Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

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:

47.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify2.7s

Counts

48 → 48

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	91	630
1	206	607
2	539	569
3	1208	560
4	3098	560
done	5000	556

prune102.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

117×	`*-un-lft-identity`
106×	`cbrt-prod`
81×	`add-sqr-sqrt` `times-frac`
45×	`add-cube-cbrt`
29×	`associate-r`
23×	`pow1`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
12×	`pow1/3`
9×	`add-exp-log` `pow-prod-up`
8×	`associate-/r/`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/` `add-cbrt-cube`
4×	`flip3--` `flip--` `div-inv` `add-log-exp`
3×	`associate-*r/` `prod-exp` `pow-sqr` `cbrt-unprod` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 171

Calls

4 calls:

208.0ms	(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
9.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
15.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
24.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

series626.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
195.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
183.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
196.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify2.0s

Counts

183 → 183

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	189	3678
1	405	3489
2	994	3094
3	2081	2993
done	5000	2960

prune636.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.1b	(* (/ 1 (- 1.0 x)) (+ 1.0 x))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-l`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*`
4×	`div-exp` `associate-r` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*r/` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 91

Calls

2 calls:

21.0ms	(/ 1 (- 1.0 x))
97.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))

series58.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1 (- 1.0 x))
34.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))

simplify2.7s

Counts

97 → 97

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	148	1118
1	458	941
2	1198	839
3	3140	826
done	5000	826

prune183.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 x))
13.7b	(/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
13×	`flip3--` `flip--`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`frac-times` `add-cube-cbrt` `associate-/r/`
7×	`swap-sqr`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-r` `associate-l`
4×	`times-frac` `associate-r/` `associate-l/` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`pow2` `frac-2neg` `pow-plus` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `unswap-sqr`

Counts

2 → 79

Calls

2 calls:

76.0ms	(* (- 1.0 x) (- 1.0 x))
58.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* (- 1.0 x) (- 1.0 x))
65.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x)))

simplify1.9s

Counts

85 → 85

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	130	1332
1	363	1245
2	1476	902
done	5001	855

prune174.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	26
1	10	26
done	10	26

end0.0ms

sample554.0ms

Algorithm

intervals

Results

348.0ms

8000×

body

valid