Details

sample112.0ms

Algorithm

intervals

Results

35.0ms	268×	body	160	nan
30.0ms	527×	body	80	nan
28.0ms	256×	body	80	valid

simplify127.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

127.0ms

(log (+ x (sqrt (- (* x x) 1))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize15.0ms

Local error

Found 1 expressions with local error:

30.7b

(sqrt (fma x x -1))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

Slowest

1.0ms

(sqrt (fma x x -1))

series65.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

65.0ms

(sqrt (fma x x -1))

simplify957.0ms

Counts

8 → 19

Calls

8 calls:

Slowest

474.0ms	(- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x)
210.0ms	(- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
208.0ms	(+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)))
37.0ms	(sqrt (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
13.0ms	(sqrt (sqrt (fma x x -1)))

prune153.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ -1/8 x) (* x x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
3×	`div-inv`
2×	`prod-exp` `cbrt-unprod`
1×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

1 → 49

Calls

1 calls:

Slowest

20.0ms

(/ (/ -1/8 x) (* x x))

series63.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

63.0ms

(/ (/ -1/8 x) (* x x))

simplify1.9s

Counts

48 → 52

Calls

48 calls:

Slowest

164.0ms	(/ (/ (* (* -1/8 -1/8) -1/8) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))
145.0ms	(/ (/ (* (* -1/8 -1/8) -1/8) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
142.0ms	(/ (* (* (/ -1/8 x) (/ -1/8 x)) (/ -1/8 x)) (* (* (* x x) (* x x)) (* x x)))
134.0ms	(/ (/ (* (cbrt -1/8) (cbrt -1/8)) (* (cbrt x) (cbrt x))) x)
132.0ms	(/ (* (* (/ -1/8 x) (/ -1/8 x)) (/ -1/8 x)) (* (* (* x x) x) (* (* x x) x)))

prune393.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.6s	16015×	body	80	nan
1.4s	7498×	body	160	nan
1.3s	8000×	body	80	valid