Details

sample64.0ms

Algorithm

intervals

Results

24.0ms	107×	body	1280	valid
12.0ms	83×	body	640	valid
10.0ms	428×	pre	80	true
5.0ms	177×	body	80	valid
4.0ms	39×	body	320	valid
1.0ms	22×	body	160	valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

8.0ms

(- (exp x) 1)

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize5.0ms

Local error

Found 1 expressions with local error:

6.0b	(- (exp x) 1)

rewrite8.0ms

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

8.0ms

(- (exp x) 1)

series32.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

32.0ms

(- (exp x) 1)

simplify315.0ms

Counts

10 → 20

Calls

10 calls:

Slowest

213.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
19.0ms	(/ (exp (exp x)) (exp 1))
17.0ms	(+ (sqrt (exp x)) 1)
11.0ms	(- (sqrt (exp x)) 1)
11.0ms	(- (sqrt (exp x)) (sqrt 1))

prune155.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.3b	(* x 1/6)
0.0b	(* (* x x) (+ (* x 1/6) 1/2))
0.0b	(+ (* x 1/6) 1/2)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

Slowest

33.0ms	(* (* x x) (+ (* x 1/6) 1/2))
10.0ms	(+ (* x 1/6) 1/2)
9.0ms	(* x 1/6)

series183.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

118.0ms	(* (* x x) (+ (* x 1/6) 1/2))
38.0ms	(+ (* x 1/6) 1/2)
27.0ms	(* x 1/6)

simplify2.1s

Counts

34 → 64

Calls

34 calls:

Slowest

388.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
321.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
230.0ms	(+ (* (* x 1/6) (* x 1/6)) (- (* 1/2 1/2) (* (* x 1/6) 1/2)))
192.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))
165.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune448.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3387×	body	1280	valid
578.0ms	2547×	body	640	valid
356.0ms	12041×	pre	80	true
180.0ms	1217×	body	320	valid
136.0ms	4238×	body	80	valid
52.0ms	652×	body	160	valid