrt-undiv div-exp associate-*l*
6×prod-exp cbrt-unprod
5×pow1 div-inv
4×associate-/l*
3×associate-*r* add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative associate-/l/
Counts
3 → 110
Calls
3 calls:
10.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
4.0ms
(/ (sin x) (sin (* 0.5 x)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series21.0ms

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

simplify65.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05401166
12701980
25001956

prune530.0ms

Filtered
119 candidates to 89 candidates (25.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1172119
Fresh1910
Picked101
Done000
Total11911130

Merged error: 0b

Counts
130 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
49×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
19×associate-/r*
13×cbrt-undiv div-exp
7×associate-/l*
5×div-inv
4×prod-exp cbrt-unprod
3×pow1 frac-2neg clear-num add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
3 → 105
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) 3.0)
10.0ms
(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))
4.0ms
(/ (sin x) (sin (* 0.5 x)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) 3.0)
11.0ms
(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))
7.0ms
(/ (sin x) (sin (* 0.5 x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05041132
12553976
25001950

prune489.0ms

Filtered
114 candidates to 84 candidates (26.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh1910
Picked011
Done000
Total11411125

Merged error: 0b

Counts
125 → 11

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) 3.0)
0.2b
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* x 0.5)))
15.1b
(/ (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* x 0.5))) (sin x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
10×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp
6×associate-/r*
4×associate-/l*
3×associate-*r* pow-prod-down add-log-exp
2×frac-2neg associate-*r/ associate-*l/ clear-num div-inv
1×associate-*l* *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) 3.0)
7.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* x 0.5)))
11.0ms
(/ (* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin (* x 0.5))) (sin x))

series21.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0394786
12040607
25002587

prune315.0ms

Filtered
83 candidates to 58 candidates (30.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh099
Picked011
Done011
Total831194

Merged error: 0b

Counts
94 → 11

regimes168.0ms

Accuracy

0% (0.2b 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
0139
1139

end0.0ms

sample1.7s

Algorithm
intervals
Results
710.0ms1525×body1280valid
364.0ms1247×body640valid
278.0ms4338×body80valid
126.0ms599×body320valid
49.0ms291×body160valid

Profiling

Loading profile data...