Details

sample116.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
12.0ms	284×	body	80	nan

simplify6.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

2 → 84

Calls

2 calls:

18.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
59.0ms	(/ (- 1.0 x) (+ 1.0 x))

series156.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
45.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify35.0ms

Counts: 90 → 90

prune213.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 x))
0.0b	(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
0.0b	(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
0.0b	(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

184×	`*-un-lft-identity`
91×	`times-frac`
79×	`add-sqr-sqrt`
55×	`distribute-lft-out`
51×	`associate-l`
44×	`unpow-prod-down` `cube-prod`
36×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `sum-cubes` `add-cbrt-cube`
9×	`pow1` `associate-/r*`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`sqrt-div` `associate-/l*`
4×	`frac-times` `associate-*r/` `associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `pow1/2` `diff-log` `div-sub` `clear-num` `sqrt-prod` `*-commutative`

Counts

4 → 181

Calls

4 calls:

8.0ms	(- (* x x) (* 1.0 x))
44.0ms	(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
48.0ms	(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
159.0ms	(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* x x) (* 1.0 x))
136.0ms	(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
54.0ms	(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
75.0ms	(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify100.0ms

Counts: 193 → 193

prune533.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

806.0ms	8000×	body	80	valid
399.0ms	8241×	body	80	nan