Details

sample100.0ms

Algorithm

intervals

Results

39.0ms	74×	body	1280	valid
21.0ms	158×	body	80	valid
20.0ms	54×	body	640	valid
7.0ms	24×	body	320	valid
3.0ms	16×	body	160	valid

simplify35.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

35.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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

9.0ms

(/ (expm1 x) x)

series73.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

73.0ms

(/ (expm1 x) x)

simplify834.0ms

Counts

28 → 34

Calls

28 calls:

Slowest

429.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
109.0ms	(* -1 (/ (- 1 (exp x)) x))
70.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
33.0ms	(/ (- (exp x) 1) x)
27.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))

prune230.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)

rewrite7.0ms

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

6.0ms	(/ (expm1 x) x)
0.0ms	(log1p (/ (expm1 x) x))
0.0ms	(expm1 (log1p (/ (expm1 x) x)))

series391.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

283.0ms	(expm1 (log1p (/ (expm1 x) x)))
61.0ms	(/ (expm1 x) x)
46.0ms	(log1p (/ (expm1 x) x))

simplify2.5s

Counts

36 → 64

Calls

36 calls:

Slowest

642.0ms	(- (+ (/ (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))))))
622.0ms	(- (+ (/ (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))))))
396.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
167.0ms	(* -1 (/ (- 1 (exp x)) x))
144.0ms	(* -1 (/ (- 1 (exp x)) x))

prune525.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (expm1 (log1p (/ (expm1 x) x)))) (sqrt (expm1 (log1p (/ (expm1 x) x)))))
0.0b	(sqrt (expm1 (log1p (/ (expm1 x) x))))
0.0b	(sqrt (expm1 (log1p (/ (expm1 x) x))))
0.0b	(expm1 (log1p (/ (expm1 x) x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `expm1-log1p` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef`

Counts

4 → 96

Calls

4 calls:

Slowest

9.0ms	(* (sqrt (expm1 (log1p (/ (expm1 x) x)))) (sqrt (expm1 (log1p (/ (expm1 x) x)))))
1.0ms	(sqrt (expm1 (log1p (/ (expm1 x) x))))
1.0ms	(sqrt (expm1 (log1p (/ (expm1 x) x))))
0.0ms	(expm1 (log1p (/ (expm1 x) x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

641.0ms	(* (sqrt (expm1 (log1p (/ (expm1 x) x)))) (sqrt (expm1 (log1p (/ (expm1 x) x)))))
311.0ms	(expm1 (log1p (/ (expm1 x) x)))
104.0ms	(sqrt (expm1 (log1p (/ (expm1 x) x))))
81.0ms	(sqrt (expm1 (log1p (/ (expm1 x) x))))

simplify1.7s

Counts

83 → 108

Calls

83 calls:

Slowest

241.0ms	(* (* (* (sqrt (expm1 (log1p (/ (expm1 x) x)))) (sqrt (expm1 (log1p (/ (expm1 x) x))))) (sqrt (expm1 (log1p (/ (expm1 x) x))))) (* (* (sqrt (expm1 (log1p (/ (expm1 x) x)))) (sqrt (expm1 (log1p (/ (expm1 x) x))))) (sqrt (expm1 (log1p (/ (expm1 x) x))))))
137.0ms	(* -1 (/ (- 1 (exp x)) x))
131.0ms	(* -1 (/ (- 1 (exp x)) x))
95.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
92.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))

prune955.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	2327×	body	1280	valid
617.0ms	1670×	body	640	valid
367.0ms	5240×	body	80	valid
198.0ms	815×	body	320	valid
79.0ms	395×	body	160	valid