Details

sample45.0ms

Algorithm

intervals

Results

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

simplify13.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	9	15
1	29	14
2	127	14
3	418	14
4	1489	14
done	5001	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* y y))
18.4b	(/ (* (- x y) (+ x y)) (fma x x (* y y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

1.0ms	(fma x x (* y y))
40.0ms	(/ (* (- x y) (+ x y)) (fma x x (* y y)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(fma x x (* y y))
104.0ms	(/ (* (- x y) (+ x y)) (fma x x (* y y)))

simplify4.9s

Counts

47 → 47

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	79	717
1	779	689
done	5001	573

prune117.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 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))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
58×	`times-frac`
39×	`add-cube-cbrt`
19×	`add-exp-log` `associate-l` `add-cbrt-cube`
16×	`associate-r`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `flip3--` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

3 → 136

Calls

3 calls:

19.0ms	(/ (+ x y) (hypot y x))
54.0ms	(* (/ (- x y) (hypot y x)) (/ (+ x y) (hypot y x)))
22.0ms	(/ (- x y) (hypot y x))

series374.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(/ (+ x y) (hypot y x))
133.0ms	(* (/ (- x y) (hypot y x)) (/ (+ x y) (hypot y x)))
104.0ms	(/ (- x y) (hypot y x))

simplify2.6s

Counts

145 → 145

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	167	2187
1	2937	2127
done	5000	1921

prune355.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

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)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 223

Calls

4 calls:

30.0ms	(/ (- x y) (hypot y x))
82.0ms	(* (/ (- x y) (hypot y x)) (/ (+ x y) (hypot y x)))
55.0ms	(* (/ (- x y) (hypot y x)) (/ (+ x y) (hypot y x)))
56.0ms	(* (/ (- x y) (hypot y x)) (/ (+ x y) (hypot y x)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (- x y) (hypot y x))
119.0ms	(* (/ (- x y) (hypot y x)) (/ (+ x y) (hypot y x)))
139.0ms	(* (/ (- x y) (hypot y x)) (/ (+ x y) (hypot y x)))
128.0ms	(* (/ (- x y) (hypot y x)) (/ (+ x y) (hypot y x)))

simplify2.5s

Counts

235 → 235

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	147	4201
1	2842	4095
done	5001	3617

prune823.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y y (* x x))
18.4b	(/ (* (- x y) (+ x y)) (fma y y (* x x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

0.0ms	(fma y y (* x x))
24.0ms	(/ (* (- x y) (+ x y)) (fma y y (* x x)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma y y (* x x))
98.0ms	(/ (* (- x y) (+ x y)) (fma y y (* x x)))

simplify4.9s

Counts

47 → 47

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	79	717
1	778	689
done	5000	573

prune108.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	50
1	14	50
done	14	50

end0.0ms

sample1.2s

Algorithm

intervals

Results

482.0ms	8000×	body	80	valid
445.0ms	8000×	pre	80	true