Details

sample68.0ms

Algorithm

intervals

Results

26.0ms	271×	body	80	nan
24.0ms	256×	body	80	valid

simplify54.0ms

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: 19.4b

localize26.0ms

Local error

Found 2 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
19.4b	(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)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma (+ x y) z (* y x))
147.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify516.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	2006
3	709
2	230
1	107
0	53

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.4b

localize28.0ms

Local error

Found 2 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
19.4b	(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)

series344.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(fma (+ x y) z (* y x))
297.0ms	(pow (fma (+ x y) z (* y x)) 1/2)

simplify799.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	2005
3	1417
2	491
1	195
0	78

prune203.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 12.8b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
1.0b	(fma (+ x y) z (* y x))
19.8b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
19.8b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

rewrite14.0ms

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))
6.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
6.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

series799.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma (+ x y) z (* y x))
29.0ms	(fma (+ x y) z (* y x))
349.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
371.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

simplify1.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	2001
3	1725
2	595
1	242
0	98

prune629.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 12.8b

localize74.0ms

Local error

Found 4 expressions with local error:

19.8b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
19.8b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
19.8b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
19.8b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

rewrite27.0ms

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:

7.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
6.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
6.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
6.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

series1.4s

Counts

4 → 12

Calls

4 calls:

337.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
371.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
357.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
361.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

simplify947.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	2015
3	1448
2	525
1	220
0	86

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 12.8b

regimes230.0ms

Accuracy

9.7% (5.0b remaining)

Error of 18.0b against oracle of 13.0b and baseline of 18.6b

bsearch205.0ms

Steps

Iters	Range		Point
8	1.6237497609295323e+148	5.806806445104138e+150	6.205059017438556e+148
9	-6.749854855548698e+149	-6.160866917984992e+141	-4.514491771534835e+149

simplify6.0ms

Iterations

Iter	Nodes
done	40
1	40
0	32

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	8001×	body	80	valid
894.0ms	7788×	body	80	nan