Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

289×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	21	7
3	49	7
4	61	7
5	65	7
6	77	7
7	97	7
8	133	7
9	206	7
10	274	7
11	309	7
12	359	7
13	426	7
14	583	7
15	691	7
16	811	7
17	835	7
18	839	7
done	839	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)

rewrite41.0ms

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:

14.0ms	(- (* (+ x 1.0) y) x)
26.0ms	(* (+ x 1.0) y)

series58.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (* (+ x 1.0) y) x)
36.0ms	(* (+ x 1.0) y)

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	84	459
1	194	400
2	631	367
3	2707	360
done	5000	354

prune110.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify2.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	20	128
1	31	122
2	81	108
3	386	108
4	2568	108
done	5001	108

prune61.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

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:

17.0ms	(sqrt (+ x 1.0))
16.0ms	(sqrt (+ x 1.0))
39.0ms	(* (sqrt (+ x 1.0)) y)
73.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series252.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (+ x 1.0))
51.0ms	(sqrt (+ x 1.0))
117.0ms	(* (sqrt (+ x 1.0)) y)
40.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify2.7s

Counts

109 → 109

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	135	1259
1	330	1013
2	907	905
3	2586	895
done	5000	893

prune384.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

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

end0.0ms

sample740.0ms

Algorithm

intervals

Results

472.0ms	9160×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid