Details

sample122.0ms

Algorithm

intervals

Results

75.0ms	812×	body	80	nan
24.0ms	256×	body	80	valid

simplify42.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (- 1 (* x x)))
0.0b	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`log-prod`
13×	`add-sqr-sqrt` `times-frac`
8×	`add-cube-cbrt` `sqrt-prod` `distribute-lft-out`
6×	`div-inv`
4×	`pow1`
3×	`log-div` `distribute-rgt-out` `add-exp-log`
2×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `rem-log-exp` `frac-add` `distribute-rgt1-in` `log-pow` `flip-+` `flip--`

Counts

2 → 50

Calls

2 calls:

Slowest

13.0ms	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
6.0ms	(sqrt (- 1 (* x x)))

series343.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

274.0ms	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
69.0ms	(sqrt (- 1 (* x x)))

simplify1.2s

Counts: 56 → 56

prune454.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.1b	(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.0b	(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
0.0b	(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
78×	`sqrt-prod`
76×	`times-frac`
36×	`log-prod`
32×	`distribute-lft-out`
26×	`add-cube-cbrt`
24×	`div-inv`
18×	`hypot-def`
12×	`distribute-rgt-out` `sqrt-div`
10×	`pow1`
6×	`log-div` `add-exp-log` `log-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `frac-add` `distribute-rgt1-in` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 150

Calls

4 calls:

Slowest

52.0ms	(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
35.0ms	(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
29.0ms	(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
25.0ms	(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

438.0ms	(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
367.0ms	(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
186.0ms	(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
178.0ms	(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

simplify1.4s

Counts: 162 → 162

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.2s	23881×	body	80	nan
1.2s	8000×	body	80	valid