Details

sample186.0ms

Algorithm

intervals

Results

50.0ms	795×	body	80	nan
14.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify22.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

21.0ms

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

prune422.0ms

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))

rewrite30.0ms

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

27.0ms

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

series91.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

90.0ms

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

simplify1.2s

Counts

35 → 40

Calls

35 calls:

Slowest

348.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
294.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
96.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
94.0ms	(* (sqrt (- (* x x) (* 1 1))) (sqrt x))
27.0ms	(* (sqrt (sqrt (- x 1))) (sqrt (sqrt x)))

prune305.0ms

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

localize16.0ms

Local error

Found 2 expressions with local error:

30.7b	(sqrt (- (* x x) x))
0.0b	(- (* x x) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `sqrt-prod`
4×	`add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3--` `add-cbrt-cube` `distribute-rgt-out--` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 33

Calls

2 calls:

Slowest

17.0ms	(sqrt (- (* x x) x))
14.0ms	(- (* x x) x)

series123.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

74.0ms	(- (* x x) x)
49.0ms	(sqrt (- (* x x) x))

simplify785.0ms

Counts

19 → 39

Calls

19 calls:

Slowest

240.0ms	(sqrt (- (* (* x x) (* x x)) (* x x)))
176.0ms	(sqrt (- (pow (* x x) 3) (pow x 3)))
92.0ms	(- (+ (* 1/8 (/ 1 x)) 1/2) x)
77.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
68.0ms	(/ (exp (* x x)) (exp x))

prune276.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.5s	23513×	body	80	nan
629.0ms	7990×	body	80	valid
1.0ms	10×	body	160	valid