Details

Time bar (total: 12.7s)

sample160.0ms

Algorithm
intervals
Results
71.0ms96×body1280valid
26.0ms79×body640valid
23.0ms263×body80valid
8.0ms30×body320valid
4.0ms21×body160valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5001
73986
6802
5260
4135
367
230
115
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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:
23.0ms
(* (sin x) (/ (sinh y) y))
2.0ms
(sinh y)
9.0ms
(/ (sinh y) y)

series355.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(* (sin x) (/ (sinh y) y))
88.0ms
(sinh y)
144.0ms
(/ (sinh y) y)

simplify1.0s

Counts
77 → 77
Iterations
IterNodes
done5000
21729
1350
0140

prune445.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-div
10×associate-*r/
add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt frac-times *-un-lft-identity associate-*l/ add-cube-cbrt
add-log-exp
sinh-def associate-*l*
associate-*r* *-commutative
Counts
4 → 52
Calls
4 calls:
1.0ms
(sinh y)
2.0ms
(sinh y)
2.0ms
(sinh y)
142.0ms
(* (sin x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sinh y)
72.0ms
(sinh y)
86.0ms
(sinh y)
153.0ms
(* (sin x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))

simplify2.2s

Counts
64 → 64
Iterations
IterNodes
done5000
34860
2909
1273
0106

prune342.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.2s2948×body1280valid
1.5s2516×body640valid
839.0ms8512×body80valid
280.0ms1204×body320valid
96.0ms635×body160valid