Details

sample300.0ms

Algorithm

intervals

Results

29.0ms	256×	body	80	valid
22.0ms	245×	body	80	nan

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	21
1	18
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize132.0ms

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))

rewrite85.0ms

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))))
50.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
30.0ms	(/ (- 1 x) (+ 1 x))

series141.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
88.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
47.0ms	(/ (- 1 x) (+ 1 x))

simplify1.9s

Counts

112 → 112

Iterations

Iter	Nodes
done	5166
3	2495
2	768
1	341
0	168

prune526.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

94×	`sqrt-prod`
87×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`times-frac`
40×	`add-cube-cbrt`
18×	`difference-of-squares`
10×	`distribute-lft-out`
9×	`associate-/l*` `distribute-lft-out--`
7×	`associate-/r*`
6×	`sqrt-div`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `flip-+` `div-inv`

Counts

3 → 124

Calls

3 calls:

11.0ms	(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
6.0ms	(sqrt (- 1 x))
20.0ms	(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
31.0ms	(sqrt (- 1 x))
53.0ms	(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))

simplify2.8s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
4	3211
3	1300
2	596
1	317
0	182

prune357.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

207×	`sqrt-prod`
191×	`add-sqr-sqrt`
171×	`*-un-lft-identity`
154×	`times-frac`
78×	`add-cube-cbrt`
51×	`associate-r`
30×	`associate-l` `difference-of-squares`
24×	`unswap-sqr`
20×	`distribute-lft-out`
15×	`distribute-lft-out--`
14×	`associate-/r*`
12×	`sqrt-div` `add-exp-log`
10×	`pow1` `add-cbrt-cube`
9×	`associate-/l*`
8×	`associate-/r/`
4×	`flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `div-exp` `pow-prod-down` `pow-flip`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `rec-exp` `flip3--` `sqrt-unprod` `1-exp` `div-sub` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `inv-pow`

Counts

4 → 256

Calls

4 calls:

2.0ms	(atan (* (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x))))))
95.0ms	(* (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))
18.0ms	(/ (- 1 x) (sqrt (+ 1 x)))
16.0ms	(/ 1 (sqrt (+ 1 x)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(atan (* (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x))))))
62.0ms	(* (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))
68.0ms	(/ (- 1 x) (sqrt (+ 1 x)))
55.0ms	(/ 1 (sqrt (+ 1 x)))

simplify3.2s

Counts

268 → 268

Iterations

Iter	Nodes
done	5030
3	4743
2	1438
1	660
0	336

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

925.0ms	8000×	body	80	valid
697.0ms	8098×	body	80	nan