Details

sample55.0ms

Algorithm

intervals

Results

42.0ms

547×

body

valid

simplify183.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

183.0ms

(exp (- (- 1 (* x x))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`exp-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
4×	`add-cube-cbrt` `difference-of-squares`
3×	`rem-exp-log`
2×	`distribute-neg-in` `exp-sum` `neg-log`
1×	`neg-sub0` `exp-neg` `pow1` `neg-mul-1` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `insert-posit16`

Counts

1 → 29

Calls

1 calls:

Slowest

19.0ms

(exp (- (- 1 (* x x))))

series23.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

23.0ms

(exp (- (- 1 (* x x))))

simplify2.7s

Counts

32 → 32

Calls

32 calls:

Slowest

254.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
205.0ms	(log (exp (- (- 1 (* x x)))))
195.0ms	(sqrt (exp (- (- 1 (* x x)))))
177.0ms	(exp (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))))
163.0ms	(sqrt (exp (- (- 1 (* x x)))))

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`exp-prod`
6×	`pow-unpow` `pow-pow` `add-cube-cbrt`
5×	`unpow-prod-down` `add-log-exp`
4×	`exp-sum` `difference-of-squares`
3×	`pow1` `sub-neg` `distribute-lft-out--`
2×	`unpow-prod-up` `add-cbrt-cube` `add-exp-log` `insert-posit16` `rem-exp-log`
1×	`pow-to-exp` `exp-diff` `diff-log` `pow-exp` `pow-sub` `sqr-pow`

Counts

2 → 49

Calls

2 calls:

Slowest

28.0ms	(pow (exp (- -1 x)) (- 1 x))
9.0ms	(exp (- -1 x))

series244.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

227.0ms	(pow (exp (- -1 x)) (- 1 x))
16.0ms	(exp (- -1 x))

simplify6.7s

Counts

65 → 55

Calls

65 calls:

Slowest

645.0ms	(* (* (pow (exp (- -1 x)) (- 1 x)) (pow (exp (- -1 x)) (- 1 x))) (pow (exp (- -1 x)) (- 1 x)))
368.0ms	(* (* (exp (- -1 x)) (exp (- -1 x))) (exp (- -1 x)))
367.0ms	(pow (* (cbrt (exp (- -1 x))) (cbrt (exp (- -1 x)))) (- 1 x))
352.0ms	(* (cbrt (pow (exp (- -1 x)) (- 1 x))) (cbrt (pow (exp (- -1 x)) (- 1 x))))
345.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))

prune416.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
18×	`unpow-prod-down`
15×	`pow-pow` `add-cube-cbrt`
13×	`exp-prod`
12×	`pow-unpow`
10×	`sqr-pow`
9×	`associate-r` `associate-l` `prod-exp` `add-exp-log` `unswap-sqr`
8×	`pow-to-exp` `unpow-prod-up` `pow-exp`
6×	`pow-sub`
5×	`pow1` `add-cbrt-cube`
4×	`sub-neg` `difference-of-squares`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `insert-posit16` `add-log-exp`
2×	`distribute-lft-out--`
1×	`frac-times` `neg-mul-1` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

3 → 111

Calls

3 calls:

Slowest

24.0ms	(* (pow (exp -1) (- 1 x)) (pow (exp (- x)) (- 1 x)))
10.0ms	(pow (exp -1) (- 1 x))
8.0ms	(pow (exp (- x)) (- 1 x))

series244.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

165.0ms	(* (pow (exp -1) (- 1 x)) (pow (exp (- x)) (- 1 x)))
45.0ms	(pow (exp -1) (- 1 x))
34.0ms	(pow (exp (- x)) (- 1 x))

simplify21.2s

Counts

143 → 120

Calls

143 calls:

Slowest

553.0ms	(* (* (pow (exp -1) (- 1 x)) (pow (exp -1) (- 1 x))) (pow (exp -1) (- 1 x)))
535.0ms	(+ (* (log (exp -1)) (- 1 x)) (* (- x) (- 1 x)))
475.0ms	(* (sqrt (pow (exp -1) (- 1 x))) (sqrt (pow (exp (- x)) (- 1 x))))
460.0ms	(sqrt (pow (exp (- x)) (- 1 x)))
457.0ms	(* (pow (exp -1) 1) (pow (exp (- x)) 1))

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`pow-pow`
26×	`exp-prod`
24×	`pow-unpow`
20×	`add-cube-cbrt`
12×	`unpow-prod-down`
8×	`pow1` `unpow-prod-up` `difference-of-squares`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow-to-exp` `sub-neg` `add-cbrt-cube` `pow-exp` `add-exp-log` `insert-posit16` `distribute-lft-out--` `pow-sub` `add-log-exp` `sqr-pow`
2×	`neg-mul-1`

Counts

4 → 122

Calls

4 calls:

Slowest

16.0ms	(pow (exp (- x)) (- 1 x))
11.0ms	(pow (exp (- x)) (- 1 x))
5.0ms	(pow (exp -1) (- 1 x))
5.0ms	(pow (exp -1) (- 1 x))

series122.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

44.0ms	(pow (exp -1) (- 1 x))
34.0ms	(pow (exp -1) (- 1 x))
22.0ms	(pow (exp (- x)) (- 1 x))
22.0ms	(pow (exp (- x)) (- 1 x))

simplify15.3s

Counts

162 → 134

Calls

162 calls:

Slowest

531.0ms	(exp (* -1 (* (- 1 x) x)))
492.0ms	(* (* (pow (exp (- x)) (- 1 x)) (pow (exp (- x)) (- 1 x))) (pow (exp (- x)) (- 1 x)))
478.0ms	(* (* (pow (exp -1) (- 1 x)) (pow (exp -1) (- 1 x))) (pow (exp -1) (- 1 x)))
457.0ms	(* (* (pow (exp -1) (- 1 x)) (pow (exp -1) (- 1 x))) (pow (exp -1) (- 1 x)))
435.0ms	(pow (exp -1) (* (cbrt (- 1 x)) (cbrt (- 1 x))))

prune1.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

15638×

body

valid