Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	85×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	7	5
done	7	5

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
21.2b	(sqrt (+ (* x x) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow1/2` `sum-log` `hypot-def`

Counts

2 → 32

Calls

2 calls:

12.0ms	(+ (* x x) y)
15.0ms	(sqrt (+ (* x x) y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x x) y)
58.0ms	(sqrt (+ (* x x) y))

simplify4.1s

Counts

38 → 38

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	63	345
1	163	287
2	694	250
3	4984	248
done	5000	248

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot x (sqrt y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(hypot x (sqrt y))

series111.0ms

Counts

1 → 3

Calls

1 calls:

111.0ms

(hypot x (sqrt y))

simplify3.0s

Counts

13 → 13

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	39	106
1	91	97
2	329	83
3	1880	80
done	5001	79

prune53.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (/ y x) 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 1/2 (/ y x) x)

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(fma 1/2 (/ y x) x)

simplify3.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	16	110
1	21	107
2	48	95
3	157	95
4	683	95
5	3840	95
done	5000	95

prune37.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (/ y x) 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 1/2 (/ y x) x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma 1/2 (/ y x) x)

simplify4.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	16	110
1	21	107
2	48	95
3	157	95
4	683	95
5	3840	95
done	5000	95

prune40.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes182.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.6b

bsearch62.0ms

Steps

Iters	Range		Point
3	6.598426988503463e+95	8.73093819312065e+95	8.331092342254927e+95
10	-7.015537041391403e+155	-1.2785578264641574e+145	-1.3300132858515627e+154

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	27
1	16	27
done	16	27

end0.0ms

sample883.0ms

Algorithm

intervals

Results

330.0ms	8000×	body	80	valid
126.0ms	2706×	body	80	nan