Details

sample34.0ms

Algorithm

intervals

Results

21.0ms

436×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	7
1	59	6
2	111	6
3	204	6
4	369	6
5	839	6
6	2168	6
7	5001	6

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 30.4b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (- (* y y) (* z z)))
5.0b	(- (* y y) (* z z))
28.2b	(/ (/ (fma x x (- (* y y) (* z z))) 2.0) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-commutative`
4×	`prod-diff` `difference-of-squares`
3×	`associate-/l/`
2×	`frac-2neg` `fma-neg` `clear-num` `div-inv`
1×	`sub-neg` `flip3--` `flip--` `fma-udef` `associate-/l*`

Counts

3 → 22

Calls

3 calls:

1.0ms	(fma x x (- (* y y) (* z z)))
5.0ms	(- (* y y) (* z z))
3.0ms	(/ (/ (fma x x (- (* y y) (* z z))) 2.0) y)

series190.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(fma x x (- (* y y) (* z z)))
34.0ms	(- (* y y) (* z z))
100.0ms	(/ (/ (fma x x (- (* y y) (* z z))) 2.0) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	141	136
1	475	126
2	1509	123
3	5002	110

prune61.0ms

Filtered

31 candidates to 13 candidates (41.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	4	32

Merged error: 11.3b

Counts

32 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.0b	(+ y (/ (pow x 2) y))
7.4b	(/ (pow x 2) y)
9.7b	(/ (pow z 2) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-sub`
8×	`associate-/l*`
6×	`flip3-+` `flip-+`
4×	`frac-2neg` `clear-num` `unpow2` `sqr-pow`
2×	`+-commutative` `associate--l+` `div-inv`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 29

Calls

4 calls:

7.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
3.0ms	(+ y (/ (pow x 2) y))
3.0ms	(/ (pow x 2) y)
3.0ms	(/ (pow z 2) y)

series123.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
30.0ms	(+ y (/ (pow x 2) y))
25.0ms	(/ (pow x 2) y)
21.0ms	(/ (pow z 2) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	248	387
1	935	361
2	5002	335

prune119.0ms

Filtered

41 candidates to 26 candidates (63.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	41	4	45

Merged error: 1.6b

Counts

45 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
0.0b	(+ y (/ (pow x 2) y))
0.2b	(/ z (/ y z))
7.4b	(/ (pow x 2) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`frac-sub`
5×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`
3×	`associate-/r*` `associate-/r/`
2×	`+-commutative` `associate--l+` `associate-/l*`
1×	`sub-neg` `flip3--` `flip--` `unpow2` `sqr-pow`

Counts

4 → 29

Calls

4 calls:

6.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
3.0ms	(+ y (/ (pow x 2) y))
3.0ms	(/ z (/ y z))
3.0ms	(/ (pow x 2) y)

series355.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
30.0ms	(+ y (/ (pow x 2) y))
20.0ms	(/ z (/ y z))
25.0ms	(/ (pow x 2) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	246	346
1	1049	319
2	5001	297

prune119.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ x (/ y x))) (/ z (/ y z)))
0.0b	(+ y (/ x (/ y x)))
0.2b	(/ z (/ y z))
0.2b	(/ x (/ y x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`frac-sub`
6×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
5×	`flip3-+` `flip-+`
4×	`associate-/r*`
2×	`+-commutative` `associate--l+`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 31

Calls

4 calls:

6.0ms	(- (+ y (/ x (/ y x))) (/ z (/ y z)))
3.0ms	(+ y (/ x (/ y x)))
3.0ms	(/ z (/ y z))
3.0ms	(/ x (/ y x))

series122.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (+ y (/ x (/ y x))) (/ z (/ y z)))
35.0ms	(+ y (/ x (/ y x)))
20.0ms	(/ z (/ y z))
21.0ms	(/ x (/ y x))

simplify41.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	253	349
1	1100	315
2	5002	283

prune105.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample862.0ms

Algorithm

intervals

Results

569.0ms

13768×

body

valid