Details

Time bar (total: 29.2s)

sample137.0ms

Algorithm
intervals
Results
44.0ms83×body640valid
30.0ms352×body80valid
29.0ms51×body1280valid
10.0ms39×body320valid
3.0ms16×body160valid

simplify14.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2327
3697
41447
52727
64827
710527
820947
936387
1048587
done50007

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize15.0ms

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)

rewrite64.0ms

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 associate-*r/ div-exp 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:
2.0ms
(sinh y)
29.0ms
(* (sin x) (sinh y))
30.0ms
(/ (* (sin x) (sinh y)) x)

series420.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(sinh y)
137.0ms
(* (sin x) (sinh y))
181.0ms
(/ (* (sin x) (sinh y)) x)

simplify4.7s

Counts
58 → 58
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
0117538
1270516
2984445
34845419
done5000419

prune206.0ms

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

rewrite67.0ms

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×associate-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
3.0ms
(sinh y)
15.0ms
(/ (sinh y) x)
44.0ms
(* (/ (sinh y) x) (sin x))

series344.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(sinh y)
136.0ms
(/ (sinh y) x)
116.0ms
(* (/ (sinh y) x) (sin x))

simplify2.5s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0141721
1324694
2897622
32878620
done5000620

prune309.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

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×sinh-def associate-*l* associate-/r* 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 → 69
Calls
3 calls:
1.0ms
(sinh y)
19.0ms
(* (sinh y) (/ (sin x) x))
9.0ms
(/ (sin x) x)

series282.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(sinh y)
135.0ms
(* (sinh y) (/ (sin x) x))
56.0ms
(/ (sin x) x)

simplify2.8s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
0134733
1299700
2999631
33632629
done5000629

prune224.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
104×add-sqr-sqrt
92×*-un-lft-identity
90×add-cube-cbrt
44×associate-*r*
36×add-exp-log
20×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×sinh-def associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 186
Calls
4 calls:
3.0ms
(sinh y)
77.0ms
(* (sinh y) (/ 1 (/ x (sin x))))
11.0ms
(/ x (sin x))
12.0ms
(/ 1 (/ x (sin x)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sinh y)
125.0ms
(* (sinh y) (/ 1 (/ x (sin x))))
47.0ms
(/ x (sin x))
36.0ms
(/ 1 (/ x (sin x)))

simplify1.6s

Counts
198 → 198
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02732404
16241926
215631674
done50001636

prune501.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.0ms