Details

sample67.0ms

Algorithm

intervals

Results

37.0ms	256×	body	80	valid
14.0ms	256×	pre	80	true

simplify6.2s

Counts

1 → 1

Iterations

Iter	Nodes
8	3449
7	1366
6	799
5	457
4	220
3	107
2	50
1	23
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y y (* x x))
21.0b	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

rewrite23.0ms

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 y y (* x x))
22.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma y y (* x x))
103.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

simplify2.0s

Counts

49 → 49

Iterations

Iter	Nodes
3	5212
2	1001
1	254
0	81

prune453.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (sqrt (fma y y (* x x))))
0.0b	(* (/ (+ x y) (sqrt (fma y y (* x x)))) (/ (- x y) (sqrt (fma y y (* x x)))))
20.3b	(sqrt (fma y y (* x x)))
20.3b	(sqrt (fma y y (* x x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
90×	`times-frac`
55×	`add-cube-cbrt`
54×	`sqrt-prod`
34×	`associate-r`
28×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+`

Counts

4 → 179

Calls

4 calls:

16.0ms	(/ (+ x y) (sqrt (fma y y (* x x))))
39.0ms	(* (/ (+ x y) (sqrt (fma y y (* x x)))) (/ (- x y) (sqrt (fma y y (* x x)))))
1.0ms	(sqrt (fma y y (* x x)))
1.0ms	(sqrt (fma y y (* x x)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ (+ x y) (sqrt (fma y y (* x x))))
90.0ms	(* (/ (+ x y) (sqrt (fma y y (* x x)))) (/ (- x y) (sqrt (fma y y (* x x)))))
66.0ms	(sqrt (fma y y (* x x)))
76.0ms	(sqrt (fma y y (* x x)))

simplify4.4s

Counts

191 → 191

Iterations

Iter	Nodes
3	7539
2	1835
1	533
0	183

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (hypot y x))
0.0b	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
0.0b	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
0.0b	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
105×	`times-frac`
64×	`add-cube-cbrt`
57×	`associate-r`
48×	`associate-l`
42×	`add-cbrt-cube` `add-exp-log`
13×	`cbrt-undiv` `div-exp` `distribute-lft-out`
12×	`prod-exp` `cbrt-unprod` `unswap-sqr`
10×	`pow1`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`frac-times` `associate-/r` `pow-prod-down` `associate-l/` `associate-r/` `-commutative`
2×	`associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+`

Counts

4 → 222

Calls

4 calls:

20.0ms	(/ (+ x y) (hypot y x))
33.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
35.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
43.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (+ x y) (hypot y x))
109.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
117.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
126.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))

simplify4.7s

Counts

234 → 234

Iterations

Iter	Nodes
3	6095
2	1460
1	425
0	142

prune2.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (hypot y x))
0.0b	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
0.0b	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
0.2b	(* (* (/ (+ x y) (hypot y x)) (- x y)) (/ 1 (hypot y x)))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
86×	`*-un-lft-identity`
83×	`times-frac`
69×	`add-exp-log`
54×	`add-cube-cbrt`
51×	`add-cbrt-cube` `associate-r`
33×	`associate-l`
28×	`prod-exp`
19×	`div-exp`
18×	`cbrt-unprod`
14×	`cbrt-undiv`
13×	`pow1`
11×	`frac-times`
10×	`distribute-lft-out`
9×	`associate-*l/`
8×	`unswap-sqr`
7×	`associate-*r/`
6×	`div-inv` `distribute-lft-out--` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l*` `add-log-exp`
3×	`rec-exp` `associate-/r` `1-exp` `-commutative`
2×	`associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `un-div-inv` `flip-+`

Counts

4 → 217

Calls

4 calls:

16.0ms	(/ (+ x y) (hypot y x))
30.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
37.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
94.0ms	(* (* (/ (+ x y) (hypot y x)) (- x y)) (/ 1 (hypot y x)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(/ (+ x y) (hypot y x))
140.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
143.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))
160.0ms	(* (* (/ (+ x y) (hypot y x)) (- x y)) (/ 1 (hypot y x)))

simplify902.0ms

Counts

229 → 229

Iterations

Iter	Nodes
2	2541
1	761
0	241

prune2.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	31
1	31
0	23

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
339.0ms	8000×	pre	80	true