Details

sample65.0ms

Algorithm

intervals

Results

27.0ms	72×	body	1280	valid
13.0ms	55×	body	640	valid
10.0ms	183×	body	80	valid
5.0ms	27×	body	320	valid
2.0ms	14×	body	160	valid

simplify26.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

26.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

Slowest

6.0ms

(/ (expm1 x) x)

series47.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

47.0ms

(/ (expm1 x) x)

simplify835.0ms

Counts

28 → 34

Calls

28 calls:

Slowest

394.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
151.0ms	(* -1 (/ (- 1 (exp x)) x))
76.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
44.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))
25.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt x))

prune217.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

Slowest

8.0ms

(/ (expm1 x) x)

series51.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

51.0ms

(/ (expm1 x) x)

simplify795.0ms

Counts

28 → 34

Calls

28 calls:

Slowest

428.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
111.0ms	(* -1 (/ (- 1 (exp x)) x))
86.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
34.0ms	(/ (- (exp x) 1) x)
27.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))

prune243.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ x (expm1 x)))
0.0b	(/ x (expm1 x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 109

Calls

2 calls:

Slowest

13.0ms	(/ 1 (/ x (expm1 x)))
8.0ms	(/ x (expm1 x))

series110.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

58.0ms	(/ 1 (/ x (expm1 x)))
52.0ms	(/ x (expm1 x))

simplify5.4s

Counts

132 → 115

Calls

132 calls:

Slowest

458.0ms	(/ (* (* 1 1) 1) (* (* (/ x (expm1 x)) (/ x (expm1 x))) (/ x (expm1 x))))
358.0ms	(/ (* (* x x) x) (* (* (expm1 x) (expm1 x)) (expm1 x)))
343.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
257.0ms	(/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
193.0ms	(/ (* (* 1 1) 1) (/ (* (* x x) x) (* (* (expm1 x) (expm1 x)) (expm1 x))))

prune775.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

1.8b	(log (exp (/ (expm1 x) x)))
0.0b	(exp (/ (expm1 x) x))
0.0b	(/ (expm1 x) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`times-frac`
26×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `add-cube-cbrt`
14×	`log-pow`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `associate-/r` `div-sub` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l` `expm1-udef`
2×	`exp-diff`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `rem-exp-log`

Counts

3 → 85

Calls

3 calls:

Slowest

8.0ms	(/ (expm1 x) x)
6.0ms	(exp (/ (expm1 x) x))
5.0ms	(log (exp (/ (expm1 x) x)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

71.0ms	(log (exp (/ (expm1 x) x)))
58.0ms	(/ (expm1 x) x)
38.0ms	(exp (/ (expm1 x) x))

simplify2.1s

Counts

67 → 94

Calls

67 calls:

Slowest

374.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
245.0ms	(+ (* 7/24 (* (pow x 2) E)) (+ E (* 1/2 (* x E))))
173.0ms	(* -1 (/ (- 1 (exp x)) x))
168.0ms	(- (+ (/ (exp x) x) (+ (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (pow (exp x) 2) (pow x 2)))))) (+ (/ 1 x) (/ (exp x) (pow x 2))))
167.0ms	(- (+ (/ (exp x) x) (+ (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (pow (exp x) 2) (pow x 2)))))) (+ (/ 1 x) (/ (exp x) (pow x 2))))

prune851.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	2267×	body	1280	valid
849.0ms	1660×	body	640	valid
356.0ms	5464×	body	80	valid
181.0ms	837×	body	320	valid
80.0ms	457×	body	160	valid