Details

sample45.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
13.0ms	256×	body	80	nan

simplify29.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	65
4	65
3	61
2	43
1	22
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize30.0ms

Local error

Found 2 expressions with local error:

0.5b	(fma (+ x y) z (* y x))
17.2b	(sqrt (fma (+ x y) z (* y x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

0.0ms	(fma (+ x y) z (* y x))
3.0ms	(sqrt (fma (+ x y) z (* y x)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma (+ x y) z (* y x))
173.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify2.0s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
4	3328
3	709
2	230
1	107
0	53

prune207.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 17.2b

localize25.0ms

Local error

Found 2 expressions with local error:

0.5b	(fma (+ x y) z (* y x))
17.2b	(pow (fma (+ x y) z (* y x)) 1/2)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `pow-unpow` `unpow-prod-down` `add-exp-log`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-pow` `pow-exp` `fma-udef` `unpow1/2` `sqr-pow`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (+ x y) z (* y x))
3.0ms	(pow (fma (+ x y) z (* y x)) 1/2)

series327.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma (+ x y) z (* y x))
290.0ms	(pow (fma (+ x y) z (* y x)) 1/2)

simplify2.8s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
4	4879
3	1417
2	491
1	195
0	78

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 14.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma (+ x y) z (* y x))
0.5b	(fma (+ x y) z (* y x))
17.5b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
17.5b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow-unpow`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
6×	`pow1` `unpow-prod-down` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `fma-udef` `div-inv` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (+ x y) z (* y x))
1.0ms	(fma (+ x y) z (* y x))
7.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
7.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

series797.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (+ x y) z (* y x))
52.0ms	(fma (+ x y) z (* y x))
305.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
398.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

simplify1.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5004
3	1725
2	595
1	242
0	98

prune708.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 14.7b

localize40.0ms

Local error

Found 4 expressions with local error:

17.5b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
17.5b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
17.5b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
17.5b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow-unpow`
36×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
12×	`unpow-prod-down`
8×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-to-exp` `pow-pow` `add-cbrt-cube` `pow-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

4.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
4.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
4.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
5.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

series1.6s

Counts

4 → 12

Calls

4 calls:

418.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
419.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
377.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
385.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

simplify2.0s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
3	1448
2	525
1	220
0	86

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 14.7b

regimes251.0ms

Accuracy

17% (2.7b remaining)

Error of 17.7b against oracle of 15.0b and baseline of 18.3b

bsearch81.0ms

Steps

Iters	Range		Point
7	4.28683845277973e+215	9.912991473999837e+217	8.73433001687622e+216

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
646.0ms	7974×	body	80	nan