Details

sample70.0ms

Algorithm

intervals

Results

36.0ms	82×	body	1280	valid
13.0ms	51×	body	640	valid
9.0ms	180×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	11×	body	160	valid

simplify18.0ms

Calls

1 calls:

Slowest

18.0ms

(/ (- (exp x) 1) x)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-/l*`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `add-cbrt-cube` `div-sub` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `expm1-udef` `add-log-exp`

Calls

1 calls:

Slowest

5.0ms

(/ (expm1 x) x)

series54.0ms

Calls

1 calls:

Slowest

54.0ms

(/ (expm1 x) x)

simplify306.0ms

Calls

6 calls:

Slowest

161.0ms	(* -1 (/ (- 1 (exp x)) x))
102.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
35.0ms	(/ (- (exp x) 1) x)
3.0ms	(* (cbrt (expm1 x)) (cbrt (expm1 x)))
3.0ms	(/ (exp x) x)

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
0.1b	(sqrt (/ (expm1 x) x))
0.1b	(sqrt (/ (expm1 x) x))
0.0b	(/ (expm1 x) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `pow1/2` `sqrt-div` `add-exp-log`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`rem-sqrt-square` `pow-prod-down` `pow-prod-up`
1×	`pow2` `frac-times` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `expm1-udef`

Calls

4 calls:

Slowest

7.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
6.0ms	(/ (expm1 x) x)
2.0ms	(sqrt (/ (expm1 x) x))
1.0ms	(sqrt (/ (expm1 x) x))

series203.0ms

Calls

4 calls:

Slowest

58.0ms	(sqrt (/ (expm1 x) x))
50.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
47.0ms	(/ (expm1 x) x)
47.0ms	(sqrt (/ (expm1 x) x))

simplify1.1s

Calls

55 calls:

Slowest

305.0ms	(* (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))) (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))))
155.0ms	(* -1 (/ (- 1 (exp x)) x))
98.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
97.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
93.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))

prune869.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	2283×	body	1280	valid
636.0ms	1715×	body	640	valid
397.0ms	5406×	body	80	valid
185.0ms	787×	body	320	valid
56.0ms	406×	body	160	valid