Details

Time bar (total: 11.9s)

sample33.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
210
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 47
Calls
2 calls:
28.0ms
(+ (exp x) (exp (- x)))
31.0ms
(/ 2 (+ (exp x) (exp (- x))))

series105.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (exp x) (exp (- x)))
62.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.8s

Counts
53 → 53
Iterations
IterNodes
43084
31094
2488
1197
090

prune248.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ 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))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
18×cbrt-prod
15×distribute-lft-out
12×associate-/r*
10×add-cbrt-cube add-exp-log
9×associate-/l*
8×associate-/r/
4×pow1 flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
1×cbrt-div pow1/3
Counts
4 → 130
Calls
4 calls:
8.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
24.0ms
(/ 2 (+ (exp x) (exp (- x))))
15.0ms
(/ 2 (+ (exp x) (exp (- x))))
21.0ms
(/ 2 (+ (exp x) (exp (- x))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
39.0ms
(/ 2 (+ (exp x) (exp (- x))))
41.0ms
(/ 2 (+ (exp x) (exp (- x))))
46.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify4.2s

Counts
142 → 142
Iterations
IterNodes
47442
31895
2659
1261
0130

prune706.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))))
0.5b
(cbrt (+ (exp x) (exp (- x))))
0.5b
(cbrt (+ (exp x) (exp (- x))))
0.5b
(cbrt (+ (exp x) (exp (- x))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
70×times-frac
55×*-un-lft-identity
48×associate-*r*
42×cbrt-prod
37×add-cube-cbrt
35×sqrt-prod
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube associate-*l*
15×unswap-sqr
10×flip3-+ associate-/r/ flip-+
9×distribute-lft-out
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1
5×frac-times
4×insert-posit16 add-log-exp
3×pow1/3 associate-*l/ associate-*r/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 151
Calls
4 calls:
125.0ms
(* (/ (sqrt 2) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))))
7.0ms
(cbrt (+ (exp x) (exp (- x))))
7.0ms
(cbrt (+ (exp x) (exp (- x))))
7.0ms
(cbrt (+ (exp x) (exp (- x))))

series654.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (/ (sqrt 2) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))))
202.0ms
(cbrt (+ (exp x) (exp (- x))))
169.0ms
(cbrt (+ (exp x) (exp (- x))))
163.0ms
(cbrt (+ (exp x) (exp (- x))))

simplify1.1s

Counts
163 → 163
Iterations
IterNodes
22689
1679
0219

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify8.0ms

Iterations
IterNodes
220
120
017

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid