Details

Time bar (total: 24.0s)

sample126.0ms

Algorithm
intervals
Results
51.0ms92×body1280valid
26.0ms99×body640valid
20.0ms292×body80valid
8.0ms42×body320valid
2.0ms16×body160valid

simplify12.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2307
3677
41377
52657
64827
710417
819877
934847
1047307
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
6.0ms
(sinh y)
17.0ms
(* (cos x) (/ (sinh y) y))
7.0ms
(/ (sinh y) y)

series258.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
99.0ms
(* (cos x) (/ (sinh y) y))
95.0ms
(/ (sinh y) y)

simplify2.7s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0144762
1328714
21036648
33619635
done5001635

prune287.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))

rewrite95.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 200
Calls
4 calls:
2.0ms
(sinh y)
17.0ms
(/ 1 (/ y (sinh y)))
54.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
9.0ms
(/ y (sinh y))

series479.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(sinh y)
107.0ms
(/ 1 (/ y (sinh y)))
139.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
122.0ms
(/ y (sinh y))

simplify1.6s

Counts
212 → 212
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02972569
16792044
216111793
done50011747

prune525.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))

rewrite46.0ms

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 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
1.0ms
(sinh y)
30.0ms
(/ (cos x) (/ y (sinh y)))
10.0ms
(/ y (sinh y))

series355.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(sinh y)
152.0ms
(/ (cos x) (/ y (sinh y)))
118.0ms
(/ y (sinh y))

simplify1.2s

Counts
125 → 125
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02231578
14701482
214971407
done50001383

prune452.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×sinh-def cbrt-div
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt y)
8.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))

series1.0s

Counts
4 → 12
Calls
4 calls:
327.0ms
(cbrt y)
242.0ms
(cbrt (sinh y))
245.0ms
(cbrt (sinh y))
229.0ms
(cbrt (sinh y))

simplify2.2s

Counts
67 → 67
Iterations

Useful iterations: 3 (181.0ms)

IterNodesCost
066437
1116409
2223385
3431370
41011370
53024370
done5000370

prune378.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes1.0ms