Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

292×

body

valid

simplify11.3s

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	129	7
9	216	7
10	274	7
11	327	7
12	440	7
13	603	7
14	738	7
15	929	7
16	1493	7
17	4259	7
done	5001	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)

rewrite22.0ms

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:

6.0ms	(- (* (+ x 1.0) y) x)
15.0ms	(* (+ x 1.0) y)

series46.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- (* (+ x 1.0) y) x)
27.0ms	(* (+ x 1.0) y)

simplify1.9s

Counts

47 → 47

Iterations

Useful iterations: 3 (518.0ms)

Iter	Nodes	Cost
0	84	459
1	191	400
2	686	364
3	3277	354
done	5000	354

prune81.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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:

0.0ms

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

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify733.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	20	128
1	30	122
2	79	108
3	312	108
4	1664	108
done	5000	108

prune31.0ms

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))
12.0ms	(* (sqrt (+ x 1.0)) y)
25.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series179.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ x 1.0))
30.0ms	(sqrt (+ x 1.0))
88.0ms	(* (sqrt (+ x 1.0)) y)
30.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify1.5s

Counts

109 → 109

Iterations

Useful iterations: 3 (609.0ms)

Iter	Nodes	Cost
0	135	1259
1	331	1013
2	949	905
3	3645	895
done	5001	895

prune238.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	10	7
done	10	7

end0.0ms

sample311.0ms

Algorithm

intervals

Results

169.0ms

9141×

body

valid