Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
2.0ms	92×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	5

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
17.7b	(sqrt (+ (* x x) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

12.0ms	(+ (* x x) y)
14.0ms	(sqrt (+ (* x x) y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x x) y)
46.0ms	(sqrt (+ (* x x) y))

simplify633.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	738
1	163
0	63

prune148.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify3.1s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	3875
4	692
3	157
2	48
1	21
0	16

prune60.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify2.7s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	3875
4	692
3	157
2	48
1	21
0	16

prune54.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.5b

bsearch66.0ms

Steps

Iters	Range		Point
11	1.8832230334659124e+24	1.4313346338374724e+48	1.4171690306065683e+48
9	-1.951179920997044e+156	-6.518035068066237e+150	-1.3378267015828925e+154

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample984.0ms

Algorithm

intervals

Results

684.0ms	8000×	body	80	valid
71.0ms	2523×	body	80	nan