Details

Time bar (total: 12.7s)

sample21.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify14.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
Slowest
23.0ms
(/ 2 (+ (exp x) (exp (- x))))

series53.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
53.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.6s

Counts
37 → 37

prune310.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
102×times-frac
96×cbrt-prod
95×add-sqr-sqrt
71×add-cube-cbrt
30×distribute-lft-out
27×swap-sqr
21×associate-*r* associate-*l*
14×associate-/r/
12×associate-/r* add-exp-log
11×pow1
10×add-cbrt-cube
9×associate-/l* unswap-sqr
7×flip3-+ flip-+ div-inv
6×pow1/3
4×cbrt-div insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 202
Calls
4 calls:
Slowest
70.0ms
(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
17.0ms
(/ 2 (+ (exp x) (exp (- x))))
17.0ms
(/ 2 (+ (exp x) (exp (- x))))
17.0ms
(/ 2 (+ (exp x) (exp (- x))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
385.0ms
(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
55.0ms
(/ 2 (+ (exp x) (exp (- x))))
51.0ms
(/ 2 (+ (exp x) (exp (- x))))
45.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.5s

Counts
214 → 214

prune3.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
133×*-un-lft-identity
100×times-frac
79×add-sqr-sqrt
67×add-cube-cbrt
30×distribute-lft-out
24×swap-sqr
22×add-cbrt-cube add-exp-log
18×associate-*r* associate-*l*
14×associate-/r/
12×associate-/r*
11×pow1
9×associate-/l*
7×cbrt-undiv flip3-+ div-exp flip-+ div-inv
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×clear-num frac-2neg
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 191
Calls
4 calls:
Slowest
117.0ms
(* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
33.0ms
(/ 2 (+ (exp x) (exp (- x))))
32.0ms
(/ 2 (+ (exp x) (exp (- x))))
29.0ms
(/ 2 (+ (exp x) (exp (- x))))

series265.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
72.0ms
(* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
68.0ms
(/ 2 (+ (exp x) (exp (- x))))
64.0ms
(/ 2 (+ (exp x) (exp (- x))))
61.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify729.0ms

Counts
203 → 203

prune3.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample1.1s

Algorithm
intervals
Results
994.0ms8000×body80valid