Details

sample48.0ms

Algorithm

intervals

Results

19.0ms	45×	body	1280	valid
9.0ms	162×	body	80	valid
7.0ms	26×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`+-commutative`
2×	`associate-+l+` `flip3-+` `flip-+`
1×	`*-commutative`

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ x (sin y))
5.0ms	(+ (+ x (sin y)) (* z (cos y)))
2.0ms	(* z (cos y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (sin y))
39.0ms	(+ (+ x (sin y)) (* z (cos y)))
35.0ms	(* z (cos y))

simplify86.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	110	82
1	321	75
2	1040	75
3	3724	75
4	5001	75

prune43.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ x (sin y)) (+ x (sin y)))
0.2b	(pow (+ x (sin y)) 3)
4.0b	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
34.0b	(/ (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`flip3-+` `flip-+`
4×	`frac-times`
3×	`+-commutative`
2×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `unpow3` `associate-r/` `associate-l/` `sum-cubes` `associate-/l/` `sqr-pow`
1×	`pow2` `pow-to-exp` `frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 29

Calls

4 calls:

5.0ms	(* (+ x (sin y)) (+ x (sin y)))
2.0ms	(pow (+ x (sin y)) 3)
5.0ms	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
7.0ms	(/ (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x (sin y)) (+ x (sin y)))
30.0ms	(pow (+ x (sin y)) 3)
174.0ms	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
184.0ms	(/ (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	312	432
1	1169	416
2	5001	407

prune152.0ms

Filtered

41 candidates to 31 candidates (75.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ x (sin y)) (+ x (sin y)))
0.2b	(* (+ x (sin y)) (+ x (sin y)))
3.6b	(fma (* (+ x (sin y)) (+ x (sin y))) (+ x (sin y)) (pow (* z (cos y)) 3))
34.0b	(/ (fma (* (+ x (sin y)) (+ x (sin y))) (+ x (sin y)) (pow (* z (cos y)) 3)) (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`flip3-+` `flip-+`
8×	`frac-times`
4×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
2×	`pow2` `*-commutative`
1×	`frac-2neg` `clear-num` `fma-udef` `div-inv`

Counts

4 → 32

Calls

4 calls:

5.0ms	(* (+ x (sin y)) (+ x (sin y)))
4.0ms	(* (+ x (sin y)) (+ x (sin y)))
1.0ms	(fma (* (+ x (sin y)) (+ x (sin y))) (+ x (sin y)) (pow (* z (cos y)) 3))
2.0ms	(/ (fma (* (+ x (sin y)) (+ x (sin y))) (+ x (sin y)) (pow (* z (cos y)) 3)) (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x (sin y)) (+ x (sin y)))
23.0ms	(* (+ x (sin y)) (+ x (sin y)))
145.0ms	(fma (* (+ x (sin y)) (+ x (sin y))) (+ x (sin y)) (pow (* z (cos y)) 3))
168.0ms	(/ (fma (* (+ x (sin y)) (+ x (sin y))) (+ x (sin y)) (pow (* z (cos y)) 3)) (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))

simplify93.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	228	440
1	818	416
2	3796	401
3	5001	391

prune144.0ms

Filtered

44 candidates to 28 candidates (63.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ x (sin y)) 3)
1.0b	(/ 1 (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))
4.0b	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
34.0b	(* (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (/ 1 (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y))))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times`
5×	`flip3-+` `clear-num` `flip-+`
4×	`frac-2neg`
3×	`associate-*r/`
2×	`fma-def` `unpow3` `associate-*l/` `un-div-inv` `sum-cubes` `div-inv` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-r` `associate-l` `*-commutative` `inv-pow`

Counts

4 → 29

Calls

4 calls:

2.0ms	(pow (+ x (sin y)) 3)
2.0ms	(/ 1 (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))
6.0ms	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
9.0ms	(* (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (/ 1 (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y))))))

series622.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (+ x (sin y)) 3)
219.0ms	(/ 1 (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))))
179.0ms	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
191.0ms	(* (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (/ 1 (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y))))))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	234	501
1	952	487
2	5001	476

prune135.0ms

Filtered

41 candidates to 30 candidates (73.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

411.0ms	978×	body	1280	valid
313.0ms	5571×	body	80	valid
235.0ms	843×	body	640	valid
82.0ms	418×	body	320	valid
33.0ms	189×	body	160	valid
1.0ms	1×	body	2560	valid