Details

analyze542.0ms

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
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	49×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

3.0ms	(+ (* x y) z)
6.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series29.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x y) z)
15.0ms	(+ (* (+ (* x y) z) y) t)
9.0ms	(* (+ (* x y) z) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5329	486

prune61.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (* y (+ (* x y) z)) 3)) t)
0.1b	(* y (+ (* x y) z))
0.2b	(pow (* y (+ (* x y) z)) 3)
33.3b	(cbrt (pow (* y (+ (* x y) z)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ (cbrt (pow (* y (+ (* x y) z)) 3)) t)
6.0ms	(* y (+ (* x y) z))
6.0ms	(pow (* y (+ (* x y) z)) 3)
3.0ms	(cbrt (pow (* y (+ (* x y) z)) 3))

series53.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (cbrt (pow (* y (+ (* x y) z)) 3)) t)
6.0ms	(* y (+ (* x y) z))
19.0ms	(pow (* y (+ (* x y) z)) 3)
10.0ms	(cbrt (pow (* y (+ (* x y) z)) 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4920	923
1	4920	923

prune105.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

2.4b	(* x (* x (* y y)))
4.9b	(* y (- (* x (* x (* y y))) (* z z)))
9.6b	(* x (* y y))
17.6b	(/ (* y (- (* x (* x (* y y))) (* z z))) (- (* x y) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
9×	`associate-l`
5×	`associate-r`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/r/` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

7.0ms	(* x (* x (* y y)))
9.0ms	(* y (- (* x (* x (* y y))) (* z z)))
5.0ms	(* x (* y y))
12.0ms	(/ (* y (- (* x (* x (* y y))) (* z z))) (- (* x y) z))

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (* x (* y y)))
20.0ms	(* y (- (* x (* x (* y y))) (* z z)))
6.0ms	(* x (* y y))
19.0ms	(/ (* y (- (* x (* x (* y y))) (* z z))) (- (* x y) z))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5001	1008

prune104.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ z (* y x))
0.0b	(+ (/ y (/ 1 (+ z (* y x)))) t)
0.1b	(/ 1 (+ z (* y x)))
0.2b	(/ y (/ 1 (+ z (* y x))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
58×	`*-un-lft-identity`
56×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log`
1×	`pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 136

Calls

4 calls:

2.0ms	(+ z (* y x))
16.0ms	(+ (/ y (/ 1 (+ z (* y x)))) t)
4.0ms	(/ 1 (+ z (* y x)))
7.0ms	(/ y (/ 1 (+ z (* y x))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ z (* y x))
14.0ms	(+ (/ y (/ 1 (+ z (* y x)))) t)
10.0ms	(/ 1 (+ z (* y x)))
8.0ms	(/ y (/ 1 (+ z (* y x))))

simplify44.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5295	1888

prune122.0ms

Filtered

98 candidates to 148 candidates (-51.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	148	5	153

Merged error: 0b

Counts

153 → 5

regimes343.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

analyze539.0ms

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
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample497.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
52.0ms	1831×	body	80	invalid

Details

analyze542.0ms

sample21.0ms

simplify3.0ms

prune6.0ms

localize6.0ms

rewrite16.0ms

series29.0ms

simplify32.0ms

prune61.0ms

localize9.0ms

rewrite22.0ms

series53.0ms

simplify58.0ms

prune105.0ms

localize12.0ms

rewrite35.0ms

series51.0ms

simplify52.0ms

prune104.0ms

localize8.0ms

rewrite34.0ms

series39.0ms

simplify44.0ms

prune122.0ms

regimes343.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze539.0ms

sample497.0ms

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