Details

sample75.0ms

Algorithm

intervals

Results

36.0ms	256×	body	80	valid
20.0ms	256×	pre	80	true

simplify5.9s

Counts

1 → 1

Iterations

Iter	Nodes
8	3449
7	1366
6	799
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: 21.3b

localize17.0ms

Local error

Found 1 expressions with local error:

21.3b

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

rewrite47.0ms

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` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

46.0ms

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

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify1.9s

Counts

35 → 35

Iterations

Iter	Nodes
3	5390
2	959
1	240
0	73

prune306.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (sqrt (fma y y (* x x))))
0.1b	(* (/ (+ x y) (sqrt (fma y y (* x x)))) (/ (- x y) (sqrt (fma y y (* x x)))))
20.5b	(sqrt (fma y y (* x x)))
20.5b	(sqrt (fma y y (* x x)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
96×	`times-frac`
95×	`*-un-lft-identity`
57×	`add-cube-cbrt` `sqrt-prod`
34×	`associate-r`
28×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*` `distribute-lft-out`
5×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 187

Calls

4 calls:

26.0ms	(/ (- x y) (sqrt (fma y y (* x x))))
52.0ms	(* (/ (+ x y) (sqrt (fma y y (* x x)))) (/ (- x y) (sqrt (fma y y (* x x)))))
2.0ms	(sqrt (fma y y (* x x)))
3.0ms	(sqrt (fma y y (* x x)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ (- x y) (sqrt (fma y y (* x x))))
97.0ms	(* (/ (+ x y) (sqrt (fma y y (* x x)))) (/ (- x y) (sqrt (fma y y (* x x)))))
60.0ms	(sqrt (fma y y (* x x)))
68.0ms	(sqrt (fma y y (* x x)))

simplify3.0s

Counts

199 → 199

Iterations

Iter	Nodes
3	7705
2	1958
1	555
0	190

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- x y) (hypot y x)) (/ (hypot y x) (+ x y)))
0.0b	(/ (- x y) (hypot y x))
0.0b	(/ (hypot y x) (+ x y))
1.7b	(log1p (/ (/ (- x y) (hypot y x)) (/ (hypot y x) (+ x y))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
604×	`*-un-lft-identity`
476×	`add-sqr-sqrt`
354×	`add-cube-cbrt`
64×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
43×	`associate-/r/`
42×	`div-inv`
27×	`associate-/l*`
25×	`associate-/r*`
21×	`flip3-+` `flip-+`
20×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
5×	`expm1-log1p-u`
4×	`pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `div-sub` `associate-/l/`
1×	`log1p-udef` `flip3--` `log1p-expm1` `flip--`

Counts

4 → 492

Calls

4 calls:

33.0ms	(/ (/ (- x y) (hypot y x)) (/ (hypot y x) (+ x y)))
12.0ms	(/ (- x y) (hypot y x))
9.0ms	(/ (hypot y x) (+ x y))
0.0ms	(log1p (/ (/ (- x y) (hypot y x)) (/ (hypot y x) (+ x y))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (/ (- x y) (hypot y x)) (/ (hypot y x) (+ x y)))
110.0ms	(/ (- x y) (hypot y x))
109.0ms	(/ (hypot y x) (+ x y))
230.0ms	(log1p (/ (/ (- x y) (hypot y x)) (/ (hypot y x) (+ x y))))

simplify562.0ms

Counts

504 → 504

Iterations

Iter	Nodes
1	2174
0	639

prune5.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (hypot y x))
0.0b	(exp (/ (hypot y x) (+ x y)))
0.0b	(/ (hypot y x) (+ x y))
3.0b	(log1p (/ (/ (- x y) (hypot y x)) (log (exp (/ (hypot y x) (+ x y))))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
39×	`add-sqr-sqrt` `times-frac`
31×	`add-cube-cbrt`
18×	`exp-prod`
8×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
7×	`associate-/r*` `distribute-lft-out`
5×	`expm1-log1p-u` `add-log-exp`
4×	`pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `associate-/l/`
1×	`log1p-udef` `flip3--` `div-sub` `log1p-expm1` `flip--` `rem-exp-log`

Counts

4 → 118

Calls

4 calls:

12.0ms	(/ (- x y) (hypot y x))
11.0ms	(exp (/ (hypot y x) (+ x y)))
8.0ms	(/ (hypot y x) (+ x y))
0.0ms	(log1p (/ (/ (- x y) (hypot y x)) (log (exp (/ (hypot y x) (+ x y))))))

series600.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (- x y) (hypot y x))
133.0ms	(exp (/ (hypot y x) (+ x y)))
133.0ms	(/ (hypot y x) (+ x y))
198.0ms	(log1p (/ (/ (- x y) (hypot y x)) (log (exp (/ (hypot y x) (+ x y))))))

simplify682.0ms

Counts

130 → 130

Iterations

Iter	Nodes
3	2304
2	958
1	342
0	172

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

831.0ms	8000×	body	80	valid
323.0ms	8000×	pre	80	true