Details

sample170.0ms

Algorithm

intervals

Results

30.0ms	256×	body	80	valid
29.0ms	263×	body	80	nan

simplify79.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite62.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 109

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
21.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
35.0ms	(/ (- 1 x) (+ 1 x))

series152.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
78.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
67.0ms	(/ (- 1 x) (+ 1 x))

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
3	2406
2	802
1	348
0	174

prune843.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

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))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
61×	`times-frac`
50×	`difference-of-squares`
42×	`add-cube-cbrt`
36×	`associate-l`
18×	`prod-diff`
12×	`distribute-lft-out--`
11×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`flip3--` `flip--`
6×	`associate-r` `associate-/l*`
5×	`associate-/r*` `sqrt-div`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 177

Calls

4 calls:

1.0ms	(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))
19.0ms	(/ (- 1 x) (- 1 (* x x)))
35.0ms	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
38.0ms	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

series125.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))
28.0ms	(/ (- 1 x) (- 1 (* x x)))
59.0ms	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
34.0ms	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

simplify947.0ms

Counts

189 → 189

Iterations

Iter	Nodes
2	2021
1	747
0	294

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

2.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify7.8s

Counts

13 → 13

Iterations

Iter	Nodes
10	7786
9	1762
8	756
7	411
6	267
5	194
4	118
3	74
2	49
1	35
0	26

prune116.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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

sample2.5s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
848.0ms	7861×	body	80	nan