Details

sample116.0ms

Algorithm

intervals

Results

38.0ms	257×	body	160	nan
36.0ms	569×	body	80	nan
22.0ms	256×	body	80	valid

simplify200.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

200.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize17.0ms

Local error

Found 2 expressions with local error:

28.8b	(sqrt (fma x x -1))
0.0b	(+ x (sqrt (fma x x -1)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1` `fma-def` `sqrt-prod`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

2 → 34

Calls

2 calls:

Slowest

5.0ms	(+ x (sqrt (fma x x -1)))
1.0ms	(sqrt (fma x x -1))

series147.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

80.0ms	(+ x (sqrt (fma x x -1)))
67.0ms	(sqrt (fma x x -1))

simplify1.6s

Counts

15 → 40

Calls

15 calls:

Slowest

499.0ms	(- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x)
236.0ms	(+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
206.0ms	(- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
182.0ms	(- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
181.0ms	(+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)))

prune342.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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

10.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

58.0ms

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

simplify1.8s

Counts

48 → 52

Calls

48 calls:

Slowest

163.0ms	(/ (* (* (/ -1/8 x) (/ -1/8 x)) (/ -1/8 x)) (* (* (* x x) (* x x)) (* x x)))
157.0ms	(/ (/ (* (* -1/8 -1/8) -1/8) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
120.0ms	(/ (* (* (/ -1/8 x) (/ -1/8 x)) (/ -1/8 x)) (* (* (* x x) x) (* (* x x) x)))
120.0ms	(/ (/ (* (cbrt -1/8) (cbrt -1/8)) (* (cbrt x) (cbrt x))) x)
106.0ms	(/ (/ (* (* -1/8 -1/8) -1/8) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))

prune488.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	16176×	body	80	nan
1.2s	7589×	body	160	nan
811.0ms	8000×	body	80	valid