Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

292×

body

valid

simplify12.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	21	7
3	37	7
4	51	7
5	55	7
6	67	7
7	87	7
8	139	7
9	290	7
10	418	7
11	530	7
12	746	7
13	1026	7
14	1281	7
15	1693	7
16	2354	7
done	5000	7

prune2.0ms

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)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `prod-diff`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

5.0ms	(- (* (+ x 1.0) y) x)
10.0ms	(* (+ x 1.0) y)

series54.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.7s

Counts

47 → 47

Iterations

Useful iterations: 3 (426.0ms)

Iter	Nodes	Cost
0	84	459
1	208	400
2	808	364
3	3794	360
done	5001	360

prune84.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (+ x 1.0) y (- x))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(fma (+ x 1.0) y (- x))

simplify692.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	20	128
1	30	122
2	82	108
3	316	108
4	1681	108
done	5001	108

prune26.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(sqrt (+ x 1.0))
0.1b	(* (sqrt (+ x 1.0)) y)
0.1b	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

4.0ms	(sqrt (+ x 1.0))
4.0ms	(sqrt (+ x 1.0))
14.0ms	(* (sqrt (+ x 1.0)) y)
24.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series184.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ x 1.0))
31.0ms	(sqrt (+ x 1.0))
88.0ms	(* (sqrt (+ x 1.0)) y)
29.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify2.3s

Counts

109 → 109

Iterations

Useful iterations: 3 (458.0ms)

Iter	Nodes	Cost
0	135	1259
1	335	1013
2	1072	905
3	4477	895
done	5000	895

prune225.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample298.0ms

Algorithm

intervals

Results

160.0ms

9141×

body

valid