Details

sample90.0ms

Algorithm

intervals

Results

42.0ms	81×	body	1280	valid
17.0ms	45×	body	640	valid
13.0ms	177×	body	80	valid
5.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify48.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

48.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite10.0ms

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

9.0ms

(/ (expm1 x) x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

48.0ms

(/ (expm1 x) x)

simplify926.0ms

Counts

28 → 34

Calls

28 calls:

Slowest

468.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
136.0ms	(* -1 (/ (- 1 (exp x)) x))
87.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
49.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))
30.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) 1)

prune268.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (log1p (/ (expm1 x) x)))
0.0b	(log1p (/ (expm1 x) x))
0.0b	(/ (expm1 x) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

Slowest

4.0ms	(/ (expm1 x) x)
0.0ms	(log1p (/ (expm1 x) x))
0.0ms	(expm1 (log1p (/ (expm1 x) x)))

series392.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

290.0ms	(expm1 (log1p (/ (expm1 x) x)))
60.0ms	(/ (expm1 x) x)
42.0ms	(log1p (/ (expm1 x) x))

simplify2.5s

Counts

36 → 64

Calls

36 calls:

Slowest

599.0ms	(- (+ (/ (exp x) x) (+ (/ (exp x) (pow x 2)) (+ (* 1/3 (/ (pow (exp x) 3) (pow x 3))) (/ (exp x) (pow x 3))))) (+ (/ (pow (exp x) 2) (pow x 3)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 1/2 (/ (pow (exp x) 2) (pow x 2))) (+ (* 1/3 (/ 1 (pow x 3))) (/ 1 x))))))
583.0ms	(- (+ (/ (exp x) x) (+ (/ (exp x) (pow x 2)) (+ (* 1/3 (/ (pow (exp x) 3) (pow x 3))) (/ (exp x) (pow x 3))))) (+ (/ (pow (exp x) 2) (pow x 3)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 1/2 (/ (pow (exp x) 2) (pow x 2))) (+ (* 1/3 (/ 1 (pow x 3))) (/ 1 x))))))
447.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
144.0ms	(* -1 (/ (- 1 (exp x)) x))
127.0ms	(* -1 (/ (- 1 (exp x)) x))

prune661.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	2250×	body	1280	valid
476.0ms	1702×	body	640	valid
335.0ms	5471×	body	80	valid
253.0ms	838×	body	320	valid
48.0ms	384×	body	160	valid