Details

analyze426.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify452.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

7.0ms

(* (+ x y) z)

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(* (+ x y) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4948	151
1	4948	151

prune38.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Merged error: 0.0b

Counts

25 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) z)
0.2b	(pow (* (+ x y) z) 3)
35.5b	(cbrt (pow (* (+ x y) z) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*l/`
4×	`cube-div` `associate-l`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+` `add-log-exp`
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×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

5.0ms	(* (+ x y) z)
5.0ms	(pow (* (+ x y) z) 3)
2.0ms	(cbrt (pow (* (+ x y) z) 3))

series26.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (+ x y) z)
15.0ms	(pow (* (+ x y) z) 3)
6.0ms	(cbrt (pow (* (+ x y) z) 3))

simplify39.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5509	575

prune75.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	73	2	75

Merged error: 0.0b

Counts

75 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* x x) (* y (- y x)))
3.1b	(+ (pow x 3) (pow y 3))
7.1b	(* z (+ (pow x 3) (pow y 3)))
37.2b	(/ (* z (+ (pow x 3) (pow y 3))) (+ (* x x) (* y (- y x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

4.0ms	(+ (* x x) (* y (- y x)))
9.0ms	(+ (pow x 3) (pow y 3))
13.0ms	(* z (+ (pow x 3) (pow y 3)))
15.0ms	(/ (* z (+ (pow x 3) (pow y 3))) (+ (* x x) (* y (- y x))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* x x) (* y (- y x)))
8.0ms	(+ (pow x 3) (pow y 3))
20.0ms	(* z (+ (pow x 3) (pow y 3)))
41.0ms	(/ (* z (+ (pow x 3) (pow y 3))) (+ (* x x) (* y (- y x))))

simplify39.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4976	1202
1	4976	1202

prune132.0ms

Filtered

63 candidates to 95 candidates (-50.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

27.8b	(cbrt (+ (* x x) (* y (- y x))))
27.8b	(cbrt (+ (* x x) (* y (- y x))))
27.8b	(cbrt (+ (* x x) (* y (- y x))))
35.4b	(* (/ z (* (cbrt (+ (* x x) (* y (- y x)))) (cbrt (+ (* x x) (* y (- y x)))))) (/ (+ (pow x 3) (pow y 3)) (cbrt (+ (* x x) (* y (- y x))))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
64×	`times-frac`
60×	`associate-r`
50×	`add-sqr-sqrt`
38×	`cbrt-prod`
34×	`add-cube-cbrt`
30×	`distribute-lft-out`
25×	`add-exp-log`
24×	`unpow-prod-down` `cube-prod`
20×	`cbrt-div`
18×	`add-cbrt-cube`
15×	`associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `sum-cubes` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 144

Calls

4 calls:

3.0ms	(cbrt (+ (* x x) (* y (- y x))))
3.0ms	(cbrt (+ (* x x) (* y (- y x))))
3.0ms	(cbrt (+ (* x x) (* y (- y x))))
44.0ms	(* (/ z (* (cbrt (+ (* x x) (* y (- y x)))) (cbrt (+ (* x x) (* y (- y x)))))) (/ (+ (pow x 3) (pow y 3)) (cbrt (+ (* x x) (* y (- y x))))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ (* x x) (* y (- y x))))
35.0ms	(cbrt (+ (* x x) (* y (- y x))))
33.0ms	(cbrt (+ (* x x) (* y (- y x))))
39.0ms	(* (/ z (* (cbrt (+ (* x x) (* y (- y x)))) (cbrt (+ (* x x) (* y (- y x)))))) (/ (+ (pow x 3) (pow y 3)) (cbrt (+ (* x x) (* y (- y x))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4962	4668
1	4962	4668

prune203.0ms

Filtered

100 candidates to 156 candidates (-56.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	156	4	160

Merged error: 0.0b

Counts

160 → 4

regimes249.0ms

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	7	5
1	7	5

end0.0ms

analyze221.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

sample318.0ms

Algorithm

intervals

Results

148.0ms	8000×	body	80	valid
14.0ms	605×	body	80	invalid

Details

analyze426.0ms

sample17.0ms

simplify452.0ms

prune4.0ms

localize6.0ms

rewrite9.0ms

series13.0ms

simplify57.0ms

prune38.0ms

localize7.0ms

rewrite15.0ms

series26.0ms

simplify39.0ms

prune75.0ms

localize16.0ms

rewrite43.0ms

series75.0ms

simplify39.0ms

prune132.0ms

localize20.0ms

rewrite63.0ms

series139.0ms

simplify73.0ms

prune203.0ms

regimes249.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze221.0ms

sample318.0ms

Profiling