Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

382×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	4

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `flip--`

Counts

1 → 4

Calls

1 calls:

5.0ms

(- (* x x) (* (* y 4.0) z))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(- (* x x) (* (* y 4.0) z))

simplify51.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	76	48
1	291	47
2	1149	47
3	5002	47

prune14.0ms

Filtered

7 candidates to 4 candidates (57.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	2	8

Merged error: 0.0b

Counts

8 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
2.2b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
28.4b	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l`
9×	`*-commutative`
4×	`flip3-+` `swap-sqr` `associate-r` `flip-+`
2×	`+-commutative` `neg-sub0` `associate-+l-` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-2neg` `div-sub` `clear-num` `div-inv`

Counts

4 → 29

Calls

4 calls:

8.0ms	(+ (* x x) (* (* y 4.0) z))
7.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
13.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
18.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x x) (* (* y 4.0) z))
34.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
110.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
101.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	220	301
1	931	271
2	5002	265

prune111.0ms

Filtered

41 candidates to 32 candidates (78.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	41	2	43

Merged error: 0.0b

Counts

43 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
0.5b	(/ 1 (/ (+ (* x x) (* (* y 4.0) z)) (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))))
2.2b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
27.9b	(/ (+ (* x x) (* (* y 4.0) z)) (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l`
9×	`associate-/r/` `*-commutative`
5×	`flip3-+` `flip-+`
4×	`swap-sqr` `associate-r` `clear-num` `associate-/l/`
3×	`frac-2neg` `associate-/r*` `div-inv`
1×	`+-commutative` `pow2` `neg-sub0` `associate-+l-` `remove-double-div` `inv-pow`

Counts

4 → 38

Calls

4 calls:

8.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
19.0ms	(/ 1 (/ (+ (* x x) (* (* y 4.0) z)) (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))))
13.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
19.0ms	(/ (+ (* x x) (* (* y 4.0) z)) (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
91.0ms	(/ 1 (/ (+ (* x x) (* (* y 4.0) z)) (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))))
109.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
59.0ms	(/ (+ (* x x) (* (* y 4.0) z)) (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)))

simplify46.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	231	361
1	1038	339
2	5001	300

prune146.0ms

Filtered

50 candidates to 42 candidates (84.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Merged error: 0.0b

Counts

52 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

1.7b	(+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
2.2b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
7.4b	(* (* x x) (* (* y 4.0) z))
43.4b	(* (/ 1 (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))) (* (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* x x) (* (* y 4.0) z))))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

52×	`frac-times`
33×	`flip3-+` `flip-+`
18×	`associate-*r/`
16×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-*l/`
10×	`sum-cubes`
9×	`frac-2neg` `clear-num` `associate-/r*`
8×	`associate-+r+`
7×	`associate-l`
6×	`+-commutative` `associate-r` `*-commutative`
4×	`sub-neg`
2×	`associate-/r/`
1×	`neg-sub0` `associate-+l-` `div-inv`

Counts

4 → 81

Calls

4 calls:

8.0ms	(+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
13.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
7.0ms	(* (* x x) (* (* y 4.0) z))
56.0ms	(* (/ 1 (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))) (* (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* x x) (* (* y 4.0) z))))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
106.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
32.0ms	(* (* x x) (* (* y 4.0) z))
175.0ms	(* (/ 1 (+ (pow (* x x) 3) (pow (* (* y 4.0) z) 3))) (* (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* x x) (* (* y 4.0) z))))))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	774	3589
1	5001	3272

prune397.0ms

Filtered

93 candidates to 66 candidates (71.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes138.0ms

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	10	4
1	10	4

end0.0ms

sample514.0ms

Algorithm

intervals

Results

274.0ms

12274×

body

valid