Details

sample559.0ms

Algorithm

intervals

Results

279.0ms	209×	body	10240	exit
99.0ms	248×	body	80	valid
54.0ms	380×	body	80	nan
4.0ms	13×	body	160	valid

simplify604.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

603.0ms

(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(sqrt (+ (exp x) 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `fma-def`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 39

Calls

2 calls:

Slowest

20.0ms	(+ (exp x) 1)
10.0ms	(sqrt (+ (exp x) 1))

series67.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

39.0ms	(sqrt (+ (exp x) 1))
28.0ms	(+ (exp x) 1)

simplify857.0ms

Counts

20 → 45

Calls

20 calls:

Slowest

425.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
128.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
83.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
67.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
21.0ms	(+ (exp x) 1)

prune389.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(hypot (sqrt (exp x)) 1)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `sqrt-pow1` `add-cube-cbrt`
3×	`pow1` `exp-prod` `sqrt-prod`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `hypot-udef` `pow1/2`

Counts

2 → 30

Calls

2 calls:

Slowest

3.0ms	(sqrt (exp x))
0.0ms	(hypot (sqrt (exp x)) 1)

series116.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

101.0ms	(hypot (sqrt (exp x)) 1)
15.0ms	(sqrt (exp x))

simplify570.0ms

Counts

14 → 36

Calls

14 calls:

Slowest

387.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
117.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
19.0ms	(exp (* (cbrt x) (cbrt x)))
12.0ms	(sqrt (+ (exp x) 1))
7.0ms	(sqrt (+ (exp x) 1))

prune305.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.6s

Algorithm

intervals

Results

7.5s	6601×	body	10240	exit
1.5s	12591×	body	80	nan
1.1s	7451×	body	80	valid
175.0ms	682×	body	160	valid