Details

sample87.0ms

Algorithm

intervals

Results

43.0ms	82×	body	1280	valid
13.0ms	180×	body	80	valid
12.0ms	32×	body	640	valid
6.0ms	26×	body	320	valid
2.0ms	14×	body	160	valid

simplify21.0ms

Calls

1 calls:

Slowest

21.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite5.0ms

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`

Calls

1 calls:

Slowest

5.0ms

(/ (expm1 x) x)

series55.0ms

Calls

1 calls:

Slowest

55.0ms

(/ (expm1 x) x)

simplify933.0ms

Calls

28 calls:

Slowest

447.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
121.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
111.0ms	(* -1 (/ (- 1 (exp x)) x))
53.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))
34.0ms	(/ (- (exp x) 1) x)

prune226.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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`

Calls

1 calls:

Slowest

19.0ms

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

series63.0ms

Calls

1 calls:

Slowest

63.0ms

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

simplify1.5s

Calls

31 calls:

Slowest

458.0ms	(* (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))
330.0ms	(* (* (* (expm1 x) (expm1 x)) (expm1 x)) (/ (* (* 1 1) 1) (* (* x x) x)))
148.0ms	(* -1 (/ (- 1 (exp x)) x))
125.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
52.0ms	(+ (log (expm1 x)) (log (/ 1 x)))

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)

rewrite41.0ms

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`

Calls

4 calls:

Slowest

14.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
13.0ms	(/ (expm1 x) x)
5.0ms	(sqrt (/ (expm1 x) x))
3.0ms	(sqrt (/ (expm1 x) x))

series229.0ms

Calls

4 calls:

Slowest

66.0ms	(sqrt (/ (expm1 x) x))
62.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
58.0ms	(/ (expm1 x) x)
42.0ms	(sqrt (/ (expm1 x) x))

simplify3.0s

Calls

185 calls:

Slowest

374.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
254.0ms	(* (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))) (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))))
126.0ms	(* -1 (/ (- 1 (exp x)) x))
95.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
94.0ms	(* (* (cbrt (sqrt (/ (expm1 x) x))) (cbrt (sqrt (/ (expm1 x) x)))) (* (cbrt (sqrt (/ (expm1 x) x))) (cbrt (sqrt (/ (expm1 x) x)))))

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
40×	`add-sqr-sqrt`
30×	`times-frac`
27×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-l`
8×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `rem-sqrt-square` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-div` `associate-r` `div-inv` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`expm1-log1p` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `expm1-udef`

Calls

4 calls:

Slowest

21.0ms	(* (sqrt (/ (expm1 x) x)) (expm1 (log1p (sqrt (/ (expm1 x) x)))))
3.0ms	(sqrt (/ (expm1 x) x))
2.0ms	(sqrt (/ (expm1 x) x))
0.0ms	(expm1 (log1p (sqrt (/ (expm1 x) x))))

series458.0ms

Calls

4 calls:

Slowest

249.0ms	(* (sqrt (/ (expm1 x) x)) (expm1 (log1p (sqrt (/ (expm1 x) x)))))
111.0ms	(expm1 (log1p (sqrt (/ (expm1 x) x))))
57.0ms	(sqrt (/ (expm1 x) x))
41.0ms	(sqrt (/ (expm1 x) x))

simplify1.5s

Calls

75 calls:

Slowest

523.0ms	(* (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))) (* (* (expm1 (log1p (sqrt (/ (expm1 x) x)))) (expm1 (log1p (sqrt (/ (expm1 x) x))))) (expm1 (log1p (sqrt (/ (expm1 x) x))))))
98.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
92.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
89.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
86.0ms	(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

981.0ms	2349×	body	1280	valid
474.0ms	1541×	body	640	valid
341.0ms	5462×	body	80	valid
194.0ms	884×	body	320	valid
72.0ms	399×	body	160	valid