Details

sample35.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
2.0ms	55×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
18.0b	(sqrt (+ (* x x) y))

rewrite19.0ms

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:

8.0ms	(+ (* x x) y)
10.0ms	(sqrt (+ (* x x) y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) y)
53.0ms	(sqrt (+ (* x x) y))

simplify5.1s

Counts

38 → 38

Iterations

Useful iterations: 3 (1.7s)

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

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify4.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (19.0ms)

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

prune66.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

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)

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify3.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (13.0ms)

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

prune47.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes299.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.1b

bsearch84.0ms

Steps

Iters	Range		Point
10	7.764823604878808e+84	1.062611665094897e+97	1.0458219696427684e+97
10	-2.6311241885405294e+166	-1.626953607814572e+151	-1.3014522151396273e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample929.0ms

Algorithm

intervals

Results

346.0ms	8000×	body	80	valid
114.0ms	2689×	body	80	nan