Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	48	7
2	104	7
3	196	7
4	359	7
5	686	7
6	1343	7
7	5001	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 18.6b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

18.4b

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

16.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	270	311
1	1434	265
2	5001	261

prune79.0ms

Filtered

34 candidates to 28 candidates (82.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 166

Calls

2 calls:

13.0ms	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
8.0ms	(/ (+ (* x x) (* y y)) (+ x y))

series124.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
64.0ms	(/ (+ (* x x) (* y y)) (+ x y))

simplify93.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	677	2255
1	3023	2178
2	5001	2175

prune264.0ms

Filtered

172 candidates to 113 candidates (65.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	172	3	175

Merged error: 0b

Counts

175 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

3 → 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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0b

Counts

3 → 3

Details

sample22.0ms

simplify62.0ms

prune2.0ms

localize8.0ms

rewrite17.0ms

series60.0ms

simplify38.0ms

prune79.0ms

localize9.0ms

rewrite30.0ms

series124.0ms

simplify93.0ms

prune264.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune1.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes45.0ms

bsearch2.0ms

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