Details

sample181.0ms

Algorithm

intervals

Results

31.0ms	256×	body	80	valid
29.0ms	263×	body	80	nan

simplify50.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	21
3	21
2	19
1	16
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b	(sqrt (/ (- 1 x) (+ 1 x)))
0.0b	(/ (- 1 x) (+ 1 x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
49×	`times-frac`
30×	`sqrt-prod`
26×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
6×	`associate-/l*`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

3 → 103

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
19.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
29.0ms	(/ (- 1 x) (+ 1 x))

series108.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
47.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
57.0ms	(/ (- 1 x) (+ 1 x))

simplify5.8s

Counts

112 → 112

Iterations

Iter	Nodes
4	5069
3	1817
2	739
1	331
0	168

prune821.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))
0.0b	(/ (- 1 x) (- 1 (* x x)))
0.0b	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
0.0b	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
61×	`times-frac`
50×	`difference-of-squares`
36×	`associate-l`
30×	`add-cube-cbrt`
12×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`flip3--` `flip--`
6×	`associate-r` `associate-/l*`
5×	`associate-/r*` `sqrt-div`
4×	`frac-times` `associate-*r/` `associate-/r/` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub` `*-commutative` `sqrt-prod`

Counts

4 → 151

Calls

4 calls:

1.0ms	(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))
31.0ms	(/ (- 1 x) (- 1 (* x x)))
28.0ms	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
74.0ms	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

series205.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))
46.0ms	(/ (- 1 x) (- 1 (* x x)))
98.0ms	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
55.0ms	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

simplify12.0s

Counts

163 → 163

Iterations

Iter	Nodes
3	7021
2	1624
1	605
0	238

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

902.0ms	8000×	body	80	valid
849.0ms	7861×	body	80	nan