Details

sample136.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
22.0ms	262×	body	80	nan

simplify308.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:

21.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
28.0ms	(/ (- 1.0 x) (+ 1.0 x))
2.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series174.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
39.0ms	(/ (- 1.0 x) (+ 1.0 x))
18.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify2.0s

Counts

100 → 100

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	167	1451
1	356	1376
2	865	1284
3	2147	1268
done	5000	1252

prune351.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
100×	`times-frac`
99×	`add-sqr-sqrt`
58×	`cbrt-prod`
57×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`associate-/r*` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

4 → 193

Calls

4 calls:

24.0ms	(/ (- 1.0 x) (+ 1.0 x))
1.0ms	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
43.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
27.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

series210.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- 1.0 x) (+ 1.0 x))
5.0ms	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
62.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
82.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

simplify1.4s

Counts

205 → 205

Iterations

Useful iterations: 2 (494.0ms)

Iter	Nodes	Cost
0	208	3622
1	568	3004
2	1683	2747
done	5000	2747

prune577.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 2))
0.0b	(pow (/ (- 1.0 x) (+ 1.0 x)) 2)
0.0b	(pow (* (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 2)) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) 3)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
58×	`cbrt-prod`
53×	`unpow-prod-down`
37×	`add-cube-cbrt`
15×	`distribute-lft-out`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log`
8×	`pow1`
6×	`pow-unpow` `associate-/r/`
5×	`pow-pow` `add-cbrt-cube`
4×	`pow1/3` `pow-exp` `add-log-exp`
3×	`flip3-+` `flip-+` `div-inv` `unpow2` `sqr-pow`
2×	`pow-to-exp` `cbrt-div` `pow-prod-down` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `unpow3` `cube-prod` `associate-*r/` `div-exp` `pow3` `prod-exp` `cbrt-unprod`

Counts

4 → 141

Calls

4 calls:

17.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
36.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 2))
38.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 2)
54.0ms	(pow (* (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 2)) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) 3)

series646.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
267.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 2))
68.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 2)
106.0ms	(pow (* (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 2)) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) 3)

simplify1.9s

Counts

153 → 153

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	276	2907
1	618	2554
2	1601	2266
done	5000	2216

prune811.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
19×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`pow1`
13×	`flip3--` `flip--`
10×	`add-cube-cbrt` `cbrt-div`
9×	`frac-times`
7×	`swap-sqr` `distribute-lft-out--`
6×	`cbrt-prod`
5×	`associate-r/` `associate-r` `associate-l` `associate-l/` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`cube-div` `pow-unpow`
2×	`distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `pow1/3` `pow-prod-down`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `pow-plus` `unpow3` `cube-prod` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

8.0ms	(cbrt (- 1.0 x))
31.0ms	(cbrt (* (- 1.0 x) (- 1.0 x)))
73.0ms	(* (- 1.0 x) (- 1.0 x))
46.0ms	(pow (* (/ (cbrt (* (- 1.0 x) (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3)

series457.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (- 1.0 x))
153.0ms	(cbrt (* (- 1.0 x) (- 1.0 x)))
36.0ms	(* (- 1.0 x) (- 1.0 x))
104.0ms	(pow (* (/ (cbrt (* (- 1.0 x) (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3)

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	228	2017
1	544	1860
2	1760	1534
done	5001	1340

prune691.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	26
1	20	26
done	20	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

761.0ms	8000×	body	80	valid
478.0ms	7984×	body	80	nan