Details

sample291.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
7.0ms	282×	body	80	nan

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	19	11
3	21	11
done	21	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 91

Calls

3 calls:

0.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
13.0ms	(/ (- 1.0 x) (+ 1.0 x))

series149.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
95.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
51.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: 3 (497.0ms)

Iter	Nodes	Cost
0	167	1451
1	352	1376
2	848	1284
3	2269	1268
done	5000	1268

prune212.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)))
0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(pow (/ (- 1.0 x) (+ x 1.0)) 3)
0.0b	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
145×	`add-sqr-sqrt`
142×	`times-frac`
122×	`cbrt-prod`
80×	`unpow-prod-down` `cube-prod`
79×	`add-cube-cbrt`
61×	`sqrt-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv`
6×	`pow1`
5×	`associate-/l*`
4×	`associate-/r*` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3`
2×	`cbrt-undiv` `cbrt-div` `sqrt-pow1` `pow1/3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/2` `sqrt-div` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

4 → 265

Calls

4 calls:

30.0ms	(sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)))
11.0ms	(/ (- 1.0 x) (+ x 1.0))
12.0ms	(pow (/ (- 1.0 x) (+ x 1.0)) 3)
15.0ms	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

series219.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)))
33.0ms	(/ (- 1.0 x) (+ x 1.0))
63.0ms	(pow (/ (- 1.0 x) (+ x 1.0)) 3)
34.0ms	(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

simplify888.0ms

Counts

277 → 277

Iterations

Useful iterations: 2 (376.0ms)

Iter	Nodes	Cost
0	280	5212
1	694	4114
2	2058	3813
done	5000	3813

prune421.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3))
0.0b	(pow (- 1.0 x) 3)
0.0b	(cbrt (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)))
0.1b	(pow (+ x 1.0) 3)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

453×	`*-un-lft-identity`
448×	`times-frac`
317×	`add-sqr-sqrt`
286×	`unpow-prod-down` `cube-prod`
230×	`cbrt-prod`
197×	`add-cube-cbrt`
68×	`distribute-lft-out`
64×	`cube-mult` `unpow3` `sqr-pow`
60×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log`
16×	`associate-/l*`
14×	`associate-/r*`
10×	`cube-div`
9×	`div-exp`
8×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `pow-unpow`
4×	`associate-/r/` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`flip3--` `pow-pow` `flip--` `div-inv` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cbrt-div` `frac-2neg` `pow1/3` `clear-num`

Counts

4 → 573

Calls

4 calls:

30.0ms	(/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3))
5.0ms	(pow (- 1.0 x) 3)
21.0ms	(cbrt (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)))
5.0ms	(pow (+ x 1.0) 3)

series170.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3))
28.0ms	(pow (- 1.0 x) 3)
40.0ms	(cbrt (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)))
27.0ms	(pow (+ x 1.0) 3)

simplify1.2s

Counts

585 → 585

Iterations

Useful iterations: 2 (506.0ms)

Iter	Nodes	Cost
0	436	13474
1	785	10833
2	3309	10051
done	5000	10051

prune646.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	15	16
done	15	16

end0.0ms

sample735.0ms

Algorithm

intervals

Results

314.0ms	8000×	body	80	valid
217.0ms	8246×	body	80	nan