Details

sample67.0ms

Algorithm

intervals

Results

27.0ms	61×	body	1280	valid
13.0ms	42×	body	640	valid
8.0ms	130×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.4s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize28.0ms

Local error

Found 3 expressions with local error:

1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

Slowest

59.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
20.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

93.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
37.0ms	(/ 2 (+ 1 (exp (* -2 x))))
12.0ms	(+ 1 (exp (* -2 x)))

simplify1.7s

Counts: 76 → 76

prune681.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (/ (sqrt 2) (/ (+ 1 (exp (* -2 x))) (sqrt 2))) 1)
0.7b	(/ (+ 1 (exp (* -2 x))) (sqrt 2))
0.0b	(/ (sqrt 2) (/ (+ 1 (exp (* -2 x))) (sqrt 2)))
0.0b	(+ 1 (exp (* -2 x)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

390×	`times-frac`
293×	`*-un-lft-identity`
242×	`add-sqr-sqrt`
201×	`sqrt-prod`
184×	`add-cube-cbrt`
50×	`distribute-lft-out`
34×	`associate-/r*`
14×	`difference-of-squares`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/l*`
9×	`div-inv`
8×	`add-log-exp`
7×	`difference-of-sqr-1`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

4 → 315

Calls

4 calls:

Slowest

89.0ms	(- (/ (sqrt 2) (/ (+ 1 (exp (* -2 x))) (sqrt 2))) 1)
28.0ms	(/ (+ 1 (exp (* -2 x))) (sqrt 2))
14.0ms	(/ (sqrt 2) (/ (+ 1 (exp (* -2 x))) (sqrt 2)))
5.0ms	(+ 1 (exp (* -2 x)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(- (/ (sqrt 2) (/ (+ 1 (exp (* -2 x))) (sqrt 2))) 1)
125.0ms	(/ (sqrt 2) (/ (+ 1 (exp (* -2 x))) (sqrt 2)))
91.0ms	(/ (+ 1 (exp (* -2 x))) (sqrt 2))
18.0ms	(+ 1 (exp (* -2 x)))

simplify1.1s

Counts: 327 → 327

prune3.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 1/3 (* x x))
0.1b	(* (* 1/3 (* x x)) x)
0.0b	(+ x (- 0 (* (* 1/3 (* x x)) x)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`associate-+r+` `sum-log` `*-commutative` `sub0-neg`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `unsub-neg` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

Slowest

62.0ms	(* (* 1/3 (* x x)) x)
13.0ms	(* 1/3 (* x x))
9.0ms	(+ x (- 0 (* (* 1/3 (* x x)) x)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

119.0ms	(+ x (- 0 (* (* 1/3 (* x x)) x)))
64.0ms	(* (* 1/3 (* x x)) x)
45.0ms	(* 1/3 (* x x))

simplify988.0ms

Counts: 70 → 70

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(* (sqrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (sqrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
0.0b	(+ 1 (exp (* -2 x)))

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
58×	`sqrt-prod`
48×	`*-un-lft-identity`
28×	`difference-of-squares`
22×	`times-frac`
21×	`swap-sqr`
19×	`pow1`
16×	`difference-of-sqr-1`
13×	`associate-r` `associate-l`
12×	`sqrt-div` `add-cube-cbrt`
10×	`add-log-exp`
8×	`sqrt-pow1` `flip3--` `pow1/2` `flip--` `distribute-lft-out--`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `flip3-+` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 138

Calls

4 calls:

Slowest

296.0ms	(* (sqrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (sqrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
88.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
63.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
12.0ms	(+ 1 (exp (* -2 x)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
79.0ms	(* (sqrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (sqrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
70.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
19.0ms	(+ 1 (exp (* -2 x)))

simplify854.0ms

Counts: 150 → 150

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes411.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.0b

bsearch132.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	1705×	body	1280	valid
511.0ms	1256×	body	640	valid
423.0ms	4119×	body	80	valid
187.0ms	633×	body	320	valid
47.0ms	287×	body	160	valid