Details

sample92.0ms

Algorithm

intervals

Results

26.0ms	75×	body	10240	exit
22.0ms	58×	body	1280	valid
17.0ms	59×	body	640	valid
6.0ms	101×	body	80	valid
6.0ms	18×	body	160	valid
3.0ms	20×	body	320	valid

simplify18.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

18.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize16.0ms

Local error

Found 2 expressions with local error:

5.0b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite64.0ms

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

42.0ms	(/ (exp x) (- (exp x) 1))
20.0ms	(- (exp x) 1)

series51.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

26.0ms	(/ (exp x) (- (exp x) 1))
24.0ms	(- (exp x) 1)

simplify2.3s

Counts

88 → 86

Calls

88 calls:

Slowest

244.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
213.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
97.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (sqrt 1) (sqrt 1))))
82.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
80.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))

prune645.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

30.0ms

(/ (exp x) (expm1 x))

simplify746.0ms

Counts

28 → 33

Calls

28 calls:

Slowest

397.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
63.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))
47.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
21.0ms	(/ (exp x) (- (exp x) 1))
20.0ms	(/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x))))

prune279.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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

1.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

27.0ms

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

simplify118.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

47.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
46.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
23.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune89.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 2 expressions with local error:

59.8b	(posit16->real (real->posit16 (fma x 1/12 (+ 1/2 (/ 1 x)))))
0.1b	(fma x 1/12 (+ 1/2 (/ 1 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 22

Calls

2 calls:

Slowest

7.0ms	(fma x 1/12 (+ 1/2 (/ 1 x)))
1.0ms	(posit16->real (real->posit16 (fma x 1/12 (+ 1/2 (/ 1 x)))))

series40.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

25.0ms	(posit16->real (real->posit16 (fma x 1/12 (+ 1/2 (/ 1 x)))))
15.0ms	(fma x 1/12 (+ 1/2 (/ 1 x)))

simplify221.0ms

Counts

6 → 28

Calls

6 calls:

Slowest

49.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
48.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
34.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
32.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
31.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune450.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	2601×	body	10240	exit
999.0ms	2285×	body	1280	valid
504.0ms	1643×	body	640	valid
235.0ms	2831×	body	80	valid
149.0ms	801×	body	320	valid
86.0ms	442×	body	160	valid