Details

sample94.0ms

Algorithm

intervals

Results

30.0ms	228×	body	160	nan
28.0ms	519×	body	80	nan
18.0ms	256×	body	80	valid

simplify2.5s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize28.0ms

Local error

Found 2 expressions with local error:

28.9b	(sqrt (- (* x x) 1))
0.0b	(+ x (sqrt (- (* x x) 1)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

Slowest

24.0ms	(+ x (sqrt (- (* x x) 1)))
17.0ms	(sqrt (- (* x x) 1))

series163.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

91.0ms	(+ x (sqrt (- (* x x) 1)))
72.0ms	(sqrt (- (* x x) 1))

simplify1.3s

Counts: 38 → 38

prune271.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.5b	(* (sqrt (+ x 1)) (sqrt (- x 1)))
0.0b	(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
0.0b	(sqrt (- x 1))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`sqrt-prod`
16×	`*-un-lft-identity`
14×	`sqrt-div`
10×	`associate-r`
8×	`pow1` `add-cube-cbrt`
7×	`associate-l`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`frac-times` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares` `unswap-sqr`
3×	`sqrt-pow1` `pow1/2` `pow-prod-down` `insert-posit16`
2×	`difference-of-sqr-1` `associate-l/` `associate-r/` `distribute-lft-out--`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out`

Counts

3 → 76

Calls

3 calls:

Slowest

54.0ms	(* (sqrt (+ x 1)) (sqrt (- x 1)))
9.0ms	(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
9.0ms	(sqrt (- x 1))

series253.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

106.0ms	(* (sqrt (+ x 1)) (sqrt (- x 1)))
101.0ms	(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
45.0ms	(sqrt (- x 1))

simplify856.0ms

Counts: 85 → 85

prune762.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch3.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.7s	7647×	body	160	nan
1.3s	16118×	body	80	nan
755.0ms	8000×	body	80	valid