Details

sample49.0ms

Algorithm

intervals

Results

16.0ms	55×	body	1280	valid
13.0ms	64×	body	640	valid
7.0ms	170×	body	80	valid
4.0ms	32×	body	320	valid
1.0ms	17×	body	160	valid

simplify32.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

32.0ms

(/ (- (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)

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

8.0ms

(/ (expm1 x) x)

series69.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

69.0ms

(/ (expm1 x) x)

simplify881.0ms

Counts

28 → 34

Calls

28 calls:

Slowest

400.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
152.0ms	(* -1 (/ (- 1 (exp x)) x))
85.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
36.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))
28.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) 1)

prune238.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x 1/6 1/2)
0.1b	(fma x (fma x 1/6 1/2) 1)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

Slowest

1.0ms	(fma x 1/6 1/2)
0.0ms	(fma x (fma x 1/6 1/2) 1)

series79.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

49.0ms	(fma x 1/6 1/2)
29.0ms	(fma x (fma x 1/6 1/2) 1)

simplify291.0ms

Counts

6 → 28

Calls

6 calls:

Slowest

96.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
96.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
73.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
8.0ms	(+ (* 1/6 x) 1/2)
8.0ms	(+ (* 1/6 x) 1/2)

prune218.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	2200×	body	1280	valid
530.0ms	1687×	body	640	valid
395.0ms	5433×	body	80	valid
246.0ms	864×	body	320	valid
59.0ms	434×	body	160	valid