Details

sample46.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2065
8	2065
7	1738
6	803
5	457
4	220
3	107
2	50
1	23
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* y y))
22.0b	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `flip3-+` `times-frac` `flip3--` `flip-+` `flip--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma x x (* y y))
18.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma x x (* y y))
118.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.2s

Counts

49 → 49

Iterations

Iter	Nodes
done	2001
3	2001
2	1109
1	250
0	84

prune394.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (* (- x y) (+ y x)) (fma x x (* y y))))
22.0b	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
22.0b	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
22.0b	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-/l/`
19×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
9×	`associate-/r*` `flip3-+` `flip3--` `flip-+` `flip--`
7×	`cbrt-prod`
6×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`cbrt-div` `pow1/3`

Counts

4 → 115

Calls

4 calls:

13.0ms	(cbrt (/ (* (- x y) (+ y x)) (fma x x (* y y))))
24.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
25.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
21.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (/ (* (- x y) (+ y x)) (fma x x (* y y))))
98.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
100.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))
81.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	2081
3	2081
2	1263
1	267
0	100

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes130.0ms

Accuracy

75.9% (4.8b remaining)

Error of 5.2b against oracle of 0.4b and baseline of 20.2b

bsearch167.0ms

Steps

Iters	Range	Point
5	9.119547515606136e-169	3.1589337783356784e-168	3.1003292371794966e-168
9	-1.2588029326216475e-153	-1.0867132507229917e-159	-6.3662280950353905e-155
8	-4.0930131698962745e+155	-4.782944500713902e+152	-1.3483719131786158e+154

Iters

Range

Point

9.119547515606136e-169

3.1589337783356784e-168

3.1003292371794966e-168

-1.2588029326216475e-153

-1.0867132507229917e-159

-6.3662280950353905e-155

-4.0930131698962745e+155

-4.782944500713902e+152

-1.3483719131786158e+154

simplify9.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

953.0ms	8000×	body	80	valid
369.0ms	8000×	pre	80	true