Details

sample235.0ms

Algorithm

intervals

Results

43.0ms	805×	body	80	nan
17.0ms	256×	body	80	valid

simplify26.0ms

Counts: 1 → 1

prune66.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.0b	(log (- (/ 1.0 x) 1.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`log-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log` `add-cube-cbrt`
2×	`log-div` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 32

Calls

2 calls:

33.0ms	(- (/ 1.0 x) 1.0)
25.0ms	(log (- (/ 1.0 x) 1.0))

series186.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (/ 1.0 x) 1.0)
134.0ms	(log (- (/ 1.0 x) 1.0))

simplify961.0ms

Counts: 38 → 38

prune166.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt (/ 1.0 x)) (sqrt 1.0))
0.0b	(+ (log (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
0.1b	(sqrt (/ 1.0 x))
0.1b	(sqrt (/ 1.0 x))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
46×	`sqrt-prod`
36×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-cube-cbrt`
16×	`log-prod`
12×	`difference-of-squares`
11×	`associate-+r+`
10×	`pow1`
6×	`distribute-lft-out` `add-log-exp`
5×	`associate-+l+`
4×	`add-exp-log` `rem-sqrt-square` `log-div` `log-pow` `add-cbrt-cube` `distribute-lft-out--`
2×	`associate-+l-` `associate-+r-` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `flip--` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 105

Calls

4 calls:

32.0ms	(- (sqrt (/ 1.0 x)) (sqrt 1.0))
97.0ms	(+ (log (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
8.0ms	(sqrt (/ 1.0 x))
8.0ms	(sqrt (/ 1.0 x))

series692.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (sqrt (/ 1.0 x)) (sqrt 1.0))
428.0ms	(+ (log (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
90.0ms	(sqrt (/ 1.0 x))
68.0ms	(sqrt (/ 1.0 x))

simplify666.0ms

Counts: 117 → 117

prune505.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (/ (pow x 2) (pow 1.0 2)))
0.0b	(+ (log x) (+ (* 1.0 x) (* 0.5 (/ (pow x 2) (pow 1.0 2)))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
71×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
40×	`*-un-lft-identity`
37×	`add-cube-cbrt`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`pow1` `add-log-exp`
3×	`associate-+l+` `log-prod` `associate-l` `sum-log`
2×	`cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `flip3-+` `associate-r/` `pow-prod-down` `log-pow` `-commutative` `flip-+` `div-inv`

Counts

2 → 128

Calls

2 calls:

46.0ms	(* 0.5 (/ (pow x 2) (pow 1.0 2)))
21.0ms	(+ (log x) (+ (* 1.0 x) (* 0.5 (/ (pow x 2) (pow 1.0 2)))))

series175.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(* 0.5 (/ (pow x 2) (pow 1.0 2)))
76.0ms	(+ (log x) (+ (* 1.0 x) (* 0.5 (/ (pow x 2) (pow 1.0 2)))))

simplify1.1s

Counts: 134 → 134

prune581.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

bsearch0.0ms

simplify21.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	24142×	body	80	nan
418.0ms	8000×	body	80	valid