Details

sample106.0ms

Algorithm

intervals

Results

49.0ms	256×	body	80	valid
34.0ms	273×	body	80	nan

simplify45.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.5b

localize19.0ms

Local error

Found 2 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
18.5b	(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)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (+ x y) z (* y x))
184.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify2.4s

Counts

33 → 33

Iterations

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

prune184.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.5b

localize23.0ms

Local error

Found 2 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
18.5b	(pow (fma (+ x y) z (* y x)) 1/2)

rewrite3.0ms

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))
2.0ms	(pow (fma (+ x y) z (* y x)) 1/2)

series290.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma (+ x y) z (* y x))
264.0ms	(pow (fma (+ x y) z (* y x)) 1/2)

simplify3.0s

Counts

38 → 38

Iterations

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

prune268.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 16.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
18.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`fma-def` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `sum-log`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 54

Calls

3 calls:

15.0ms	(+ (* x y) (* x z))
53.0ms	(+ (+ (* x y) (* x z)) (* y z))
56.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series295.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* x y) (* x z))
45.0ms	(+ (+ (* x y) (* x z)) (* y z))
207.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify3.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	4736
2	1020
1	274
0	94

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 16.0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
1.0b	(fma (+ x y) z (* y x))
18.8b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
18.8b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

rewrite8.0ms

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

series791.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (+ x y) z (* y x))
33.0ms	(fma (+ x y) z (* y x))
389.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
334.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

simplify1.8s

Counts

94 → 94

Iterations

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

prune615.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 16.0b

regimes512.0ms

Accuracy

86.5% (0.4b remaining)

Error of 16.0b against oracle of 15.6b and baseline of 18.7b

bsearch2.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	7768×	body	80	nan
1.1s	8000×	body	80	valid