Details

sample227.0ms

Algorithm

intervals

Results

73.0ms	730×	body	80	nan
19.0ms	256×	body	80	valid

simplify31.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

31.0ms

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

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1)) (sqrt x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 37

Calls

1 calls:

Slowest

17.0ms

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

series111.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

111.0ms

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

simplify1.2s

Counts

35 → 40

Calls

35 calls:

Slowest

305.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
282.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
77.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
74.0ms	(* (sqrt (- (* x x) (* 1 1))) (sqrt x))
30.0ms	(* (sqrt (sqrt (- x 1))) (sqrt (sqrt x)))

prune382.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune5.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 1 expressions with local error:

29.6b

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

rewrite17.0ms

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`

Counts

1 → 19

Calls

1 calls:

Slowest

16.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

47.0ms

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

simplify1.0s

Counts

10 → 22

Calls

10 calls:

Slowest

313.0ms	(+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
295.0ms	(- (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))))))))
220.0ms	(- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
85.0ms	(* (log (* (- x 1) x)) 1/2)
50.0ms	(* (+ (log (- x 1)) (log x)) 1/2)

prune146.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.1s	24098×	body	80	nan
600.0ms	7996×	body	80	valid
1.0ms	4×	body	160	valid