Details

analyze502.0ms

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
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

6.0ms	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- x 1.0) z)
8.0ms	(+ (* x y) (* (- x 1.0) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5711	345

prune52.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- x 1.0) (* z (+ x 1.0))) (+ x 1.0)))
0.1b	(* (- x 1.0) (* z (+ x 1.0)))
7.3b	(/ (* (- x 1.0) (* z (+ x 1.0))) (+ x 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

7.0ms	(+ (* x y) (/ (* (- x 1.0) (* z (+ x 1.0))) (+ x 1.0)))
10.0ms	(* (- x 1.0) (* z (+ x 1.0)))
12.0ms	(/ (* (- x 1.0) (* z (+ x 1.0))) (+ x 1.0))

series18.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (* x y) (/ (* (- x 1.0) (* z (+ x 1.0))) (+ x 1.0)))
6.0ms	(* (- x 1.0) (* z (+ x 1.0)))
4.0ms	(/ (* (- x 1.0) (* z (+ x 1.0))) (+ x 1.0))

simplify24.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5285	989

prune100.0ms

Filtered

58 candidates to 87 candidates (-50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(+ (* x y) (* (- x 1.0) z))
0.2b	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr` `add-log-exp`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

3.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
4.0ms	(+ (* x y) (* (- x 1.0) z))
4.0ms	(+ (* x y) (* (- x 1.0) z))
10.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
7.0ms	(+ (* x y) (* (- x 1.0) z))
9.0ms	(+ (* x y) (* (- x 1.0) z))
8.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4966	1486
1	4966	1486

prune115.0ms

Filtered

59 candidates to 106 candidates (-79.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (- x 1.0) (* z z))
3.1b	(* x (* x (* y y)))
9.4b	(* x (* y y))
27.0b	(/ (- (* x (* x (* y y))) (* (- x 1.0) (* (- x 1.0) (* z z)))) (+ (* x y) (* z (- 1.0 x))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (- x 1.0) (* z z))
6.0ms	(* x (* x (* y y)))
6.0ms	(* x (* y y))
37.0ms	(/ (- (* x (* x (* y y))) (* (- x 1.0) (* (- x 1.0) (* z z)))) (+ (* x y) (* z (- 1.0 x))))

simplify42.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5332	1813

prune113.0ms

Filtered

66 candidates to 107 candidates (-62.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	0	1
Picked	1	0	1
Done	2	1	3
Total	109	3	112

Merged error: 0b

Counts

112 → 3

regimes177.0ms

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

analyze288.0ms

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
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample404.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
18.0ms	659×	body	80	invalid

Details

analyze502.0ms

sample16.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify49.0ms

prune52.0ms

localize9.0ms

rewrite32.0ms

series18.0ms

simplify24.0ms

prune100.0ms

localize9.0ms

rewrite23.0ms

series42.0ms

simplify55.0ms

prune115.0ms

localize16.0ms

rewrite35.0ms

series58.0ms

simplify42.0ms

prune113.0ms

regimes177.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze288.0ms

sample404.0ms

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