Details

Time bar (total: 16.2s)

sample123.0ms

Algorithm
intervals
Results
38.0ms43×body1280valid
37.0ms140×body80valid
22.0ms38×body640valid
9.0ms26×body320valid
3.0ms9×body160valid

simplify313.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
12016
24316
39316
417316
527716
631416
done31416

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize13.0ms

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)))
14.7b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite252.0ms

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:
97.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
30.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
119.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series272.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
56.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
131.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.7s

Counts
88 → 88
Iterations

Useful iterations: 2 (334.0ms)

IterNodesCost
01631474
14131285
227151064
done50011064

prune294.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

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:
43.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
12.0ms
(/ (sin x) (sin (* x 0.5)))
51.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series238.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
78.0ms
(/ (sin x) (sin (* x 0.5)))
46.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.5s

Counts
119 → 119
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02112048
15601906
235621636
done50021604

prune452.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
5×pow1
4×associate-/r* associate-/l*
3×associate-*r* div-inv add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 85
Calls
3 calls:
26.0ms
(* (/ (sin x) (sin (* x 0.5))) 3.0)
12.0ms
(/ (sin x) (sin (* x 0.5)))
35.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))

series240.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* (/ (sin x) (sin (* x 0.5))) 3.0)
73.0ms
(/ (sin x) (sin (* x 0.5)))
84.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))

simplify1.3s

Counts
94 → 94
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01651532
14381473
227191168
done50011128

prune272.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log
61×add-cbrt-cube
45×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
20×times-frac
18×pow1
14×associate-*l*
9×pow-prod-down
7×associate-*r*
5×associate-*l/
4×associate-/r* associate-/l* add-log-exp
3×cbrt-prod div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×associate-/r/
Counts
4 → 129
Calls
4 calls:
53.0ms
(* (/ (sin x) (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
20.0ms
(/ (sin x) (sin (* x 0.5)))
140.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (* (/ (sin x) (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
131.0ms
(* (* (/ (sin x) (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series661.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (/ (sin x) (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
68.0ms
(/ (sin x) (sin (* x 0.5)))
263.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (* (/ (sin x) (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
157.0ms
(* (* (/ (sin x) (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify2.2s

Counts
141 → 141
Iterations

Useful iterations: 2 (484.0ms)

IterNodesCost
02243181
16892911
248722178
done50002178

prune528.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
11823
done1823

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.8s1478×body1280valid
865.0ms1243×body640valid
673.0ms4364×body80valid
610.0ms605×body320valid
123.0ms310×body160valid