Details

sample122.0ms

Algorithm

intervals

Results

46.0ms	231×	body	80	nan
21.0ms	256×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
49×	`times-frac`
30×	`sqrt-prod`
28×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`sqrt-div`
14×	`distribute-lft-out`
12×	`associate-/l*`
10×	`distribute-lft-out--`
8×	`associate-/r*`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r/` `associate-/l/`
3×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--`
1×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `div-sub` `div-exp`

Counts

3 → 117

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
40.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
39.0ms	(/ (- 1 x) (+ 1 x))

series567.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
511.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
49.0ms	(/ (- 1 x) (+ 1 x))

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5203
3	2711
2	785
1	366
0	188

prune465.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite399.0ms

Algorithm

rewrite-expression-head

Rules

1396×	`times-frac`
1324×	`*-un-lft-identity`
1163×	`sqrt-prod`
934×	`add-sqr-sqrt`
550×	`add-cube-cbrt`
244×	`difference-of-squares`
204×	`distribute-lft-out`
122×	`distribute-lft-out--`
116×	`sqrt-div`
114×	`associate-/l*`
42×	`associate-/l/`
38×	`associate-/r/`
35×	`associate-/r*`
20×	`flip3-+` `flip-+`
19×	`div-inv`
11×	`add-cbrt-cube` `add-exp-log`
8×	`rem-sqrt-square`
6×	`pow1`
5×	`clear-num` `frac-2neg`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`flip3--` `div-sub` `flip--`
2×	`sqrt-pow1` `pow1/2`

Counts

4 → 952

Calls

4 calls:

13.0ms	(sqrt (+ 1 x))
127.0ms	(sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))
123.0ms	(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))
32.0ms	(/ (- 1 x) (sqrt (+ 1 x)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ 1 x))
63.0ms	(sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))
32.0ms	(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))
65.0ms	(/ (- 1 x) (sqrt (+ 1 x)))

simplify2.6s

Counts

964 → 964

Iterations

Iter	Nodes
done	5001
2	3144
1	1500
0	796

prune3.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

4136×	`add-sqr-sqrt`
3899×	`sqrt-prod`
3802×	`times-frac`
3688×	`*-un-lft-identity`
2049×	`associate-l`
1776×	`difference-of-squares`
1150×	`add-cube-cbrt`
555×	`distribute-lft-out--`
453×	`sqrt-div`
336×	`unswap-sqr`
322×	`associate-/l*`
270×	`distribute-lft-out`
239×	`*-commutative`
222×	`swap-sqr`
196×	`associate-/l/`
176×	`associate-/r*`
174×	`frac-times`
153×	`associate-r`
117×	`flip3--` `flip--`
87×	`associate-*l/`
38×	`associate-/r/`
19×	`div-inv`
18×	`add-cbrt-cube` `add-exp-log`
16×	`rem-sqrt-square`
11×	`clear-num` `frac-2neg`
8×	`pow1`
6×	`associate-*r/`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
1×	`pow-prod-down`

Counts

4 → 2640

Calls

4 calls:

14.0ms	(sqrt (- 1 x))
803.0ms	(sqrt (/ (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x))))
246.0ms	(* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x)))
790.0ms	(/ (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (- 1 x))
131.0ms	(sqrt (/ (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x))))
66.0ms	(* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x)))
104.0ms	(/ (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x)))

simplify4.6s

Counts

2652 → 2652

Iterations

Iter	Nodes
done	5018
1	4105
0	2114

prune7.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	7614×	body	80	nan
1.0s	8000×	body	80	valid