Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	272×	body	80	valid
6.0ms	241×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `flip3-+` `*-commutative` `flip-+`

Counts

2 → 4

Calls

2 calls:

3.0ms	(+ x (* y (sqrt z)))
2.0ms	(* y (sqrt z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* y (sqrt z)))
46.0ms	(* y (sqrt z))

simplify221.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	135	70
1	410	57
2	1390	52
3	4783	48
4	5003	48

prune24.0ms

Filtered

10 candidates to 8 candidates (80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	2	11

Merged error: 0.1b

Counts

11 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (sqrt z))
2.3b	(+ (* (- (* y y)) z) (* x x))
8.4b	(* (- (* y y)) z)
28.0b	(/ (+ (* (- (* y y)) z) (* x x)) (- x (* y (sqrt z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-l`
4×	`*-commutative`
2×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv`

Counts

4 → 18

Calls

4 calls:

2.0ms	(* y (sqrt z))
6.0ms	(+ (* (- (* y y)) z) (* x x))
4.0ms	(* (- (* y y)) z)
9.0ms	(/ (+ (* (- (* y y)) z) (* x x)) (- x (* y (sqrt z))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* y (sqrt z))
33.0ms	(+ (* (- (* y y)) z) (* x x))
19.0ms	(* (- (* y y)) z)
93.0ms	(/ (+ (* (- (* y y)) z) (* x x)) (- x (* y (sqrt z))))

simplify37.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	248	194
1	940	174
2	5002	155

prune79.0ms

Filtered

30 candidates to 24 candidates (80.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	4	32

Merged error: 0.1b

Counts

32 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- y) (* z y))
0.2b	(* y (sqrt z))
2.3b	(+ (* (- y) (* z y)) (* x x))
28.0b	(/ (+ (* (- y) (* z y)) (* x x)) (- x (* y (sqrt z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`flip3-+` `associate-r` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `flip3--` `frac-2neg` `associate-l` `clear-num` `flip--` `div-inv`

Counts

4 → 16

Calls

4 calls:

3.0ms	(* (- y) (* z y))
2.0ms	(* y (sqrt z))
6.0ms	(+ (* (- y) (* z y)) (* x x))
8.0ms	(/ (+ (* (- y) (* z y)) (* x x)) (- x (* y (sqrt z))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (- y) (* z y))
46.0ms	(* y (sqrt z))
31.0ms	(+ (* (- y) (* z y)) (* x x))
93.0ms	(/ (+ (* (- y) (* z y)) (* x x)) (- x (* y (sqrt z))))

simplify37.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	250	192
1	878	172
2	5001	152

prune78.0ms

Filtered

28 candidates to 23 candidates (82.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	28	4	32

Merged error: 0.1b

Counts

32 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- y) (* z y))
0.2b	(* y (sqrt z))
2.3b	(+ (* (- y) (* z y)) (* x x))
28.0b	(* (+ (* (- y) (* z y)) (* x x)) (/ 1 (- x (* y (sqrt z)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times`
5×	`flip3-+` `associate-r` `flip-+`
4×	`clear-num` `*-commutative`
3×	`frac-2neg` `associate-*r/`
2×	`associate-*l/` `associate-/r/` `un-div-inv`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `flip3--` `associate-l` `flip--` `div-inv`

Counts

4 → 26

Calls

4 calls:

3.0ms	(* (- y) (* z y))
2.0ms	(* y (sqrt z))
6.0ms	(+ (* (- y) (* z y)) (* x x))
9.0ms	(* (+ (* (- y) (* z y)) (* x x)) (/ 1 (- x (* y (sqrt z)))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (- y) (* z y))
42.0ms	(* y (sqrt z))
31.0ms	(+ (* (- y) (* z y)) (* x x))
95.0ms	(* (+ (* (- y) (* z y)) (* x x)) (/ 1 (- x (* y (sqrt z)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	281	330
1	1153	303
2	5001	276

prune100.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	38	4	42

Merged error: 0.1b

Counts

42 → 4

regimes160.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample999.0ms

Algorithm

intervals

Results

430.0ms	8522×	body	80	valid
221.0ms	8541×	body	80	nan