Details

sample65.0ms

Algorithm

intervals

Results

22.0ms	64×	body	1280	valid
21.0ms	62×	body	640	valid
8.0ms	162×	body	80	valid
5.0ms	28×	body	320	valid
1.0ms	9×	body	160	valid

simplify34.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

34.0ms

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

prune13.0ms

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)

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)

series54.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

53.0ms

(/ (expm1 x) x)

simplify893.0ms

Counts

28 → 34

Calls

28 calls:

Slowest

460.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
127.0ms	(* -1 (/ (- 1 (exp x)) x))
93.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
34.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))
25.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt x))

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (expm1 x) (/ 1 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`*-un-lft-identity` `add-exp-log`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

Slowest

10.0ms

(* (expm1 x) (/ 1 x))

series68.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

68.0ms

(* (expm1 x) (/ 1 x))

simplify1.6s

Counts

31 → 42

Calls

31 calls:

Slowest

484.0ms	(* (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))
340.0ms	(* (* (* (expm1 x) (expm1 x)) (expm1 x)) (/ (* (* 1 1) 1) (* (* x x) x)))
146.0ms	(* -1 (/ (- 1 (exp x)) x))
111.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
51.0ms	(+ (log (expm1 x)) (log (/ 1 x)))

prune254.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (expm1 x) x))
0.3b	(cbrt (/ (expm1 x) x))
0.3b	(cbrt (/ (expm1 x) x))
0.2b	(* (cbrt (/ (expm1 x) x)) (cbrt (/ (expm1 x) x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

Slowest

23.0ms	(* (cbrt (/ (expm1 x) x)) (cbrt (/ (expm1 x) x)))
3.0ms	(cbrt (/ (expm1 x) x))
3.0ms	(cbrt (/ (expm1 x) x))
3.0ms	(cbrt (/ (expm1 x) x))

series772.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

236.0ms	(* (cbrt (/ (expm1 x) x)) (cbrt (/ (expm1 x) x)))
184.0ms	(cbrt (/ (expm1 x) x))
182.0ms	(cbrt (/ (expm1 x) x))
170.0ms	(cbrt (/ (expm1 x) x))

simplify4.8s

Counts

152 → 168

Calls

152 calls:

Slowest

458.0ms	(exp (* 1/3 (+ (log (- (exp x) 1)) (log (/ 1 x)))))
428.0ms	(exp (* 1/3 (+ (log (- (exp x) 1)) (log (/ 1 x)))))
421.0ms	(exp (* 1/3 (+ (log (- (exp x) 1)) (log (/ 1 x)))))
347.0ms	(* (exp (* 1/3 (+ (log (- (exp x) 1)) (log (/ -1 x))))) (cbrt -1))
323.0ms	(* (exp (* 1/3 (+ (log (- (exp x) 1)) (log (/ -1 x))))) (cbrt -1))

prune1.4s

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

sample2.7s

Algorithm

intervals

Results

1.4s	2294×	body	1280	valid
534.0ms	1679×	body	640	valid
328.0ms	5426×	body	80	valid
188.0ms	834×	body	320	valid
48.0ms	393×	body	160	valid