Details

sample427.0ms

Algorithm

intervals

Results

145.0ms	730×	body	80	nan
25.0ms	256×	body	80	valid

simplify73.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

72.0ms

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

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite120.0ms

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`

Counts

1 → 39

Calls

1 calls:

Slowest

84.0ms

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

series184.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

183.0ms

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

simplify1.6s

Counts

35 → 42

Calls

35 calls:

Slowest

586.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
262.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
73.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
65.0ms	(* (sqrt (sqrt (- x 1))) (sqrt (sqrt x)))
59.0ms	(* (- x 1) x)

prune330.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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

localize16.0ms

Local error

Found 1 expressions with local error:

29.6b

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

rewrite12.0ms

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×	`expm1-log1p-u` `pow-to-exp` `unpow-prod-down` `add-cbrt-cube` `pow-prod-down` `prod-exp` `insert-posit16` `log1p-expm1-u` `unpow1/2` `add-log-exp` `sqr-pow`

Counts

1 → 21

Calls

1 calls:

Slowest

12.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

77.0ms

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

simplify1.1s

Counts

10 → 24

Calls

10 calls:

Slowest

332.0ms	(+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
289.0ms	(- (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))))))))
227.0ms	(- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
83.0ms	(* (log (* (- x 1) x)) 1/2)
40.0ms	(* (+ (log (- x 1)) (log x)) 1/2)

prune142.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.7s	24098×	body	80	nan
652.0ms	7996×	body	80	valid
0.0ms	4×	body	160	valid