Details

sample147.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
17.0ms	245×	body	80	nan

simplify35.0ms

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

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))

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×	`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))))
22.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
57.0ms	(/ (- 1 x) (+ 1 x))

series135.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
82.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
48.0ms	(/ (- 1 x) (+ 1 x))

simplify2.3s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
3	2236
2	795
1	360
0	174

prune444.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

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)))

rewrite41.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 130

Calls

3 calls:

15.0ms	(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
6.0ms	(sqrt (- 1 x))
15.0ms	(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
32.0ms	(sqrt (- 1 x))
69.0ms	(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))

simplify3.2s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
4	3485
3	1383
2	606
1	330
0	188

prune572.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
173×	`times-frac`
156×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
60×	`associate-r`
57×	`add-cbrt-cube` `add-exp-log`
54×	`swap-sqr`
50×	`distribute-lft-out`
48×	`difference-of-squares`
36×	`distribute-lft-out--`
31×	`pow1` `associate-l`
22×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
16×	`frac-times` `associate-*l/`
14×	`cbrt-div`
10×	`associate-*r/` `associate-/r/`
7×	`pow-plus` `sqrt-div` `pow-prod-up`
6×	`unswap-sqr`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`cbrt-prod` `sqrt-pow1` `pow1/3` `pow3` `*-commutative`
1×	`rem-sqrt-square` `pow1/2` `rem-cbrt-cube`

Counts

4 → 272

Calls

4 calls:

7.0ms	(sqrt (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))))
75.0ms	(* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))
105.0ms	(* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
63.0ms	(cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))))
50.0ms	(* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x)))
43.0ms	(* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
38.0ms	(cbrt (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))))

simplify2.8s

Counts

284 → 284

Iterations

Iter	Nodes
done	5000
2	3883
1	1051
0	315

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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

sample1.8s

Algorithm

intervals

Results

999.0ms	8000×	body	80	valid
621.0ms	8098×	body	80	nan