Details

Time bar (total: 3.8s)

sample49.0ms

Algorithm
intervals
Results
36.0ms495×body80valid

simplify99.0ms

Calls
1 calls:
Slowest
99.0ms
(exp (- (- 1 (* x x))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (- (- 1 (* x x))))
0.0b
(- 1 (* x x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×exp-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in
expm1-log1p-u pow1 distribute-neg-in sub-neg add-cbrt-cube exp-sum add-exp-log insert-posit16 log1p-expm1-u rem-exp-log
neg-sub0 exp-neg neg-mul-1 flip3-- exp-diff neg-log flip--
Calls
2 calls:
Slowest
4.0ms
(exp (- (- 1 (* x x))))
1.0ms
(- 1 (* x x))

series38.0ms

Calls
2 calls:
Slowest
21.0ms
(exp (- (- 1 (* x x))))
17.0ms
(- 1 (* x x))

simplify544.0ms

Calls
20 calls:
Slowest
147.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
52.0ms
(exp (sqrt (- (- 1 (* x x)))))
51.0ms
(exp (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x))))))
49.0ms
(- (- 1 (* x x)))
43.0ms
(exp (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))))

prune340.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow E (- (- 1 (* x x))))
0.0b
(- 1 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×pow-unpow
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
distribute-lft-neg-in distribute-rgt-neg-in
expm1-log1p-u pow1 unpow-prod-up distribute-neg-in sub-neg add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
neg-sub0 pow-to-exp pow-neg neg-mul-1 flip3-- flip-- pow-sub
Calls
2 calls:
Slowest
2.0ms
(pow E (- (- 1 (* x x))))
1.0ms
(- 1 (* x x))

series65.0ms

Calls
2 calls:
Slowest
48.0ms
(pow E (- (- 1 (* x x))))
17.0ms
(- 1 (* x x))

simplify702.0ms

Calls
20 calls:
Slowest
162.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
57.0ms
(- (- 1 (* x x)))
46.0ms
(- (- 1 (* x x)))
43.0ms
(exp (- (pow x 2) 1))
41.0ms
(sqrt (- (- 1 (* x x))))

prune367.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.4s15838×body80valid