Details

Time bar (total: 27.0s)

sample164.0ms

Algorithm
intervals
Results
48.0ms92×body1280valid
33.0ms99×body640valid
27.0ms16×body160valid
22.0ms292×body80valid
10.0ms42×body320valid

simplify14.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2307
3677
41357
52567
64607
79777
818647
932637
1044457
done50017

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(sinh y)
21.0ms
(* (cos x) (/ (sinh y) y))
14.0ms
(/ (sinh y) y)

series332.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(sinh y)
145.0ms
(* (cos x) (/ (sinh y) y))
115.0ms
(/ (sinh y) y)

simplify2.7s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
0138730
1313687
21011621
33474609
done5000609

prune245.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ 1 (/ y (sinh y)))
0.0b
(* (cos x) (/ 1 (/ y (sinh y))))
0.0b
(/ y (sinh y))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 192
Calls
4 calls:
1.0ms
(sinh y)
11.0ms
(/ 1 (/ y (sinh y)))
61.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
12.0ms
(/ y (sinh y))

series495.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sinh y)
136.0ms
(/ 1 (/ y (sinh y)))
148.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
115.0ms
(/ y (sinh y))

simplify1.9s

Counts
204 → 204
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02892519
16592004
215731757
done50001713

prune616.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
2.0ms
(sinh y)
25.0ms
(/ (cos x) (/ y (sinh y)))
12.0ms
(/ y (sinh y))

series356.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(sinh y)
133.0ms
(/ (cos x) (/ y (sinh y)))
135.0ms
(/ y (sinh y))

simplify1.6s

Counts
119 → 119
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02171546
14551454
214581379
done50001357

prune449.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×sinh-def cbrt-div
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt y)
3.0ms
(cbrt (sinh y))
3.0ms
(cbrt (sinh y))
3.0ms
(cbrt (sinh y))

series1.1s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt y)
249.0ms
(cbrt (sinh y))
282.0ms
(cbrt (sinh y))
271.0ms
(cbrt (sinh y))

simplify2.4s

Counts
59 → 59
Iterations

Useful iterations: 3 (158.0ms)

IterNodesCost
062407
1111382
2213358
3401346
4925346
52804346
done5001346

prune232.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes5.0ms