Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	92×	body	80	nan

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	5

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.1b

localize22.0ms

Local error

Found 1 expressions with local error:

20.5b

(sqrt (fma x x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

10.0ms

(sqrt (fma x x y))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(sqrt (fma x x y))

simplify6.3s

Counts

19 → 19

Iterations

Iter	Nodes
done	5002
5	2990
4	1106
3	437
2	175
1	77
0	38

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
20.5b	(sqrt (+ (* x x) y))

rewrite75.0ms

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-+` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `fma-def` `sqrt-pow1` `pow1/2` `hypot-def`

Counts

2 → 34

Calls

2 calls:

33.0ms	(+ (* x x) y)
39.0ms	(sqrt (+ (* x x) y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) y)
68.0ms	(sqrt (+ (* x x) y))

simplify3.3s

Counts

40 → 40

Iterations

Iter	Nodes
done	5009
3	1567
2	435
1	157
0	65

prune457.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 1 expressions with local error:

0.0b	(* -1/2 (/ y x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

27.0ms

(* -1/2 (/ y x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* -1/2 (/ y x))

simplify3.6s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	1467
2	519
1	176
0	71

prune381.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune2.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes672.0ms

Accuracy

99% (0.2b remaining)

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

bsearch109.0ms

Steps

Iters	Range		Point
8	1.4909145897464132e+85	9.048956369066104e+87	3.9127043430585563e+87
9	-2.3877474970773425e+156	-2.0044150779320932e+149	-1.3410577693198698e+154

simplify15.0ms

Iterations

Iter	Nodes
done	19
1	19
0	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

928.0ms	8000×	body	80	valid
178.0ms	2776×	body	80	nan