Details

Time bar (total: 17.0s)

sample92.0ms

Algorithm
intervals
Results
35.0ms50×body1280valid
21.0ms40×body640valid
14.0ms136×body80valid
8.0ms21×body320valid
2.0ms9×body160valid

simplify366.0ms

Counts
1 → 1
Iterations
IterNodes
done313
6313
5275
4171
390
243
120
011

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* x 0.5)) 3.0)
0.2b
(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
13.4b
(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
38×add-sqr-sqrt
33×*-un-lft-identity add-cube-cbrt
31×add-cbrt-cube add-exp-log
16×associate-/r*
13×cbrt-undiv div-exp associate-*r*
6×prod-exp cbrt-unprod
5×pow1 div-inv
4×associate-/l*
3×associate-*l* add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-prod-down associate-/r/ *-commutative associate-/l/
Counts
3 → 110
Calls
3 calls:
9.0ms
(/ (sin (* x 0.5)) 3.0)
22.0ms
(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
32.0ms
(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

series229.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (sin (* x 0.5)) 3.0)
63.0ms
(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
118.0ms
(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

simplify2.4s

Counts
119 → 119
Iterations
IterNodes
done5001
24628
1600
0224

prune694.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
92×add-sqr-sqrt
83×*-un-lft-identity add-cube-cbrt
43×associate-*l*
31×add-cbrt-cube add-exp-log
16×associate-/l*
13×cbrt-undiv div-exp
10×div-inv
6×prod-exp cbrt-unprod
5×pow1
4×associate-/r*
3×associate-*r* add-log-exp unswap-sqr
2×clear-num frac-2neg associate-*l/
1×pow-prod-down associate-/r/ *-commutative associate-/l/
Counts
3 → 161
Calls
3 calls:
41.0ms
(* (/ (/ (sin x) 8.0) (sin (* x 0.5))) 3.0)
42.0ms
(/ (sin (* x 0.5)) (* (/ (/ (sin x) 8.0) (sin (* x 0.5))) 3.0))
13.0ms
(/ (/ (sin x) 8.0) (sin (* x 0.5)))

series290.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* (/ (/ (sin x) 8.0) (sin (* x 0.5))) 3.0)
116.0ms
(/ (sin (* x 0.5)) (* (/ (/ (sin x) 8.0) (sin (* x 0.5))) 3.0))
85.0ms
(/ (/ (sin x) 8.0) (sin (* x 0.5)))

simplify1.7s

Counts
170 → 170
Iterations
IterNodes
done5001
23964
1744
0288

prune986.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 8.0 (/ (sin (* x 0.5)) 3.0))
0.1b
(/ (sin (* x 0.5)) 3.0)
0.1b
(/ (sin (* x 0.5)) (sin x))
0.2b
(* (/ (sin (* x 0.5)) (sin x)) (* 8.0 (/ (sin (* x 0.5)) 3.0)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
37×times-frac
35×*-un-lft-identity add-cube-cbrt
34×add-cbrt-cube add-exp-log
16×associate-*l*
14×associate-*r*
12×prod-exp cbrt-unprod
11×pow1
8×cbrt-undiv div-exp
6×associate-/r* associate-/l*
4×pow-prod-down associate-*r/ div-inv add-log-exp
2×clear-num frac-2neg *-commutative unswap-sqr
1×frac-times associate-*l/
Counts
4 → 125
Calls
4 calls:
12.0ms
(* 8.0 (/ (sin (* x 0.5)) 3.0))
10.0ms
(/ (sin (* x 0.5)) 3.0)
14.0ms
(/ (sin (* x 0.5)) (sin x))
48.0ms
(* (/ (sin (* x 0.5)) (sin x)) (* 8.0 (/ (sin (* x 0.5)) 3.0)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 8.0 (/ (sin (* x 0.5)) 3.0))
48.0ms
(/ (sin (* x 0.5)) 3.0)
48.0ms
(/ (sin (* x 0.5)) (sin x))
84.0ms
(* (/ (sin (* x 0.5)) (sin x)) (* 8.0 (/ (sin (* x 0.5)) 3.0)))

simplify1.2s

Counts
137 → 137
Iterations
IterNodes
done5000
22422
1521
0205

prune662.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite364.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log
68×times-frac
52×add-cbrt-cube
50×add-sqr-sqrt
39×*-un-lft-identity add-cube-cbrt
28×associate-*l*
27×cbrt-undiv div-exp
22×prod-exp cbrt-unprod
11×pow1
10×div-inv associate-/l*
7×associate-*r*
5×cbrt-prod unswap-sqr
4×associate-/r* pow-prod-down add-log-exp
2×clear-num frac-2neg associate-*l/ *-commutative
1×associate-/r/ associate-/l/
Counts
4 → 154
Calls
4 calls:
41.0ms
(* (sin x) (* (cbrt 3.0) (cbrt 3.0)))
118.0ms
(/ (sin (* x 0.5)) (* (/ (/ (* (sin x) (* (cbrt 3.0) (cbrt 3.0))) 8.0) (sin (* x 0.5))) (cbrt 3.0)))
43.0ms
(/ (/ (* (sin x) (* (cbrt 3.0) (cbrt 3.0))) 8.0) (sin (* x 0.5)))
149.0ms
(* (/ (/ (* (sin x) (* (cbrt 3.0) (cbrt 3.0))) 8.0) (sin (* x 0.5))) (cbrt 3.0))

series867.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (sin x) (* (cbrt 3.0) (cbrt 3.0)))
283.0ms
(/ (sin (* x 0.5)) (* (/ (/ (* (sin x) (* (cbrt 3.0) (cbrt 3.0))) 8.0) (sin (* x 0.5))) (cbrt 3.0)))
219.0ms
(/ (/ (* (sin x) (* (cbrt 3.0) (cbrt 3.0))) 8.0) (sin (* x 0.5)))
242.0ms
(* (/ (/ (* (sin x) (* (cbrt 3.0) (cbrt 3.0))) 8.0) (sin (* x 0.5))) (cbrt 3.0))

simplify546.0ms

Counts
166 → 166
Iterations
IterNodes
done5000
1801
0286

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.0s1464×body1280valid
1.3s1242×body640valid
738.0ms4376×body80valid
330.0ms591×body320valid
153.0ms327×body160valid