Details

analyze310.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune3.0ms

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 y) (* z (- 1.0 y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`sub-neg` `associate-+r+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+ (* x y) (* z (- 1.0 y)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(+ (* x y) (* z (- 1.0 y)))

simplify22.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5090	197

prune21.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

3.6b	(* x (* x (* y y)))
4.8b	(* z (* (- 1.0 y) (- (* z (- 1.0 y)) (* x y))))
8.0b	(* x (* y y))
41.0b	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* x (* x (* y y))) (* z (* (- 1.0 y) (- (* z (- 1.0 y)) (* x y))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
23×	`pow1`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
12×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-*r/`
9×	`associate-l`
8×	`associate--l+`
6×	`flip3--` `flip--`
5×	`associate-/l*`
4×	`frac-times` `sum-cubes` `distribute-lft-out` `add-log-exp`
3×	`associate-r` `associate-/r` `-commutative`
2×	`flip3-+` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

7.0ms	(* x (* x (* y y)))
13.0ms	(* z (* (- 1.0 y) (- (* z (- 1.0 y)) (* x y))))
5.0ms	(* x (* y y))
15.0ms	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* x (* x (* y y))) (* z (* (- 1.0 y) (- (* z (- 1.0 y)) (* x y))))))

series123.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (* x (* y y)))
14.0ms	(* z (* (- 1.0 y) (- (* z (- 1.0 y)) (* x y))))
6.0ms	(* x (* y y))
95.0ms	(/ (+ (pow (* x y) 3) (pow (* z (- 1.0 y)) 3)) (+ (* x (* x (* y y))) (* z (* (- 1.0 y) (- (* z (- 1.0 y)) (* x y))))))

simplify54.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5599	3155

prune196.0ms

Filtered

77 candidates to 129 candidates (-67.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

5.0ms	(+ z (* y (- x z)))
6.0ms	(* y (- x z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ z (* y (- x z)))
7.0ms	(* y (- x z))

simplify44.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5674	327

prune41.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	43	3	46

Merged error: 0.0b

Counts

46 → 3

regimes176.0ms

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	9
1	11	9

end0.0ms

analyze296.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

sample408.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
18.0ms	676×	body	80	invalid

Details

analyze310.0ms

sample19.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite4.0ms

series8.0ms

simplify22.0ms

prune21.0ms

localize22.0ms

rewrite44.0ms

series123.0ms

simplify54.0ms

prune196.0ms

localize6.0ms

rewrite12.0ms

series14.0ms

simplify44.0ms

prune41.0ms

regimes176.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze296.0ms

sample408.0ms

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