Details

sample78.0ms

Algorithm

intervals

Results

37.0ms	750×	body	80	nan
15.0ms	256×	body	80	valid

simplify20.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)
0.0b	(sqrt (- 1.0 (* x x)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
33×	`times-frac`
32×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`sqrt-prod`
8×	`log-prod` `distribute-lft-out`
7×	`add-exp-log` `associate-/l*`
6×	`pow1` `add-cbrt-cube` `add-log-exp`
5×	`div-inv` `difference-of-squares`
4×	`sqrt-div`
3×	`log-div` `associate-/r*`
2×	`distribute-rgt-out` `flip3--` `flip3-+` `frac-add` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `clear-num` `sum-log` `log-pow`

Counts

4 → 98

Calls

4 calls:

46.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
45.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
41.0ms	(/ (sqrt (- 1.0 (* x x))) x)
6.0ms	(sqrt (- 1.0 (* x x)))

series870.0ms

Counts

4 → 12

Calls

4 calls:

452.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
164.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
165.0ms	(/ (sqrt (- 1.0 (* x x))) x)
89.0ms	(sqrt (- 1.0 (* x x)))

simplify936.0ms

Counts: 110 → 110

prune456.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (sqrt (- 1.0 (* x x))))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
0.2b	(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
21×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`associate-+l+`
10×	`pow1`
9×	`times-frac`
7×	`distribute-lft-out`
6×	`add-log-exp`
5×	`add-exp-log` `log-div` `log-pow`
4×	`associate-+r+` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `associate-+r-` `sqrt-div` `sum-log`
1×	`associate-+l-` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `rem-log-exp` `flip--` `div-inv` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

32.0ms	(+ 1.0 (sqrt (- 1.0 (* x x))))
11.0ms	(sqrt (- 1.0 (* x x)))
13.0ms	(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
39.0ms	(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series879.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ 1.0 (sqrt (- 1.0 (* x x))))
80.0ms	(sqrt (- 1.0 (* x x)))
312.0ms	(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
408.0ms	(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify776.0ms

Counts: 90 → 90

prune396.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify26.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.2s	23902×	body	80	nan
680.0ms	8000×	body	80	valid