Details

Time bar (total: 26.7s)

sample71.0ms

Algorithm
intervals
Results
26.0ms98×body1280valid
14.0ms87×body640valid
10.0ms286×body80valid
5.0ms38×body320valid
2.0ms23×body160valid

simplify16.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1157
2297
3647
41367
52507
64647
710067
821187
930157
1042367
1147157
1247597
1347707
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(/ (sinh y) y)
0.0b
(sinh y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
pow1
expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
8.0ms
(* (cos x) (/ (sinh y) y))
3.0ms
(/ (sinh y) y)
1.0ms
(sinh y)

series260.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(* (cos x) (/ (sinh y) y))
93.0ms
(/ (sinh y) y)
67.0ms
(sinh y)

simplify2.7s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
0144762
1337714
21070648
34389635
done5000635

prune216.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (cos x) (/ y (sinh y)))
0.0b
(/ y (sinh y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
0.0ms
(sinh y)
7.0ms
(/ (cos x) (/ y (sinh y)))
2.0ms
(/ y (sinh y))

series264.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(sinh y)
94.0ms
(/ (cos x) (/ y (sinh y)))
102.0ms
(/ y (sinh y))

simplify835.0ms

Counts
125 → 125
Iterations

Useful iterations: done (831.0ms)

IterNodesCost
02231578
14901482
215431407
done50011393

prune354.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cos x) (/ y (cbrt (pow (sinh y) 3))))
0.0b
(/ y (cbrt (pow (sinh y) 3)))
0.0b
(pow (sinh y) 3)
38.7b
(cbrt (pow (sinh y) 3))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
375×times-frac
205×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
204×cbrt-prod
65×associate-/r*
54×unpow-prod-down cube-prod
18×cube-mult unpow3 sqr-pow
12×add-exp-log
10×add-cbrt-cube
cube-div sinh-def
cbrt-div associate-/r/ div-inv associate-/l*
pow1
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
pow-unpow
frac-2neg clear-num
pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 348
Calls
4 calls:
17.0ms
(/ (cos x) (/ y (cbrt (pow (sinh y) 3))))
6.0ms
(/ y (cbrt (pow (sinh y) 3)))
2.0ms
(pow (sinh y) 3)
2.0ms
(cbrt (pow (sinh y) 3))

series366.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (cos x) (/ y (cbrt (pow (sinh y) 3))))
103.0ms
(/ y (cbrt (pow (sinh y) 3)))
98.0ms
(pow (sinh y) 3)
65.0ms
(cbrt (pow (sinh y) 3))

simplify1.3s

Counts
360 → 360
Iterations

Useful iterations: 2 (701.0ms)

IterNodesCost
04716547
110184833
231134632
done50004632

prune717.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1117
done117

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s2984×body1280valid
436.0ms2479×body640valid
337.0ms8509×body80valid
168.0ms1290×body320valid
54.0ms634×body160valid