Details

sample410.0ms

Algorithm

intervals

Results

195.0ms	207×	body	10240	exit
45.0ms	429×	body	80	nan
26.0ms	236×	body	80	valid
6.0ms	25×	body	160	valid

simplify328.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

327.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (exp x) 1)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

Slowest

26.0ms

(+ (exp x) 1)

series26.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

26.0ms

(+ (exp x) 1)

simplify103.0ms

Counts

7 → 21

Calls

7 calls:

Slowest

65.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
10.0ms	(* (exp (exp x)) (exp 1))
7.0ms	(+ (exp x) 1)
7.0ms	(+ (exp x) 1)
7.0ms	(+ (exp x) 1)

prune155.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(sqrt (exp x))
0.2b	(sqrt (exp x))
0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) 1)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

Slowest

3.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) 1)

series108.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

79.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) 1)
15.0ms	(sqrt (exp x))
14.0ms	(sqrt (exp x))

simplify399.0ms

Counts

25 → 58

Calls

25 calls:

Slowest

96.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
84.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
81.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
32.0ms	(exp (* (cbrt x) (cbrt x)))
15.0ms	(exp (* (cbrt x) (cbrt x)))

prune622.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (exp x))
0.2b	(sqrt (exp x))
0.2b	(sqrt (exp x))
0.2b	(sqrt (exp x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `sqrt-pow1`
12×	`exp-prod` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
8×	`pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 76

Calls

4 calls:

Slowest

6.0ms	(sqrt (exp x))
5.0ms	(sqrt (exp x))
5.0ms	(sqrt (exp x))
5.0ms	(sqrt (exp x))

series90.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

24.0ms	(sqrt (exp x))
23.0ms	(sqrt (exp x))
22.0ms	(sqrt (exp x))
21.0ms	(sqrt (exp x))

simplify636.0ms

Counts

44 → 88

Calls

44 calls:

Slowest

125.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
107.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
103.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
63.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
33.0ms	(exp (* (cbrt x) (cbrt x)))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample10.2s

Algorithm

intervals

Results

6.7s	6701×	body	10240	exit
1.9s	12558×	body	80	nan
1.0s	7358×	body	80	valid
234.0ms	759×	body	160	valid