Details

Time bar (total: 28.5s)

sample136.0ms

Algorithm
intervals
Results
48.0ms92×body1280valid
34.0ms99×body640valid
22.0ms291×body80valid
9.0ms42×body320valid
3.0ms17×body160valid

simplify14.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 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) y)
0.0b
(* (sin x) (/ (sinh y) y))

rewrite42.0ms

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:
1.0ms
(sinh y)
7.0ms
(/ (sinh y) y)
31.0ms
(* (sin x) (/ (sinh y) y))

series399.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(sinh y)
132.0ms
(/ (sinh y) y)
150.0ms
(* (sin x) (/ (sinh y) y))

simplify3.2s

Counts
83 → 83
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0146764
1337716
21075650
33666649
done5000636

prune294.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u associate-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
3.0ms
(sinh y)
29.0ms
(* (/ (sinh y) y) (sin x))
7.0ms
(/ (sinh y) y)

series347.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(sinh y)
110.0ms
(* (/ (sinh y) y) (sin x))
132.0ms
(/ (sinh y) y)

simplify2.6s

Counts
83 → 83
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0147747
1343711
2953643
33194642
done5000641

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(/ (sin x) y)
0.3b
(* (sinh y) (/ (sin x) y))

rewrite59.0ms

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 sinh-def associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 75
Calls
3 calls:
3.0ms
(sinh y)
18.0ms
(/ (sin x) y)
35.0ms
(* (sinh y) (/ (sin x) y))

series275.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(sinh y)
56.0ms
(/ (sin x) y)
120.0ms
(* (sinh y) (/ (sin x) y))

simplify3.0s

Counts
84 → 84
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0143771
1319731
21074665
33983663
done5002662

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sin x) (/ (sinh y) y))
0.0b
(/ (sinh y) y)
0.1b
(expm1 (* (sin x) (/ (sinh y) y)))
0.1b
(log1p (expm1 (* (sin x) (/ (sinh y) y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
6×pow1
5×log1p-expm1-u
4×expm1-log1p-u add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×sinh-def log1p-udef expm1-log1p frac-2neg log1p-expm1 associate-*r/ pow-prod-down clear-num *-commutative associate-/l/ expm1-udef
Counts
4 → 86
Calls
4 calls:
17.0ms
(* (sin x) (/ (sinh y) y))
17.0ms
(/ (sinh y) y)
1.0ms
(expm1 (* (sin x) (/ (sinh y) y)))
1.0ms
(log1p (expm1 (* (sin x) (/ (sinh y) y))))

series848.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (sin x) (/ (sinh y) y))
96.0ms
(/ (sinh y) y)
384.0ms
(expm1 (* (sin x) (/ (sinh y) y)))
202.0ms
(log1p (expm1 (* (sin x) (/ (sinh y) y))))

simplify1.6s

Counts
98 → 98
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02301301
15801189
221861062
done50001048

prune430.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes0.0ms