Details

sample80.0ms

Algorithm

intervals

Results

25.0ms	75×	body	1280	valid
24.0ms	88×	body	10240	exit
13.0ms	52×	body	640	valid
4.0ms	26×	body	320	valid
4.0ms	81×	body	80	valid
2.0ms	22×	body	160	valid

simplify10.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

10.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.2b

localize17.0ms

Local error

Found 2 expressions with local error:

6.0b	(- (exp x) 1)
0.0b	(/ (exp x) (- (exp x) 1))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`prod-diff`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 80

Calls

2 calls:

Slowest

16.0ms	(/ (exp x) (- (exp x) 1))
10.0ms	(- (exp x) 1)

series79.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

52.0ms	(/ (exp x) (- (exp x) 1))
27.0ms	(- (exp x) 1)

simplify2.2s

Counts

88 → 86

Calls

88 calls:

Slowest

258.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
237.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
83.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (sqrt 1) (sqrt 1))))
77.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
69.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))

prune671.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp x) (expm1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

Slowest

6.0ms

(/ (exp x) (expm1 x))

series38.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

38.0ms

(/ (exp x) (expm1 x))

simplify727.0ms

Counts

28 → 33

Calls

28 calls:

Slowest

418.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
54.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))
38.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
30.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) 1)
21.0ms	(/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x))))

prune216.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x 1/12 (+ 1/2 (/ 1 x)))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

0.0ms

(fma x 1/12 (+ 1/2 (/ 1 x)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

25.0ms

(fma x 1/12 (+ 1/2 (/ 1 x)))

simplify126.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

46.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
40.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
39.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune78.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.0s	2563×	body	10240	exit
997.0ms	2282×	body	1280	valid
565.0ms	798×	body	320	valid
536.0ms	1724×	body	640	valid
158.0ms	2754×	body	80	valid
79.0ms	443×	body	160	valid