Details

sample47.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	9	15
1	23	14
2	52	14
3	113	14
4	229	14
5	461	14
6	822	14
7	1308	14
8	3296	14
done	5000	14

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
21.8b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

9.0ms	(+ (* x x) (* y y))
58.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x x) (* y y))
114.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.2s

Counts

53 → 53

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	95	874
1	317	764
2	1517	635
done	5000	627

prune193.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

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:

20.0ms	(/ (+ x y) (hypot x y))
70.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
31.0ms	(/ (- x y) (hypot x y))

series376.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(/ (+ x y) (hypot x y))
131.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
128.0ms	(/ (- x y) (hypot x y))

simplify1.4s

Counts

145 → 145

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	167	2187
1	472	2127
2	1644	1919
done	5000	1918

prune378.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (/ (- x y) (/ (fma x x (pow y 2)) (+ x y)))))
0.0b	(/ (- x y) (/ (fma x x (pow y 2)) (+ x y)))
0.4b	(expm1 (/ (- x y) (/ (fma x x (pow y 2)) (+ x y))))
21.2b	(/ (fma x x (pow y 2)) (+ x y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
162×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
7×	`flip3-+` `flip-+`
5×	`log1p-expm1-u`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`log1p-udef` `expm1-log1p` `flip3--` `div-sub` `log1p-expm1` `flip--` `expm1-udef`

Counts

4 → 190

Calls

4 calls:

1.0ms	(log1p (expm1 (/ (- x y) (/ (fma x x (pow y 2)) (+ x y)))))
66.0ms	(/ (- x y) (/ (fma x x (pow y 2)) (+ x y)))
1.0ms	(expm1 (/ (- x y) (/ (fma x x (pow y 2)) (+ x y))))
22.0ms	(/ (fma x x (pow y 2)) (+ x y))

series523.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(log1p (expm1 (/ (- x y) (/ (fma x x (pow y 2)) (+ x y)))))
119.0ms	(/ (- x y) (/ (fma x x (pow y 2)) (+ x y)))
161.0ms	(expm1 (/ (- x y) (/ (fma x x (pow y 2)) (+ x y))))
92.0ms	(/ (fma x x (pow y 2)) (+ x y))

simplify1.3s

Counts

202 → 202

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	255	4714
1	659	4490
2	2248	4076
done	5002	4057

prune883.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	10	15
done	10	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

557.0ms	8000×	body	80	valid
288.0ms	8000×	pre	80	true