Details

sample232.0ms

Algorithm

intervals

Results

80.0ms	803×	body	80	nan
20.0ms	256×	body	80	valid

simplify81.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

80.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b	(* (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×	`expm1-log1p-u` `flip3--` `difference-of-sqr-1` `associate-*l/` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

2 → 61

Calls

2 calls:

Slowest

29.0ms	(* (sqrt (- x 1)) (sqrt x))
6.0ms	(sqrt (- x 1))

series125.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(* (sqrt (- x 1)) (sqrt x))
50.0ms	(sqrt (- x 1))

simplify1.8s

Counts

49 → 67

Calls

49 calls:

Slowest

394.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
390.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
173.0ms	(+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1)))
81.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
72.0ms	(* (sqrt (- (* x x) (* 1 1))) (sqrt x))

prune471.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

29.7b	(pow (* (- x 1) x) 1/2)
0.0b	(* (- x 1) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
7×	`pow1` `associate-l` `add-exp-log`
5×	`add-cube-cbrt`
4×	`add-cbrt-cube`
3×	`pow-unpow` `associate-r`
2×	`expm1-log1p-u` `pow-pow` `pow-prod-down` `associate-*l/` `pow-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`pow-to-exp` `unpow-prod-down` `flip3--` `difference-of-sqr-1` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unpow1/2` `unswap-sqr` `sqr-pow`

Counts

2 → 48

Calls

2 calls:

Slowest

20.0ms	(* (- x 1) x)
16.0ms	(pow (* (- x 1) x) 1/2)

series119.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

62.0ms	(* (- x 1) x)
57.0ms	(pow (* (- x 1) x) 1/2)

simplify1.6s

Counts

27 → 54

Calls

27 calls:

Slowest

311.0ms	(- (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))))))))
263.0ms	(+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
228.0ms	(* (* (* (- x 1) (- x 1)) (- x 1)) (* (* x x) x))
209.0ms	(- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
146.0ms	(* (- (pow x 3) (pow 1 3)) x)

prune318.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.6s	23788×	body	80	nan
592.0ms	7994×	body	80	valid
0.0ms	6×	body	160	valid