Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

295×

body

valid

simplify91.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	3
done	5002	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

12.0ms	(- (* (+ x 1.0) y) x)
21.0ms	(* (+ x 1.0) y)

series53.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- (* (+ x 1.0) y) x)
29.0ms	(* (+ x 1.0) y)

simplify69.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3110	145
3	5001	145
done	5001	145

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

40.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))

series345.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
81.0ms	(cbrt (+ x 1.0))
83.0ms	(cbrt (+ x 1.0))
83.0ms	(cbrt (+ x 1.0))

simplify159.0ms

Counts

107 → 107

Iterations

Useful iterations: 3 (150.0ms)

Iter	Nodes	Cost
0	306	792
1	995	747
2	4414	669
3	5003	665
done	5003	665

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
5.4b	(* (- (* x x) (* 1.0 1.0)) y)
9.9b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

54.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
27.0ms	(* (- (* x x) (* 1.0 1.0)) y)
29.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
40.0ms	(* (- (* x x) (* 1.0 1.0)) y)
62.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify54.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	344	562
1	1658	502
2	5002	493
done	5002	493

prune140.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3
done	8	3

end0.0ms

sample345.0ms

Algorithm

intervals

Results

150.0ms	9197×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid