Details

sample49.0ms

Algorithm

intervals

Results

19.0ms	64×	body	1280	valid
10.0ms	51×	body	640	valid
7.0ms	184×	body	80	valid
4.0ms	31×	body	320	valid
1.0ms	10×	body	160	valid

simplify17.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

17.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

Slowest

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

40.0ms	(/ (expm1 x) x)
14.0ms	(expm1 x)

simplify1.2s

Counts

31 → 49

Calls

31 calls:

Slowest

361.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
274.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
121.0ms	(* -1 (/ (- 1 (exp x)) x))
112.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
52.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))

prune312.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (expm1 x) (/ 1 x))
0.0b	(expm1 x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

Slowest

18.0ms	(* (expm1 x) (/ 1 x))
1.0ms	(expm1 x)

series76.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

52.0ms	(* (expm1 x) (/ 1 x))
25.0ms	(expm1 x)

simplify1.6s

Counts

34 → 57

Calls

34 calls:

Slowest

443.0ms	(* (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))
259.0ms	(* (* (* (expm1 x) (expm1 x)) (expm1 x)) (/ (* (* 1 1) 1) (* (* x x) x)))
232.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
146.0ms	(* -1 (/ (- 1 (exp x)) x))
71.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))

prune357.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 177

Calls

4 calls:

Slowest

29.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
8.0ms	(/ (expm1 x) x)
4.0ms	(sqrt (/ (expm1 x) x))
4.0ms	(sqrt (/ (expm1 x) x))

series241.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(sqrt (/ (expm1 x) x))
63.0ms	(/ (expm1 x) x)
61.0ms	(sqrt (/ (expm1 x) x))
53.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))

simplify3.1s

Counts

185 → 189

Calls

185 calls:

Slowest

458.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
179.0ms	(* (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))) (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))))
145.0ms	(* -1 (/ (- 1 (exp x)) x))
128.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
125.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	2259×	body	1280	valid
563.0ms	1636×	body	640	valid
359.0ms	5475×	body	80	valid
162.0ms	808×	body	320	valid
54.0ms	430×	body	160	valid