Details

sample53.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1738
6	803
5	457
4	220
3	107
2	50
1	23
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize16.0ms

Local error

Found 1 expressions with local error:

17.8b

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

rewrite21.0ms

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:

21.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

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

simplify1.0s

Counts

35 → 35

Iterations

Iter	Nodes
done	5005
2	1202
1	236
0	76

prune201.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (fma x x (* y y)) (* (- x y) (+ y x))))
17.8b	(/ (fma x x (* y y)) (* (- x y) (+ y x)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
41×	`associate-/r/`
28×	`add-sqr-sqrt` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
20×	`frac-times`
16×	`associate-/r*` `add-cbrt-cube`
15×	`flip3-+` `flip3--` `flip-+` `flip--`
14×	`div-exp`
10×	`associate-l/` `associate-r/`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`expm1-log1p-u` `clear-num` `frac-2neg` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 123

Calls

2 calls:

52.0ms	(/ 1 (/ (fma x x (* y y)) (* (- x y) (+ y x))))
26.0ms	(/ (fma x x (* y y)) (* (- x y) (+ y x)))

series201.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(/ 1 (/ (fma x x (* y y)) (* (- x y) (+ y x))))
95.0ms	(/ (fma x x (* y y)) (* (- x y) (+ y x)))

simplify1.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5007
2	2195
1	565
0	212

prune472.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
58×	`times-frac`
39×	`add-cube-cbrt`
19×	`add-cbrt-cube` `associate-l` `add-exp-log`
16×	`associate-r`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `flip3-+` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+` `flip--`

Counts

3 → 139

Calls

3 calls:

12.0ms	(/ (- x y) (hypot x y))
23.0ms	(/ (+ y x) (hypot x y))
36.0ms	(* (/ (- x y) (hypot x y)) (/ (+ y x) (hypot x y)))

series398.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(/ (- x y) (hypot x y))
135.0ms	(/ (+ y x) (hypot x y))
142.0ms	(* (/ (- x y) (hypot x y)) (/ (+ y x) (hypot x y)))

simplify2.4s

Counts

148 → 148

Iterations

Iter	Nodes
done	5002
2	2259
1	504
0	173

prune590.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

251×	`times-frac`
194×	`*-un-lft-identity`
173×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
64×	`add-exp-log`
59×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
25×	`associate-/r*` `distribute-lft-out`
19×	`associate-l`
18×	`associate-/r/`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
11×	`associate-/l*`
10×	`unswap-sqr`
8×	`flip3-+` `flip-+`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`frac-times` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `flip--` `inv-pow`

Counts

4 → 300

Calls

4 calls:

8.0ms	(/ (hypot x y) (+ y x))
12.0ms	(/ (- x y) (hypot x y))
15.0ms	(/ 1 (/ (hypot x y) (+ y x)))
61.0ms	(* (/ (- x y) (hypot x y)) (/ 1 (/ (hypot x y) (+ y x))))

series567.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(/ (hypot x y) (+ y x))
144.0ms	(/ (- x y) (hypot x y))
139.0ms	(/ 1 (/ (hypot x y) (+ y x)))
142.0ms	(* (/ (- x y) (hypot x y)) (/ 1 (/ (hypot x y) (+ y x))))

simplify2.3s

Counts

312 → 312

Iterations

Iter	Nodes
done	5000
2	3779
1	1056
0	346

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

858.0ms	8000×	body	80	valid
683.0ms	8000×	pre	80	true