Details

Time bar (total: 19.8s)

sample100.0ms

Algorithm
intervals
Results
32.0ms357×body80valid
26.0ms49×body1280valid
20.0ms57×body640valid
6.0ms25×body320valid
3.0ms15×body160valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5000
71703
6620
5247
4128
362
230
115
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.5b
(/ (* (sin x) (sinh y)) x)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×times-frac
30×*-un-lft-identity add-cube-cbrt
15×associate-*r* associate-*l*
12×associate-/l*
10×add-cbrt-cube add-exp-log
5×pow1 *-commutative unswap-sqr
3×sinh-def associate-/r* insert-posit16 add-log-exp
2×cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod
1×clear-num frac-2neg pow-prod-down div-inv associate-/l/
Counts
3 → 96
Calls
3 calls:
1.0ms
(sinh y)
19.0ms
(* (sin x) (sinh y))
33.0ms
(/ (* (sin x) (sinh y)) x)

series375.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(sinh y)
132.0ms
(* (sin x) (sinh y))
133.0ms
(/ (* (sin x) (sinh y)) x)

simplify1.4s

Counts
105 → 105
Iterations
IterNodes
done5000
21294
1416
0179

prune421.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(/ (sinh y) (/ x (sin x)))
0.1b
(/ x (sin x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
55×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-/r*
10×add-cbrt-cube add-exp-log
9×associate-/r/ associate-/l*
6×div-inv
4×cbrt-undiv div-exp
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×sinh-def
1×associate-/l/
Counts
3 → 117
Calls
3 calls:
3.0ms
(sinh y)
16.0ms
(/ (sinh y) (/ x (sin x)))
6.0ms
(/ x (sin x))

series262.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(sinh y)
146.0ms
(/ (sinh y) (/ x (sin x)))
37.0ms
(/ x (sin x))

simplify1.6s

Counts
126 → 126
Iterations
IterNodes
done5000
21564
1520
0212

prune584.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))

series647.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt x)
134.0ms
(cbrt (sin x))
118.0ms
(cbrt (sin x))
128.0ms
(cbrt (sin x))

simplify2.2s

Counts
60 → 60
Iterations
IterNodes
done5002
54163
41430
3507
2220
198
051

prune377.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
1.0b
(/ (sin x) (/ x (sinh y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
20×associate-/r*
14×associate-/r/
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×sinh-def div-inv
4×cbrt-undiv div-exp
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
3 → 121
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(/ x (sinh y))
28.0ms
(/ (sin x) (/ x (sinh y)))

series363.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(sinh y)
137.0ms
(/ x (sinh y))
157.0ms
(/ (sin x) (/ x (sinh y)))

simplify1.6s

Counts
130 → 130
Iterations
IterNodes
done5002
21650
1539
0223

prune558.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.1s1750×body1280valid
1.5s10387×body80valid
1.4s1788×body640valid
633.0ms1130×body320valid
168.0ms628×body160valid