Details

sample128.0ms

Algorithm

intervals

Results

42.0ms	93×	body	10240	exit
36.0ms	71×	body	1280	valid
19.0ms	55×	body	640	valid
10.0ms	89×	body	80	valid
7.0ms	27×	body	320	valid
2.0ms	14×	body	160	valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.4b

localize9.0ms

Local error

Found 2 expressions with local error:

4.2b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite39.0ms

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

27.0ms	(/ (exp x) (- (exp x) 1))
10.0ms	(- (exp x) 1)

series66.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

44.0ms	(/ (exp x) (- (exp x) 1))
22.0ms	(- (exp x) 1)

simplify2.3s

Counts

88 → 86

Calls

88 calls:

Slowest

274.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
272.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
79.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
75.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
69.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (sqrt 1) (sqrt 1))))

prune711.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (exp x) (expm1 x))

rewrite18.0ms

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

17.0ms

(/ (exp x) (expm1 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

45.0ms

(/ (exp x) (expm1 x))

simplify679.0ms

Counts

28 → 33

Calls

28 calls:

Slowest

374.0ms	(/ (* (* (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))))
34.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
29.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) 1)
19.0ms	(/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x))))

prune267.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(sqrt (/ (exp x) (expm1 x)))
0.5b	(sqrt (/ (exp x) (expm1 x)))
0.5b	(/ (exp x) (expm1 x))
0.5b	(/ (exp x) (expm1 x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
26×	`sqrt-prod`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/r` `add-exp-log` `associate-/l`
4×	`expm1-log1p-u` `rem-sqrt-square` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp`

Counts

4 → 116

Calls

4 calls:

Slowest

12.0ms	(/ (exp x) (expm1 x))
12.0ms	(/ (exp x) (expm1 x))
7.0ms	(sqrt (/ (exp x) (expm1 x)))
7.0ms	(sqrt (/ (exp x) (expm1 x)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(sqrt (/ (exp x) (expm1 x)))
56.0ms	(sqrt (/ (exp x) (expm1 x)))
31.0ms	(/ (exp x) (expm1 x))
27.0ms	(/ (exp x) (expm1 x))

simplify2.1s

Counts

96 → 128

Calls

96 calls:

Slowest

473.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
440.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
54.0ms	(sqrt (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
53.0ms	(sqrt (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
47.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize10.0ms

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)))

series17.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

17.0ms

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

simplify133.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

50.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
42.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
40.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune96.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes38.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.0s	2624×	body	10240	exit
997.0ms	2258×	body	1280	valid
572.0ms	835×	body	320	valid
566.0ms	1654×	body	640	valid
186.0ms	2807×	body	80	valid
54.0ms	447×	body	160	valid