Details

sample92.0ms

Algorithm

intervals

Results

39.0ms	272×	body	80	nan
30.0ms	256×	body	80	valid

simplify51.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize36.0ms

Local error

Found 2 expressions with local error:

0.5b	(fma (+ x y) z (* y x))
14.8b	(sqrt (fma (+ x y) z (* y x)))

rewrite3.0ms

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))
2.0ms	(sqrt (fma (+ x y) z (* y x)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma (+ x y) z (* y x))
155.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify1.8s

Counts

33 → 33

Iterations

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

prune171.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 14.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.5b	(fma (+ x y) z (* y x))
14.8b	(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)

series314.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma (+ x y) z (* y x))
289.0ms	(pow (fma (+ x y) z (* y x)) 1/2)

simplify2.7s

Counts

38 → 38

Iterations

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

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 12.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma (+ x y) z (* y x))
0.5b	(fma (+ x y) z (* y x))
15.0b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
15.0b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

rewrite7.0ms

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))

series642.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (+ x y) z (* y x))
40.0ms	(fma (+ x y) z (* y x))
306.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
262.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

simplify1.5s

Counts

94 → 94

Iterations

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

prune629.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 12.0b

localize57.0ms

Local error

Found 4 expressions with local error:

15.0b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
15.3b	(cbrt (fma (+ x y) z (* y x)))
15.3b	(cbrt (fma (+ x y) z (* y x)))
15.3b	(cbrt (fma (+ x y) z (* y x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`pow-unpow`
9×	`cbrt-prod` `times-frac`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

3.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))

series1.4s

Counts

4 → 12

Calls

4 calls:

347.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
367.0ms	(cbrt (fma (+ x y) z (* y x)))
332.0ms	(cbrt (fma (+ x y) z (* y x)))
328.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5004
3	1717
2	602
1	265
0	106

prune1.0s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 12.0b

regimes295.0ms

Accuracy

21.2% (2.6b remaining)

Error of 17.8b against oracle of 15.2b and baseline of 18.5b

bsearch75.0ms

Steps

Iters	Range		Point
8	4.258392431066493e+185	9.34081080873892e+189	3.324954788338667e+189

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	8097×	body	80	nan
1.1s	8000×	body	80	valid