Details

sample48.0ms

Algorithm

intervals

Results

24.0ms	82×	body	1280	valid
7.0ms	180×	body	80	valid
6.0ms	32×	body	640	valid
4.0ms	26×	body	320	valid
1.0ms	14×	body	160	valid

simplify18.0ms

Calls

1 calls:

Slowest

18.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

6.0ms

(/ (expm1 x) x)

series52.0ms

Calls

1 calls:

Slowest

52.0ms

(/ (expm1 x) x)

simplify209.0ms

Calls

6 calls:

Slowest

107.0ms	(* -1 (/ (- 1 (exp x)) x))
73.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
18.0ms	(/ (- (exp x) 1) x)
4.0ms	(* (cbrt (expm1 x)) (cbrt (expm1 x)))
4.0ms	(sqrt (expm1 x))

prune142.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-r`
3×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `add-cbrt-cube` `associate-l*` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `associate-r/` `un-div-inv` `-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

12.0ms

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

series52.0ms

Calls

1 calls:

Slowest

52.0ms

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

simplify783.0ms

Calls

12 calls:

Slowest

426.0ms	(* (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))
142.0ms	(* -1 (/ (- 1 (exp x)) x))
85.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
36.0ms	(+ (log (expm1 x)) (log (/ 1 x)))
23.0ms	(* (expm1 x) (/ 1 x))

prune155.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `pow1/2` `sqrt-div` `add-exp-log`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`rem-sqrt-square` `pow-prod-down` `pow-prod-up`
1×	`pow2` `frac-times` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `expm1-udef`

Calls

4 calls:

Slowest

9.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
3.0ms	(/ (expm1 x) x)
1.0ms	(sqrt (/ (expm1 x) x))
1.0ms	(sqrt (/ (expm1 x) x))

series195.0ms

Calls

4 calls:

Slowest

57.0ms	(/ (expm1 x) x)
52.0ms	(sqrt (/ (expm1 x) x))
48.0ms	(sqrt (/ (expm1 x) x))
38.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))

simplify1.2s

Calls

55 calls:

Slowest

303.0ms	(* (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))) (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))))
143.0ms	(* -1 (/ (- 1 (exp x)) x))
101.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
100.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
84.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))

prune866.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`sqrt-prod`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-div` `associate-l` `div-inv`
2×	`rem-sqrt-square` `pow1/2`
1×	`expm1-log1p` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `expm1-udef`

Calls

4 calls:

Slowest

5.0ms	(* (expm1 (log1p (sqrt (/ (expm1 x) x)))) (sqrt (/ (expm1 x) x)))
1.0ms	(sqrt (/ (expm1 x) x))
1.0ms	(sqrt (/ (expm1 x) x))
0.0ms	(expm1 (log1p (sqrt (/ (expm1 x) x))))

series422.0ms

Calls

4 calls:

Slowest

220.0ms	(* (expm1 (log1p (sqrt (/ (expm1 x) x)))) (sqrt (/ (expm1 x) x)))
91.0ms	(expm1 (log1p (sqrt (/ (expm1 x) x))))
65.0ms	(sqrt (/ (expm1 x) x))
45.0ms	(sqrt (/ (expm1 x) x))

simplify876.0ms

Calls

38 calls:

Slowest

282.0ms	(* (* (* (expm1 (log1p (sqrt (/ (expm1 x) x)))) (expm1 (log1p (sqrt (/ (expm1 x) x))))) (expm1 (log1p (sqrt (/ (expm1 x) x))))) (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))))
125.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
112.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
94.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
93.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))

prune757.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

989.0ms	2349×	body	1280	valid
462.0ms	1541×	body	640	valid
332.0ms	5462×	body	80	valid
287.0ms	884×	body	320	valid
82.0ms	399×	body	160	valid