Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

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))

rewrite52.0ms

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:

50.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify2.9s

Counts

48 → 48

Iterations

Useful iterations: done (2.9s)

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

prune109.0ms

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)))

rewrite250.0ms

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:

210.0ms	(* (* (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)))
9.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
10.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
199.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
238.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
202.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify2.1s

Counts

183 → 183

Iterations

Useful iterations: done (2.1s)

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

prune555.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

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:

17.0ms	(/ 1 (- 1.0 x))
81.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))

series75.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1 (- 1.0 x))
44.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))

simplify2.5s

Counts

97 → 97

Iterations

Useful iterations: 3 (1.4s)

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

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

43.0ms	(* (- 1.0 x) (- x 1.0))
35.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- 1.0 x) (- x 1.0))
82.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify1.9s

Counts

74 → 74

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	140	1215
1	397	1181
2	1745	911
done	5002	847

prune220.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample461.0ms

Algorithm

intervals

Results

286.0ms

8000×

body

valid