Details

Time bar (total: 16.3s)

sample129.0ms

Algorithm
intervals
Results
38.0ms65×body1280valid
27.0ms355×body80valid
20.0ms58×body640valid
10.0ms44×body320valid
5.0ms30×body160valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5002
74266
6847
5280
4144
369
232
115
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.1b
(/ (* (sin x) (sinh y)) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
pow1
sinh-def associate-/r* times-frac associate-*r* associate-*l* add-log-exp
cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod
clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
3 → 49
Calls
3 calls:
2.0ms
(sinh y)
16.0ms
(* (sin x) (sinh y))
11.0ms
(/ (* (sin x) (sinh y)) x)

series369.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(sinh y)
136.0ms
(* (sin x) (sinh y))
167.0ms
(/ (* (sin x) (sinh y)) x)

simplify824.0ms

Counts
58 → 58
Iterations
IterNodes
done5001
21600
1290
0116

prune275.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.4b
(* (sin x) (/ (sinh y) x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
13×associate-*r*
10×add-cbrt-cube add-exp-log
pow1
associate-/r* associate-*l* associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
6.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
16.0ms
(* (sin x) (/ (sinh y) x))

series295.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(/ (sinh y) x)
67.0ms
(sinh y)
118.0ms
(* (sin x) (/ (sinh y) x))

simplify1.0s

Counts
77 → 77
Iterations
IterNodes
done5001
21619
1341
0140

prune418.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ (sin x) (cbrt x)) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
141×cbrt-prod
22×associate-/l*
add-exp-log
div-inv
associate-/r* add-cbrt-cube
pow1 add-log-exp
cbrt-undiv pow1/3 div-exp
clear-num frac-2neg associate-/l/
Counts
4 → 208
Calls
4 calls:
16.0ms
(/ (/ (sin x) (cbrt x)) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
307.0ms
(/ (/ (sin x) (cbrt x)) (cbrt x))
275.0ms
(cbrt x)
275.0ms
(cbrt x)
299.0ms
(cbrt x)

simplify1.9s

Counts
220 → 220
Iterations
IterNodes
done5000
23913
1735
0298

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
1.2b
(/ (sin x) (/ x (sinh y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×associate-/r*
10×add-cbrt-cube add-exp-log
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 add-log-exp
clear-num frac-2neg
Counts
3 → 110
Calls
3 calls:
2.0ms
(sinh y)
6.0ms
(/ x (sinh y))
14.0ms
(/ (sin x) (/ x (sinh y)))

series352.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(sinh y)
166.0ms
(/ x (sinh y))
115.0ms
(/ (sin x) (/ x (sinh y)))

simplify1.3s

Counts
119 → 119
Iterations
IterNodes
done5000
22660
1533
0215

prune648.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes183.0ms

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
done7
17
06

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.1s1938×body640valid
853.0ms10333×body80valid
847.0ms1796×body1280valid
404.0ms1118×body320valid
126.0ms586×body160valid