Details

sample833.0ms

Algorithm

intervals

Results

52.0ms	762×	body	80	nan
15.0ms	256×	body	80	valid

simplify89.0ms

Calls

1 calls:

Slowest

88.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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×	`expm1-log1p-u` `flip3--` `sqrt-unprod` `difference-of-sqr-1` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`

Calls

1 calls:

Slowest

38.0ms

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

series137.0ms

Calls

1 calls:

Slowest

137.0ms

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

simplify1.4s

Calls

35 calls:

Slowest

466.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
315.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
103.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
72.0ms	(* (sqrt (- (* x x) (* 1 1))) (sqrt x))
34.0ms	(* (- x 1) x)

prune312.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune4.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

34.1b

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

23.0ms

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

series60.0ms

Calls

1 calls:

Slowest

60.0ms

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

simplify2.5s

Calls

25 calls:

Slowest

315.0ms	(+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
279.0ms	(pow (* (- x 1) (* (cbrt x) (cbrt x))) 1/2)
270.0ms	(- (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))))))))
268.0ms	(pow (* (cbrt (* (- x 1) x)) (cbrt (* (- x 1) x))) 1/2)
232.0ms	(pow (* (cbrt (- x 1)) (cbrt (- x 1))) 1/2)

prune255.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.3b remaining)

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

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.5s	23921×	body	80	nan
612.0ms	7987×	body	80	valid
2.0ms	13×	body	160	valid