Details

Time bar (total: 7.0s)

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
110
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite38.0ms

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-+ log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 52
Calls
2 calls:
18.0ms
(+ (exp x) (exp (- x)))
18.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series66.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (exp x) (exp (- x)))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.8s

Counts
58 → 58
Iterations
IterNodes
done5000
34150
2737
1210
094

prune278.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ -1 (exp x)) (exp x))
0.0b
(/ (- 2.0) (- (/ -1 (exp x)) (exp x)))
0.0b
(/ -1 (exp x))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
144×add-sqr-sqrt
117×times-frac
108×*-un-lft-identity
84×add-cube-cbrt
39×prod-diff
24×difference-of-squares
21×distribute-lft-neg-in distribute-rgt-neg-in
13×fma-neg associate-/l*
12×distribute-lft-out--
9×associate-/r*
7×neg-mul-1 add-cbrt-cube
6×add-exp-log div-inv
5×add-log-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp associate-/r/ flip--
1×neg-sub0 sub-neg diff-log div-sub distribute-frac-neg
Counts
3 → 192
Calls
3 calls:
52.0ms
(- (/ -1 (exp x)) (exp x))
51.0ms
(/ (- 2.0) (- (/ -1 (exp x)) (exp x)))
9.0ms
(/ -1 (exp x))

series118.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (/ -1 (exp x)) (exp x))
52.0ms
(/ (- 2.0) (- (/ -1 (exp x)) (exp x)))
11.0ms
(/ -1 (exp x))

simplify1.1s

Counts
201 → 201
Iterations
IterNodes
done5000
22233
1612
0274

prune626.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (- (/ -1 (exp x)) (exp x)))
0.0b
(/ 2.0 (- (/ -1 (exp x)) (exp x)))
0.0b
(/ -1 (exp x))
0.0b
(/ -1 (exp x))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
62×times-frac
58×*-un-lft-identity
42×add-cube-cbrt
18×associate-/r*
16×difference-of-squares
12×add-cbrt-cube associate-/l*
10×add-exp-log
8×distribute-lft-out--
4×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp associate-/r/ log1p-expm1-u div-inv add-log-exp
2×flip3-- flip--
Counts
4 → 144
Calls
4 calls:
45.0ms
(/ 2.0 (- (/ -1 (exp x)) (exp x)))
39.0ms
(/ 2.0 (- (/ -1 (exp x)) (exp x)))
9.0ms
(/ -1 (exp x))
12.0ms
(/ -1 (exp x))

series173.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ 2.0 (- (/ -1 (exp x)) (exp x)))
65.0ms
(/ 2.0 (- (/ -1 (exp x)) (exp x)))
17.0ms
(/ -1 (exp x))
17.0ms
(/ -1 (exp x))

simplify1.2s

Counts
156 → 156
Iterations
IterNodes
done5001
32833
2727
1279
0143

prune759.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample553.0ms

Algorithm
intervals
Results
359.0ms8000×body80valid