Details

sample105.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
14.0ms	239×	body	80	nan

simplify75.0ms

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

localize34.0ms

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))

rewrite46.0ms

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))))
10.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
32.0ms	(/ (- 1 x) (+ 1 x))

series116.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
63.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
46.0ms	(/ (- 1 x) (+ 1 x))

simplify1.9s

Counts

112 → 112

Iterations

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

prune479.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`associate-l`
31×	`times-frac`
24×	`difference-of-squares`
16×	`add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `distribute-lft-out--`
5×	`flip3--` `sqrt-div` `flip--`
4×	`frac-times` `associate-*r/`
3×	`insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow-prod-down` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `pow1/2` `div-exp` `*-commutative` `sqrt-prod` `div-inv`

Counts

3 → 92

Calls

3 calls:

1.0ms	(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))
11.0ms	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
42.0ms	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

series144.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))
92.0ms	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
46.0ms	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1623
1	495
0	187

prune545.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (/ (- 1 x) (- (* 1 1) (* (* x x) (* x x)))) (* (+ 1 (* x x)) (- 1 x))))
0.0b	(* (+ 1 (* x x)) (- 1 x))
0.0b	(* (/ (- 1 x) (- (* 1 1) (* (* x x) (* x x)))) (* (+ 1 (* x x)) (- 1 x)))
0.2b	(* (* x x) (* x x))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
36×	`frac-times` `pow-prod-up`
34×	`add-sqr-sqrt` `associate-l`
32×	`*-un-lft-identity`
30×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
26×	`associate-*r/`
24×	`times-frac`
22×	`pow-sqr`
18×	`pow-plus`
17×	`sqrt-div` `add-cube-cbrt`
16×	`flip3--` `flip--` `difference-of-squares`
15×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
13×	`pow2`
12×	`associate-*l/`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r`
6×	`sub-neg`
5×	`distribute-lft-out--`
4×	`insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `*-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr`
1×	`pow1/2` `swap-sqr` `sqrt-prod` `div-inv`

Counts

4 → 203

Calls

4 calls:

42.0ms	(sqrt (* (/ (- 1 x) (- (* 1 1) (* (* x x) (* x x)))) (* (+ 1 (* x x)) (- 1 x))))
35.0ms	(* (+ 1 (* x x)) (- 1 x))
136.0ms	(* (/ (- 1 x) (- (* 1 1) (* (* x x) (* x x)))) (* (+ 1 (* x x)) (- 1 x)))
21.0ms	(* (* x x) (* x x))

series246.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt (* (/ (- 1 x) (- (* 1 1) (* (* x x) (* x x)))) (* (+ 1 (* x x)) (- 1 x))))
30.0ms	(* (+ 1 (* x x)) (- 1 x))
50.0ms	(* (/ (- 1 x) (- (* 1 1) (* (* x x) (* x x)))) (* (+ 1 (* x x)) (- 1 x)))
62.0ms	(* (* x x) (* x x))

simplify2.5s

Counts

215 → 215

Iterations

Iter	Nodes
done	5011
2	3835
1	928
0	298

prune998.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

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
done	21
1	21
0	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
780.0ms	8102×	body	80	nan