Details

Time bar (total: 27.4s)

sample111.0ms

Algorithm
intervals
Results
27.0ms352×body80valid
26.0ms83×body640valid
24.0ms51×body1280valid
10.0ms39×body320valid
3.0ms16×body160valid

simplify13.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2327
3697
41467
52877
65197
711247
822297
939087
done50007

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.7b
(/ (* (sin x) (sinh y)) x)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u add-log-exp
cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 55
Calls
3 calls:
3.0ms
(sinh y)
23.0ms
(* (sin x) (sinh y))
27.0ms
(/ (* (sin x) (sinh y)) x)

series384.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(sinh y)
135.0ms
(* (sin x) (sinh y))
130.0ms
(/ (* (sin x) (sinh y)) x)

simplify1.8s

Counts
64 → 64
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0123572
1282546
21023475
done5000455

prune231.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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:
3.0ms
(sinh y)
15.0ms
(/ (sinh y) x)
42.0ms
(* (sin x) (/ (sinh y) x))

series344.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(sinh y)
110.0ms
(/ (sinh y) x)
159.0ms
(* (sin x) (/ (sinh y) x))

simplify2.8s

Counts
83 → 83
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0146770
1332727
21054656
33540655
done5001642

prune339.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.8b
(/ (sin x) (/ x (sinh y)))

rewrite30.0ms

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:
1.0ms
(sinh y)
6.0ms
(/ x (sinh y))
18.0ms
(/ (sin x) (/ x (sinh y)))

series428.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(sinh y)
181.0ms
(/ x (sinh y))
133.0ms
(/ (sin x) (/ x (sinh y)))

simplify3.6s

Counts
125 → 125
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02211576
14671485
214701406
349071388
done50001387

prune577.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ 1 (sinh y))
0.1b
(/ (sin x) x)
0.1b
(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
461×times-frac
223×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-exp-log div-inv
20×associate-/r* add-cbrt-cube
19×div-exp associate-/l*
16×sinh-def associate-/r/
10×cbrt-undiv
pow1
expm1-log1p-u log1p-expm1-u add-log-exp
rec-exp frac-2neg 1-exp clear-num
pow-flip associate-/l/ inv-pow
Counts
4 → 308
Calls
4 calls:
3.0ms
(sinh y)
12.0ms
(/ 1 (sinh y))
17.0ms
(/ (sin x) x)
32.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sinh y)
113.0ms
(/ 1 (sinh y))
43.0ms
(/ (sin x) x)
138.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify1.8s

Counts
320 → 320
Iterations

Useful iterations: done (1.8s)

IterNodesCost
05075859
113384811
231924422
done50004413

prune788.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.0ms