Details

Time bar (total: 4.6s)

sample53.0ms

Algorithm
intervals
Results
18.0ms41×body1280valid
11.0ms39×body640valid
8.0ms138×body80valid
6.0ms28×body320valid
1.0ms10×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize14.0ms

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)))
16.1b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite55.0ms

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:
21.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
20.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series175.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
39.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
81.0ms
(/ (* (* (/ 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

prune213.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

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)))

rewrite41.0ms

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))
23.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
11.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (sin (* 0.5 x)) (sin x))
78.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
41.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify63.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0463970
12477779
25002764

prune273.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l*
6×associate-/r*
5×pow1
4×div-inv associate-/l*
3×add-log-exp
2×frac-2neg clear-num unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 94
Calls
3 calls:
5.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
4.0ms
(/ (sin (* 0.5 x)) (sin x))
16.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
43.0ms
(/ (sin (* 0.5 x)) (sin x))
77.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0458994
12409812
25001788

prune274.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
72×add-cbrt-cube
65×add-sqr-sqrt
64×times-frac
49×add-cube-cbrt *-un-lft-identity
38×prod-exp cbrt-unprod
35×associate-*r*
30×cbrt-undiv div-exp
23×cbrt-prod
11×pow1
9×associate-/r*
8×associate-*l*
6×frac-times associate-*l/ associate-/l* unswap-sqr
5×div-inv
4×associate-*r/ pow-prod-down add-log-exp
2×frac-2neg clear-num *-commutative
Counts
4 → 184
Calls
4 calls:
4.0ms
(/ (sin (* 0.5 x)) (sin x))
63.0ms
(* (* (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* x 0.5)) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sin x)))
25.0ms
(* (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* x 0.5)) (cbrt 3.0)))
4.0ms
(/ (sin (* x 0.5)) (cbrt 3.0))

series433.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (sin (* 0.5 x)) (sin x))
173.0ms
(* (* (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* x 0.5)) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sin x)))
142.0ms
(* (/ 8.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* x 0.5)) (cbrt 3.0)))
80.0ms
(/ (sin (* x 0.5)) (cbrt 3.0))

simplify116.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08462578
147592067
250022021

prune555.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes79.0ms

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
0159
1179
2179

end0.0ms

sample1.6s

Algorithm
intervals
Results
707.0ms1505×body1280valid
365.0ms1262×body640valid
254.0ms4337×body80valid
123.0ms599×body320valid
41.0ms297×body160valid