Details

Time bar (total: 29.1s)

sample140.0ms

Algorithm
intervals
Results
52.0ms92×body1280valid
33.0ms99×body640valid
21.0ms291×body80valid
9.0ms42×body320valid
3.0ms17×body160valid

simplify14.0s

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:
3.0ms
(sinh y)
21.0ms
(/ (sinh y) y)
18.0ms
(* (sin x) (/ (sinh y) y))

series452.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(sinh y)
163.0ms
(/ (sinh y) y)
160.0ms
(* (sin x) (/ (sinh y) y))

simplify2.7s

Counts
77 → 77
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0140732
1322689
21032623
33533621
done5000609

prune279.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (pow (sinh y) 1) y)
0.0b
(* (sin x) (/ (pow (sinh y) 1) y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
44×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
25×associate-*r*
22×unpow-prod-down
18×add-exp-log
10×add-cbrt-cube
8×sqr-pow
7×associate-/l*
6×div-exp
5×pow1
4×prod-exp unswap-sqr
3×associate-*l* associate-/r* add-log-exp
2×cbrt-undiv pow-to-exp pow-exp cbrt-unprod div-inv
1×sinh-def frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 101
Calls
3 calls:
1.0ms
(sinh y)
20.0ms
(/ (pow (sinh y) 1) y)
25.0ms
(* (sin x) (/ (pow (sinh y) 1) y))

series409.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(sinh y)
129.0ms
(/ (pow (sinh y) 1) y)
174.0ms
(* (sin x) (/ (pow (sinh y) 1) y))

simplify1.5s

Counts
110 → 110
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01911361
13971031
21250930
done5001928

prune381.0ms

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
(* (sinh y) (sin x))
13.8b
(/ (* (sinh y) (sin x)) y)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
3.0ms
(sinh y)
24.0ms
(* (sinh y) (sin x))
27.0ms
(/ (* (sinh y) (sin x)) y)

series347.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(sinh y)
133.0ms
(* (sinh y) (sin x))
113.0ms
(/ (* (sinh y) (sin x)) y)

simplify4.5s

Counts
58 → 58
Iterations

Useful iterations: 3 (2.5s)

IterNodesCost
0117538
1269516
2968445
34772443
done5000443

prune165.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(/ y (sin x))
0.2b
(/ (sinh y) (/ y (sin x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×sinh-def frac-2neg clear-num
1×associate-/r/ associate-/l/
Counts
3 → 106
Calls
3 calls:
3.0ms
(sinh y)
11.0ms
(/ y (sin x))
20.0ms
(/ (sinh y) (/ y (sin x)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(sinh y)
79.0ms
(/ y (sin x))
118.0ms
(/ (sinh y) (/ y (sin x)))

simplify3.3s

Counts
115 → 115
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02021462
14361375
214031300
349471296
done50001296

prune369.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0ms