Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

174.0ms

(/ (+ x 1.0) (- 1.0 x))

series59.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify4.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
3	1734
2	559
1	211
0	91

prune805.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

51.0ms	(/ (- 1.0 x) (+ x 1.0))
49.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(/ (- 1.0 x) (+ x 1.0))
99.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify3.8s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	1510
1	602
0	228

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
0.0b	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

rewrite572.0ms

Algorithm

rewrite-expression-head

Rules

284×	`*-un-lft-identity`
168×	`times-frac`
146×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
50×	`distribute-lft-out`
48×	`swap-sqr`
42×	`distribute-lft-out--`
30×	`difference-of-squares`
26×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r/`
11×	`pow1`
10×	`associate-/r*`
8×	`associate-/l*`
7×	`cbrt-div`
6×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `div-inv`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube`

Counts

4 → 235

Calls

4 calls:

56.0ms	(/ (+ x 1.0) (- 1.0 x))
62.0ms	(/ (+ x 1.0) (- 1.0 x))
229.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
171.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

series897.0ms

Counts

4 → 12

Calls

4 calls:

399.0ms	(/ (+ x 1.0) (- 1.0 x))
113.0ms	(/ (+ x 1.0) (- 1.0 x))
257.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
127.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

simplify10.8s

Counts

247 → 247

Iterations

Iter	Nodes
done	5002
2	2526
1	718
0	212

prune3.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize333.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 244

Calls

4 calls:

18.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
17.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
16.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
248.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

series1.7s

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
390.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
454.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
610.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

simplify7.3s

Counts

256 → 256

Iterations

Iter	Nodes
done	5003
3	2359
2	967
1	422
0	223

prune2.8s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes402.0ms

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	6
1	6
0	5

end7.0ms

sample859.0ms

Algorithm

intervals

Results

645.0ms

8000×

body

valid