Details

Time bar (total: 9.9s)

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
210
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×fma-def associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 54
Calls
2 calls:
10.0ms
(+ (exp x) (exp (- x)))
32.0ms
(/ 2 (+ (exp x) (exp (- x))))

series92.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (exp x) (exp (- x)))
49.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify3.4s

Counts
60 → 60
Iterations
IterNodes
42931
31184
2523
1206
094

prune287.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))))

rewrite88.0ms

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×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
1×cbrt-div pow1/3
Counts
4 → 138
Calls
4 calls:
8.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
16.0ms
(/ 2 (+ (exp x) (exp (- x))))
33.0ms
(/ 2 (+ (exp x) (exp (- x))))
29.0ms
(/ 2 (+ (exp x) (exp (- x))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
39.0ms
(/ 2 (+ (exp x) (exp (- x))))
48.0ms
(/ 2 (+ (exp x) (exp (- x))))
48.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify936.0ms

Counts
150 → 150
Iterations
IterNodes
32061
2687
1270
0134

prune743.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize83.0ms

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))))

rewrite224.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l/ associate-*r/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 159
Calls
4 calls:
189.0ms
(* (/ (sqrt 2) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))))
13.0ms
(cbrt (+ (exp x) (exp (- x))))
7.0ms
(cbrt (+ (exp x) (exp (- x))))
12.0ms
(cbrt (+ (exp x) (exp (- x))))

series646.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (/ (sqrt 2) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))))
171.0ms
(cbrt (+ (exp x) (exp (- x))))
212.0ms
(cbrt (+ (exp x) (exp (- x))))
153.0ms
(cbrt (+ (exp x) (exp (- x))))

simplify978.0ms

Counts
171 → 171
Iterations
IterNodes
22767
1692
0223

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify7.0ms

Iterations
IterNodes
220
120
017

end0.0ms

sample747.0ms

Algorithm
intervals
Results
631.0ms8000×body80valid