Details

analyze556.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample21.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	46×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

prune4.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

4.0ms

(- (* x y) (* z t))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(- (* x y) (* z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5477	145

prune19.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

5.0b	(* z (* z (* t t)))
8.1b	(* x (* y y))
10.2b	(* z (* t t))
26.5b	(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (+ (* x y) (* z t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`times-frac` `associate-l`
4×	`add-log-exp`
3×	`associate-r` `associate-/r` `-commutative` `associate-/l*`
2×	`associate-/r/` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 91

Calls

4 calls:

7.0ms	(* z (* z (* t t)))
5.0ms	(* x (* y y))
5.0ms	(* z (* t t))
12.0ms	(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (+ (* x y) (* z t)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (* z (* t t)))
6.0ms	(* x (* y y))
7.0ms	(* z (* t t))
29.0ms	(/ (- (* x (* x (* y y))) (* z (* z (* t t)))) (+ (* x y) (* z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4989	1250
1	4989	1250

prune84.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

8.1b	(* x (* y y))
10.2b	(* z (* t t))
14.3b	(* (/ z (+ (* x y) (* z t))) (* z (* t t)))
14.4b	(* (/ x (+ (* x y) (* z t))) (* x (* y y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log` `add-cbrt-cube`
36×	`associate-l`
32×	`pow1`
30×	`prod-exp` `cbrt-unprod`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `pow-prod-down`
6×	`cbrt-undiv` `div-exp`
4×	`associate-r` `associate-/r/` `*-commutative` `add-log-exp`
2×	`flip3-+` `associate-*l/` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

5.0ms	(* x (* y y))
7.0ms	(* z (* t t))
11.0ms	(* (/ z (+ (* x y) (* z t))) (* z (* t t)))
12.0ms	(* (/ x (+ (* x y) (* z t))) (* x (* y y)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (* y y))
6.0ms	(* z (* t t))
29.0ms	(* (/ z (+ (* x y) (* z t))) (* z (* t t)))
17.0ms	(* (/ x (+ (* x y) (* z t))) (* x (* y y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5004	1536

prune97.0ms

Filtered

78 candidates to 130 candidates (-66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Merged error: 0.0b

Counts

133 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (* x y) (* z t))
7.3b	(/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3)))
26.0b	(* (/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3))) (- (* x y) (* z t)))
26.6b	(* (* (/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3))) (- (* x y) (* z t))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

6.0ms	(* (* x y) (* z t))
12.0ms	(/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3)))
17.0ms	(* (/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3))) (- (* x y) (* z t)))
32.0ms	(* (* (/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3))) (- (* x y) (* z t))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

series138.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* x y) (* z t))
27.0ms	(/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3)))
29.0ms	(* (/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3))) (- (* x y) (* z t)))
72.0ms	(* (* (/ (+ (* x y) (* z t)) (+ (pow (* x y) 3) (pow (* z t) 3))) (- (* x y) (* z t))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4997	5044
1	4997	5044

prune234.0ms

Filtered

110 candidates to 158 candidates (-43.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	158	3	161

Merged error: 0.0b

Counts

161 → 3

regimes359.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample467.0ms

Algorithm

intervals

Results

206.0ms	8000×	body	80	valid
33.0ms	1377×	body	80	invalid

Details

analyze556.0ms

sample21.0ms

simplify7.0ms

prune4.0ms

localize5.0ms

rewrite4.0ms

series10.0ms

simplify47.0ms

prune19.0ms

localize16.0ms

rewrite31.0ms

series48.0ms

simplify42.0ms

prune84.0ms

localize15.0ms

rewrite40.0ms

series60.0ms

simplify65.0ms

prune97.0ms

localize21.0ms

rewrite73.0ms

series138.0ms

simplify79.0ms

prune234.0ms

regimes359.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample467.0ms

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