Details

Time bar (total: 9.0s)

sample58.0ms

Algorithm
intervals
Results
23.0ms50×body1280valid
11.0ms37×body640valid
8.0ms128×body80valid
4.0ms20×body320valid
3.0ms21×body160valid

simplify191.0ms

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: 14.7b

localize12.0ms

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)))
14.6b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite58.0ms

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×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 85
Calls
3 calls:
24.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
11.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
21.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series187.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
40.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
86.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify825.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
01691554
14131349
216311080
done50011080

prune261.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 100
Calls
3 calls:
5.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
4.0ms
(/ (sin (* x 0.5)) (sin x))
16.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
45.0ms
(/ (sin (* x 0.5)) (sin x))
84.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify831.0ms

Counts
109 → 109
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
01811823
14631671
217901378
done50011378

prune300.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative associate-/l/
Counts
3 → 116
Calls
3 calls:
4.0ms
(/ (sin x) (sin (* x 0.5)))
15.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
11.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (sin x) (sin (* x 0.5)))
85.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
40.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify994.0ms

Counts
125 → 125
Iterations

Useful iterations: 2 (454.0ms)

IterNodesCost
02172116
15381956
221101662
done50001662

prune350.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
92×add-exp-log
74×add-sqr-sqrt
61×add-cbrt-cube
55×add-cube-cbrt *-un-lft-identity
38×cbrt-undiv div-exp
35×cbrt-prod
34×associate-*l*
28×prod-exp cbrt-unprod
18×div-inv
13×associate-*r*
10×associate-/r*
9×associate-/l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 207
Calls
4 calls:
8.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
4.0ms
(/ (sin (* x 0.5)) (sin x))
45.0ms
(* (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
10.0ms
(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series542.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
47.0ms
(/ (sin (* x 0.5)) (sin x))
181.0ms
(* (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
145.0ms
(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.5s

Counts
219 → 219
Iterations

Useful iterations: 2 (763.0ms)

IterNodesCost
03135265
18844576
236053633
done50013633

prune649.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes38.0ms

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
01116
11416
done1416

end0.0ms

sample1.7s

Algorithm
intervals
Results
705.0ms1449×body1280valid
410.0ms1309×body640valid
263.0ms4315×body80valid
122.0ms599×body320valid
45.0ms328×body160valid