Details

Time bar (total: 10.9s)

sample60.0ms

Algorithm
intervals
Results
21.0ms47×body1280valid
15.0ms51×body640valid
9.0ms126×body80valid
4.0ms22×body320valid
1.0ms10×body160valid

simplify114.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01116
12016
24216
39016
416816
523716
625516
done25516

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
15.4b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite52.0ms

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:
19.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
21.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series172.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
77.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify944.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
01631474
14031285
216391016
done50001016

prune213.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* (/ 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)))

rewrite30.0ms

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)))
10.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
38.0ms
(/ (sin x) (sin (* 0.5 x)))
37.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify782.0ms

Counts
119 → 119
Iterations

Useful iterations: done (778.0ms)

IterNodesCost
02162048
15341898
221541606
done50001604

prune332.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
217×times-frac
97×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
25×div-inv
19×associate-/r*
16×cbrt-undiv div-exp
11×associate-/l*
3×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/ associate-/l/
Counts
3 → 183
Calls
3 calls:
5.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
10.0ms
(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))
4.0ms
(/ (sin x) (sin (* 0.5 x)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
73.0ms
(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* 0.5 x))))
44.0ms
(/ (sin x) (sin (* 0.5 x)))

simplify1.4s

Counts
192 → 192
Iterations

Useful iterations: 2 (564.0ms)

IterNodesCost
03464716
19944509
241994080
done50004080

prune575.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(/ (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin x) (sin (* 0.5 x))))
0.2b
(/ (sin x) (sin (* 0.5 x)))
0.4b
(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
1308×times-frac
514×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
228×cbrt-prod
144×div-inv
92×add-exp-log
61×add-cbrt-cube
50×cbrt-undiv div-exp
43×associate-/l*
23×associate-/r*
16×prod-exp cbrt-unprod
4×pow1 frac-2neg clear-num add-log-exp
2×associate-/l/
1×associate-/r/
Counts
4 → 635
Calls
4 calls:
7.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
27.0ms
(/ (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin x) (sin (* 0.5 x))))
4.0ms
(/ (sin x) (sin (* 0.5 x)))
9.0ms
(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series493.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
164.0ms
(/ (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin x) (sin (* 0.5 x))))
40.0ms
(/ (sin x) (sin (* 0.5 x)))
138.0ms
(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.2s

Counts
647 → 647
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0101126115
1305223529
done500123527

prune2.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11416
done1416

end0.0ms

sample1.7s

Algorithm
intervals
Results
726.0ms1519×body1280valid
388.0ms1285×body640valid
265.0ms4288×body80valid
127.0ms607×body320valid
42.0ms301×body160valid