Details

Time bar (total: 7.5s)

sample60.0ms

Algorithm
intervals
Results
23.0ms42×body1280valid
16.0ms52×body640valid
9.0ms140×body80valid
3.0ms15×body320valid
1.0ms7×body160valid

simplify115.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01116
12016
24216
39016
416816
523716
625516
done25516

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))
16.6b
(/ (* (* (/ 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:
20.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
13.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
19.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series175.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
37.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
80.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify705.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
01631474
14031285
216391016
done50001016

prune227.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

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

rewrite28.0ms

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:
11.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
4.0ms
(/ (sin x) (sin (* 0.5 x)))
10.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
40.0ms
(/ (sin x) (sin (* 0.5 x)))
40.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify763.0ms

Counts
119 → 119
Iterations

Useful iterations: done (759.0ms)

IterNodesCost
02162048
15341898
221541606
done50001604

prune330.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
59×times-frac
50×add-sqr-sqrt
43×add-cube-cbrt *-un-lft-identity
34×add-exp-log add-cbrt-cube
32×associate-*l*
28×sqrt-prod
16×associate-/r*
11×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
9×sqrt-div
7×associate-*l/
6×div-inv
4×associate-*r* pow-prod-down associate-/l* add-log-exp
3×associate-/l/ unswap-sqr
2×frac-times frac-2neg associate-*r/ clear-num *-commutative
1×associate-/r/
Counts
4 → 148
Calls
4 calls:
13.0ms
(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
27.0ms
(/ (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin x) (sin (* 0.5 x))))
4.0ms
(/ (sin x) (sin (* 0.5 x)))
28.0ms
(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))
165.0ms
(/ (* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5)))) (/ (sin x) (sin (* 0.5 x))))
42.0ms
(/ (sin x) (sin (* 0.5 x)))
100.0ms
(* (sqrt (/ 8.0 3.0)) (* (sqrt (/ 8.0 3.0)) (sin (* x 0.5))))

simplify822.0ms

Counts
160 → 160
Iterations

Useful iterations: 2 (238.0ms)

IterNodesCost
02603172
16462638
225782202
done50002202

prune499.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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:
21.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms
(/ (sin (* 0.5 x)) (sin x))
10.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
39.0ms
(/ (sin (* 0.5 x)) (sin x))
42.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify609.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
01881718
14591555
217521292
done50011292

prune265.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11416
done1416

end0.0ms

sample1.9s

Algorithm
intervals
Results
926.0ms1513×body1280valid
390.0ms1231×body640valid
281.0ms4339×body80valid
134.0ms622×body320valid
43.0ms295×body160valid