Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
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: 22.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* y y))
22.3b	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite40.0ms

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/` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 41

Calls

2 calls:

0.0ms	(fma x x (* y y))
37.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma x x (* y y))
109.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
2	1107
1	248
0	82

prune274.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize1.0ms

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

prune33.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (- x y) (fma y y (* x x))) (+ y x))
21.4b	(/ (- x y) (fma y y (* x x)))
21.4b	(/ (- x y) (fma y y (* x x)))
21.4b	(/ (- x y) (fma y y (* x x)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
61×	`times-frac`
44×	`add-cube-cbrt`
19×	`associate-l`
15×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
6×	`pow1` `associate-/l/`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-r` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
2×	`frac-times` `flip3-+` `prod-exp` `associate-*r/` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out`

Counts

4 → 167

Calls

4 calls:

43.0ms	(* (/ (- x y) (fma y y (* x x))) (+ y x))
13.0ms	(/ (- x y) (fma y y (* x x)))
27.0ms	(/ (- x y) (fma y y (* x x)))
29.0ms	(/ (- x y) (fma y y (* x x)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (/ (- x y) (fma y y (* x x))) (+ y x))
72.0ms	(/ (- x y) (fma y y (* x x)))
89.0ms	(/ (- x y) (fma y y (* x x)))
77.0ms	(/ (- x y) (fma y y (* x x)))

simplify2.0s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
2	2033
1	463
0	136

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize162.0ms

Local error

Found 4 expressions with local error:

21.4b	(/ (- x y) (fma y y (* x x)))
22.0b	(cbrt (fma y y (* x x)))
22.0b	(cbrt (fma y y (* x x)))
22.0b	(cbrt (fma y y (* x x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`times-frac`
9×	`cbrt-prod`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*` `pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 79

Calls

4 calls:

20.0ms	(/ (- x y) (fma y y (* x x)))
1.0ms	(cbrt (fma y y (* x x)))
1.0ms	(cbrt (fma y y (* x x)))
2.0ms	(cbrt (fma y y (* x x)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (- x y) (fma y y (* x x)))
181.0ms	(cbrt (fma y y (* x x)))
187.0ms	(cbrt (fma y y (* x x)))
153.0ms	(cbrt (fma y y (* x x)))

simplify1.8s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
3	1657
2	509
1	219
0	104

prune705.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

regimes179.0ms

Accuracy

76.4% (5.1b remaining)

Error of 5.6b against oracle of 0.5b and baseline of 22.0b

bsearch145.0ms

Steps

Iters	Range	Point
8	1.054098417937684e-163	2.235821800100019e-159	3.9742579544501275e-160
10	-3.849078315748194e-151	-3.393129705632957e-163	-2.5519161962448872e-157
10	-2.706067999623793e-43	-1.427556205083161e-53	-2.6761666059316904e-43

Iters

Range

Point

1.054098417937684e-163

2.235821800100019e-159

3.9742579544501275e-160

-3.849078315748194e-151

-3.393129705632957e-163

-2.5519161962448872e-157

-2.706067999623793e-43

-1.427556205083161e-53

-2.6761666059316904e-43

simplify7.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample1.3s

Algorithm

intervals

Results

940.0ms	8000×	body	80	valid
208.0ms	8000×	pre	80	true