Details

sample129.0ms

Algorithm

intervals

Results

64.0ms	868×	body	80	nan
22.0ms	256×	body	80	valid

simplify29.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 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)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

45.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
84.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
27.0ms	(/ (sqrt (- 1.0 (* x x))) x)

series746.0ms

Counts

3 → 9

Calls

3 calls:

413.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
144.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
189.0ms	(/ (sqrt (- 1.0 (* x x))) x)

simplify767.0ms

Counts: 91 → 91

prune385.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-cube-cbrt` `times-frac`
8×	`pow1` `prod-exp` `add-cbrt-cube`
5×	`log-div` `flip3-+` `rem-log-exp` `flip-+` `add-log-exp`
4×	`frac-times` `associate-r/` `div-exp` `associate-r*`
3×	`unswap-sqr`
2×	`rec-exp` `1-exp` `pow-prod-down` `associate-*l/` `log-pow` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `log-prod` `distribute-lft-in` `sum-log` `*-commutative` `div-inv`

Counts

3 → 74

Calls

3 calls:

13.0ms	(+ 1.0 (sqrt (- 1.0 (* x x))))
24.0ms	(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
87.0ms	(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

series615.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ 1.0 (sqrt (- 1.0 (* x x))))
407.0ms	(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
133.0ms	(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

simplify977.0ms

Counts: 83 → 83

prune371.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x))))
0.0b	(+ (/ 1.0 x) (/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x)))
0.2b	(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.4b	(/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x))

rewrite642.0ms

Algorithm

rewrite-expression-head

Rules

616×	`times-frac`
508×	`sqrt-prod`
367×	`add-sqr-sqrt`
330×	`*-un-lft-identity`
318×	`add-cube-cbrt`
53×	`associate-/l*`
49×	`difference-of-squares`
12×	`add-exp-log` `associate-/r*`
11×	`add-cbrt-cube`
9×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `log-prod`
4×	`cbrt-undiv` `div-exp` `distribute-lft-out`
3×	`log-div` `sqrt-undiv` `associate-/l/`
2×	`frac-2neg` `flip3-+` `sqrt-div` `frac-add` `clear-num` `flip-+`
1×	`+-commutative` `flip3--` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

4 → 445

Calls

4 calls:

261.0ms	(log (+ (/ 1.0 x) (/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x))))
263.0ms	(+ (/ 1.0 x) (/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x)))
31.0ms	(/ (sqrt (- 1.0 (* x x))) (sqrt x))
45.0ms	(/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x))

series839.0ms

Counts

4 → 12

Calls

4 calls:

418.0ms	(log (+ (/ 1.0 x) (/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x))))
173.0ms	(+ (/ 1.0 x) (/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x)))
92.0ms	(/ (sqrt (- 1.0 (* x x))) (sqrt x))
155.0ms	(/ (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt x))

simplify912.0ms

Counts: 457 → 457

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify771.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.2s	24032×	body	80	nan
640.0ms	8000×	body	80	valid