Details

sample60.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
6.0ms	92×	body	80	nan

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 28

Calls

2 calls:

24.0ms	(+ (* x x) y)
23.0ms	(sqrt (+ (* x x) y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x x) y)
67.0ms	(sqrt (+ (* x x) y))

simplify4.1s

Counts

34 → 34

Iterations

Iter	Nodes
done	5001
3	1348
2	397
1	148
0	61

prune415.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

37.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify3.6s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	1569
2	528
1	159
0	68

prune306.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

56.0ms

(* 1/2 (/ y x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* 1/2 (/ y x))

simplify4.0s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	1620
2	495
1	172
0	69

prune339.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes720.0ms

Accuracy

99% (0.2b remaining)

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

bsearch91.0ms

Steps

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

simplify11.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

476.0ms	8000×	body	80	valid
142.0ms	2776×	body	80	nan