Details

analyze278.0ms

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	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	34×	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	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite15.0ms

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) y)
8.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify47.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5599	345

prune45.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 x))
0.1b	(cbrt (- 1.0 x))
0.1b	(cbrt (- 1.0 x))
0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
10.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))
7.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5350	1165

prune198.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

3.8b	(* x (* x (* z z)))
3.9b	(- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z))))
8.1b	(* x (* z z))
27.0b	(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* x (* x (* z z)))
13.0ms	(- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z))))
5.0ms	(* x (* z z))
24.0ms	(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (* x (* z z)))
28.0ms	(- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z))))
7.0ms	(* x (* z z))
48.0ms	(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4979	1641
1	4979	1641

prune100.0ms

Filtered

64 candidates to 95 candidates (-48.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

regimes165.0ms

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

analyze303.0ms

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample390.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	80	valid
17.0ms	666×	body	80	invalid

Details

analyze278.0ms

sample16.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite15.0ms

series14.0ms

simplify47.0ms

prune45.0ms

localize9.0ms

rewrite23.0ms

series26.0ms

simplify39.0ms

prune198.0ms

localize14.0ms

rewrite51.0ms

series89.0ms

simplify52.0ms

prune100.0ms

regimes165.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze303.0ms

sample390.0ms

Profiling