Details

sample55.0ms

Algorithm

intervals

Results

25.0ms	130×	body	1280	valid
8.0ms	70×	body	640	valid
8.0ms	369×	pre	80	true
3.0ms	34×	body	320	valid
3.0ms	118×	body	80	valid
1.0ms	17×	body	160	valid

simplify9.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

9.0ms

(- (exp x) 1)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b	(- (exp x) 1)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 17

Calls

1 calls:

Slowest

14.0ms

(- (exp x) 1)

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

41.0ms

(- (exp x) 1)

simplify325.0ms

Counts

10 → 20

Calls

10 calls:

Slowest

219.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
19.0ms	(- (sqrt (exp x)) (sqrt 1))
17.0ms	(/ (exp (exp x)) (exp 1))
15.0ms	(+ (sqrt (exp x)) 1)
11.0ms	(- (exp x) 1)

prune128.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.4b	(* x 1/6)
0.0b	(* (* x x) (+ (* x 1/6) 1/2))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 43

Calls

2 calls:

Slowest

55.0ms	(* (* x x) (+ (* x 1/6) 1/2))
11.0ms	(* x 1/6)

series119.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

88.0ms	(* (* x x) (+ (* x 1/6) 1/2))
31.0ms	(* x 1/6)

simplify2.0s

Counts

30 → 49

Calls

30 calls:

Slowest

314.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
262.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
260.0ms	(+ (* (* x 1/6) (* x 1/6)) (- (* 1/2 1/2) (* (* x 1/6) 1/2)))
202.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))
170.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune391.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	3421×	body	1280	valid
474.0ms	2487×	body	640	valid
356.0ms	11912×	pre	80	true
209.0ms	4120×	body	80	valid
178.0ms	1265×	body	320	valid
47.0ms	619×	body	160	valid