Details

sample46.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4574
6	1116
5	522
4	251
3	115
2	52
1	23
0	9

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize13.0ms

Local error

Found 1 expressions with local error:

22.3b

(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

16.0ms

(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.5s

Counts

34 → 34

Iterations

Iter	Nodes
done	5002
2	1638
1	235
0	75

prune245.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (+ x y) (fma y y (* x x))) (- x y))
21.5b	(/ (+ x y) (fma y y (* x x)))
21.5b	(/ (+ x y) (fma y y (* x x)))
21.5b	(/ (+ x y) (fma y y (* x x)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
59×	`add-sqr-sqrt`
52×	`add-cube-cbrt`
49×	`times-frac`
18×	`prod-diff`
16×	`associate-l`
15×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
12×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-/r*`
6×	`pow1` `associate-/l/`
5×	`associate-r`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
2×	`frac-times` `sub-neg` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 170

Calls

4 calls:

58.0ms	(* (/ (+ x y) (fma y y (* x x))) (- x y))
14.0ms	(/ (+ x y) (fma y y (* x x)))
14.0ms	(/ (+ x y) (fma y y (* x x)))
17.0ms	(/ (+ x y) (fma y y (* x x)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (+ x y) (fma y y (* x x))) (- x y))
88.0ms	(/ (+ x y) (fma y y (* x x)))
75.0ms	(/ (+ x y) (fma y y (* x x)))
65.0ms	(/ (+ x y) (fma y y (* x x)))

simplify2.5s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	3031
1	490
0	170

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

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

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.9b

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

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.9b

regimes108.0ms

Accuracy

61.7% (7.5b remaining)

Error of 8.0b against oracle of 0.5b and baseline of 20.2b

bsearch70.0ms

Steps

Iters	Range		Point
7	2.42011835416667e-163	8.820107011884713e-162	5.816163962969592e-162
8	-2.975188198181845e-134	-1.2050796968657376e-137	-2.9269037547224618e-134

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

685.0ms	8000×	pre	80	true
465.0ms	8000×	body	80	valid