Details

sample411.0ms

Algorithm

intervals

Results

304.0ms	849×	body	80	nan
23.0ms	256×	body	80	valid

simplify68.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

68.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite141.0ms

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

138.0ms

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

series166.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

166.0ms

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

simplify1.5s

Counts

35 → 40

Calls

35 calls:

Slowest

411.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
338.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
116.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
105.0ms	(* (- x 1) x)
75.0ms	(* (- x 1) x)

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`sqrt-prod`
10×	`associate-r`
8×	`*-un-lft-identity`
6×	`associate-l`
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-*r/` `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

16.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

95.0ms

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

simplify971.0ms

Counts

35 → 40

Calls

35 calls:

Slowest

405.0ms	(* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))))
115.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))
40.0ms	(sqrt (+ (* x x) (+ (* 1 1) (* x 1))))
31.0ms	(* x (- x 1))
30.0ms	(* x (- x 1))

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 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

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

76×	`pow1`
64×	`sqrt-pow1`
44×	`pow-prod-down`
41×	`add-sqr-sqrt`
32×	`sqrt-prod`
30×	`pow1/2`
28×	`sqrt-div`
24×	`associate-r`
21×	`*-un-lft-identity`
18×	`associate-*r/`
16×	`associate-l`
15×	`add-cube-cbrt`
14×	`pow-prod-up`
9×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
8×	`flip3--` `pow-sqr` `flip--`
4×	`frac-times` `swap-sqr` `difference-of-squares`
3×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`difference-of-sqr-1` `associate-*l/` `distribute-lft-out--`
1×	`pow2` `rem-square-sqrt` `pow-plus`

Counts

3 → 140

Calls

3 calls:

Slowest

63.0ms	(* (sqrt (* (sqrt x) (sqrt (- x 1)))) (sqrt (* (sqrt x) (sqrt (- x 1)))))
35.0ms	(* (sqrt x) (sqrt (- x 1)))
32.0ms	(* (sqrt x) (sqrt (- x 1)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

89.0ms	(* (sqrt x) (sqrt (- x 1)))
85.0ms	(* (sqrt (* (sqrt x) (sqrt (- x 1)))) (sqrt (* (sqrt x) (sqrt (- x 1)))))
68.0ms	(* (sqrt x) (sqrt (- x 1)))

simplify6.1s

Counts

166 → 149

Calls

166 calls:

Slowest

367.0ms	(* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))))
352.0ms	(* (* (* (sqrt (* (sqrt x) (sqrt (- x 1)))) (sqrt (* (sqrt x) (sqrt (- x 1))))) (sqrt (* (sqrt x) (sqrt (- x 1))))) (* (* (sqrt (* (sqrt x) (sqrt (- x 1)))) (sqrt (* (sqrt x) (sqrt (- x 1))))) (sqrt (* (sqrt x) (sqrt (- x 1))))))
347.0ms	(* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))))
323.0ms	(* (sqrt (* (sqrt x) (sqrt (- (pow x 3) (pow 1 3))))) (sqrt (* (sqrt x) (sqrt (- (pow x 3) (pow 1 3))))))
321.0ms	(* (sqrt (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (sqrt (* (sqrt x) (sqrt (- (pow x 3) (pow 1 3))))))

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.7s	24754×	body	80	nan
678.0ms	7994×	body	80	valid
1.0ms	6×	body	160	valid