Details

Time bar (total: 20.3s)

sample138.0ms

Algorithm
intervals
Results
48.0ms96×body1280valid
26.0ms48×body320valid
21.0ms71×body640valid
19.0ms249×body80valid
5.0ms28×body160valid

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2287
3567
4967
51377
62117
73937
89427
917617
1020517
1121717
done21717

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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×cosh-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:
3.0ms
(cosh x)
25.0ms
(* (cosh x) (/ (sin y) y))
15.0ms
(/ (sin y) y)

series199.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(cosh x)
100.0ms
(* (cosh x) (/ (sin y) y))
31.0ms
(/ (sin y) y)

simplify2.4s

Counts
78 → 78
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0130729
1278697
2879629
33106629
done5000617

prune201.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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×cosh-def associate-*r* 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
(cosh x)
22.0ms
(* (/ (sin y) y) (cosh x))
9.0ms
(/ (sin y) y)

series222.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(cosh x)
126.0ms
(* (/ (sin y) y) (cosh x))
33.0ms
(/ (sin y) y)

simplify2.3s

Counts
78 → 78
Iterations

Useful iterations: 2 (221.0ms)

IterNodesCost
0130712
1291686
2798622
32533622
done5001622

prune315.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.1b
(/ y (sin y))
0.2b
(/ (+ (exp x) (exp (- x))) (/ y (sin y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
90×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
16×associate-/r*
15×distribute-lft-out
10×add-exp-log add-cbrt-cube
7×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sum-log associate-/r/
Counts
3 → 125
Calls
3 calls:
12.0ms
(+ (exp x) (exp (- x)))
6.0ms
(/ y (sin y))
47.0ms
(/ (+ (exp x) (exp (- x))) (/ y (sin y)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (exp x) (exp (- x)))
29.0ms
(/ y (sin y))
84.0ms
(/ (+ (exp x) (exp (- x))) (/ y (sin y)))

simplify3.0s

Counts
134 → 134
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02082311
14622194
214162072
342072069
done50002069

prune528.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp (- x)) (exp x))
0.0b
(/ (+ (exp (- x)) (exp x)) y)
0.2b
(/ 1 (sin y))
0.3b
(/ (/ (+ (exp (- x)) (exp x)) y) (/ 1 (sin y)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
550×times-frac
346×*-un-lft-identity
252×add-sqr-sqrt add-cube-cbrt
47×distribute-lft-out
34×div-inv
32×add-exp-log
23×associate-/l*
20×add-cbrt-cube
19×div-exp associate-/r*
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/
2×flip3-+ flip-+
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
4 → 337
Calls
4 calls:
21.0ms
(+ (exp (- x)) (exp x))
65.0ms
(/ (+ (exp (- x)) (exp x)) y)
7.0ms
(/ 1 (sin y))
71.0ms
(/ (/ (+ (exp (- x)) (exp x)) y) (/ 1 (sin y)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (exp (- x)) (exp x))
70.0ms
(/ (+ (exp (- x)) (exp x)) y)
16.0ms
(/ 1 (sin y))
104.0ms
(/ (/ (+ (exp (- x)) (exp x)) y) (/ 1 (sin y)))

simplify3.1s

Counts
349 → 349
Iterations

Useful iterations: done (3.1s)

IterNodesCost
04798441
112817211
228666693
done50016679

prune790.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes3.0ms