Details

sample509.0ms

Algorithm

intervals

Results

86.0ms	748×	body	80	nan
23.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify89.0ms

Calls

1 calls:

Slowest

88.0ms

(* (sqrt (- x 1)) (sqrt x))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (sqrt (- x 1)) (sqrt x))
0.0b	(sqrt (- x 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
21×	`sqrt-prod`
13×	`*-un-lft-identity`
10×	`associate-l`
7×	`pow1` `add-cube-cbrt`
6×	`associate-r`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `difference-of-squares` `unswap-sqr`
3×	`sqrt-pow1` `pow1/2` `pow-prod-down`
2×	`flip3--` `difference-of-sqr-1` `associate-*l/` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

2 calls:

Slowest

31.0ms	(* (sqrt (- x 1)) (sqrt x))
5.0ms	(sqrt (- x 1))

series140.0ms

Calls

2 calls:

Slowest

90.0ms	(* (sqrt (- x 1)) (sqrt x))
51.0ms	(sqrt (- x 1))

simplify1.5s

Calls

49 calls:

Slowest

338.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
259.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
109.0ms	(+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1)))
74.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
64.0ms	(sqrt (- (pow x 3) (pow 1 3)))

prune440.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (- 1/2 (/ -1/8 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`add-sqr-sqrt` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `associate--r+`
1×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `associate--r-` `difference-of-squares`

Calls

1 calls:

Slowest

14.0ms

(- x (- 1/2 (/ -1/8 x)))

series16.0ms

Calls

1 calls:

Slowest

16.0ms

(- x (- 1/2 (/ -1/8 x)))

simplify743.0ms

Calls

12 calls:

Slowest

148.0ms	(/ (exp x) (exp (- 1/2 (/ -1/8 x))))
103.0ms	(/ (exp x) (/ (exp 1/2) (exp (/ -1/8 x))))
90.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
82.0ms	(- x (- 1/2 (/ -1/8 x)))
80.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))

prune136.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

30.4b

(pow (* (- x 1) x) 1/2)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log`
3×	`pow-unpow`
2×	`add-sqr-sqrt` `pow-pow` `*-un-lft-identity` `pow-exp` `add-cube-cbrt`
1×	`pow-to-exp` `unpow-prod-down` `add-cbrt-cube` `pow-prod-down` `prod-exp` `insert-posit16` `unpow1/2` `add-log-exp` `sqr-pow`

Calls

1 calls:

Slowest

13.0ms

(pow (* (- x 1) x) 1/2)

series50.0ms

Calls

1 calls:

Slowest

50.0ms

(pow (* (- x 1) x) 1/2)

simplify921.0ms

Calls

10 calls:

Slowest

277.0ms	(+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
276.0ms	(- (exp (* 1/2 (+ (log -1) (log x)))) (+ (* 1/2 (* x (exp (* 1/2 (+ (log -1) (log x)))))) (* 1/8 (* (pow x 2) (exp (* 1/2 (+ (log -1) (log x))))))))
185.0ms	(- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
70.0ms	(* (log (* (- x 1) x)) 1/2)
31.0ms	(* (+ (log (- x 1)) (log x)) 1/2)

prune121.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.8s	23560×	body	80	nan
508.0ms	7995×	body	80	valid
0.0ms	5×	body	160	valid