Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	52	6
2	117	6
3	240	6
4	478	6
5	947	6
6	1844	6
7	5001	6

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 22.5b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
22.6b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite18.0ms

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:

4.0ms	(+ (* x x) (* y y))
13.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) (* y y))
64.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	322	380
1	1875	324
2	5001	308

prune112.0ms

Filtered

53 candidates to 43 candidates (81.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0.4b

Counts

55 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.4b

Counts

3 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* y y))
0.0b	(/ (/ (fma x x (* y y)) (- x y)) (+ x y))
21.9b	(/ (fma x x (* y y)) (- x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 177

Calls

3 calls:

1.0ms	(fma x x (* y y))
12.0ms	(/ (/ (fma x x (* y y)) (- x y)) (+ x y))
6.0ms	(/ (fma x x (* y y)) (- x y))

series170.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(fma x x (* y y))
68.0ms	(/ (/ (fma x x (* y y)) (- x y)) (+ x y))
69.0ms	(/ (fma x x (* y y)) (- x y))

simplify76.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	521	1986
1	2125	1804
2	5001	1803

prune310.0ms

Filtered

186 candidates to 128 candidates (68.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	186	3	189

Merged error: 0b

Counts

189 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

12.0ms	(/ (* (hypot x y) (/ (hypot x y) (- x y))) (+ x y))
12.0ms	(* (hypot x y) (/ (hypot x y) (- x y)))
6.0ms	(/ (hypot x y) (- x y))

series265.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (* (hypot x y) (/ (hypot x y) (- x y))) (+ x y))
89.0ms	(* (hypot x y) (/ (hypot x y) (- x y)))
89.0ms	(/ (hypot x y) (- x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	359	859
1	1714	744
2	5002	738

prune191.0ms

Filtered

120 candidates to 87 candidates (72.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample492.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	80	valid
113.0ms	8000×	pre	80	true