Details

analyze258.0ms

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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5073	12

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 13.5b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ t1 u) (neg (+ t1 u)))
8.5b	(/ v (* (+ t1 u) (neg (+ t1 u))))
8.8b	(* t1 (/ v (* (+ t1 u) (neg (+ t1 u)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

27×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
18×	`*-un-lft-identity` `flip3-+` `flip-+` `distribute-neg-frac`
16×	`add-sqr-sqrt` `associate-/r/`
12×	`frac-times` `add-cube-cbrt`
7×	`pow1` `associate-r/` `associate-l*`
6×	`times-frac` `associate-*l/` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `distribute-lft-neg-in` `distribute-rgt-neg-in` `div-exp`
3×	`distribute-lft-out` `associate-/l*` `add-log-exp`
2×	`distribute-neg-in` `pow-prod-down` `*-commutative` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `neg-mul-1` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `distribute-rgt-neg-out`

Counts

3 → 103

Calls

3 calls:

9.0ms	(* (+ t1 u) (neg (+ t1 u)))
8.0ms	(/ v (* (+ t1 u) (neg (+ t1 u))))
15.0ms	(* t1 (/ v (* (+ t1 u) (neg (+ t1 u)))))

series34.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (+ t1 u) (neg (+ t1 u)))
13.0ms	(/ v (* (+ t1 u) (neg (+ t1 u))))
16.0ms	(* t1 (/ v (* (+ t1 u) (neg (+ t1 u)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4984	1307
1	4984	1307

prune120.0ms

Filtered

73 candidates to 112 candidates (-53.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	106	8	114

Merged error: 0b

Counts

114 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt v)
0.5b	(cbrt v)
0.5b	(cbrt v)
6.6b	(* t1 (* (cbrt v) (/ (cbrt v) (+ t1 u))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down`
2×	`associate-*r/`
1×	`cbrt-undiv` `div-exp` `associate-r` `*-commutative`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt v)
1.0ms	(cbrt v)
1.0ms	(cbrt v)
10.0ms	(* t1 (* (cbrt v) (/ (cbrt v) (+ t1 u))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt v)
21.0ms	(cbrt v)
23.0ms	(cbrt v)
48.0ms	(* t1 (* (cbrt v) (/ (cbrt v) (+ t1 u))))

simplify43.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4994	351
1	4994	351

prune91.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	66	8	74

Merged error: 0b

Counts

74 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t1 (+ t1 u))
0.0b	(/ v (neg (+ t1 u)))
1.4b	(* (/ t1 (+ t1 u)) (/ v (neg (+ t1 u))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
100×	`times-frac`
79×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
42×	`associate-r`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
21×	`distribute-lft-out`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-l`
16×	`associate-/r*`
8×	`associate-/r/`
7×	`neg-mul-1`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `distribute-neg-frac` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 182

Calls

3 calls:

5.0ms	(/ t1 (+ t1 u))
6.0ms	(/ v (neg (+ t1 u)))
25.0ms	(* (/ t1 (+ t1 u)) (/ v (neg (+ t1 u))))

series37.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ t1 (+ t1 u))
11.0ms	(/ v (neg (+ t1 u)))
21.0ms	(* (/ t1 (+ t1 u)) (/ v (neg (+ t1 u))))

simplify47.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5146	2121

prune139.0ms

Filtered

128 candidates to 191 candidates (-49.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	192	7	199

Merged error: 0b

Counts

199 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (neg (+ t1 u)))
0.0b	(/ t1 (+ t1 u))
1.1b	(* (* (/ t1 (+ t1 u)) v) (/ 1 (neg (+ t1 u))))
3.1b	(* (/ t1 (+ t1 u)) v)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

111×	`*-un-lft-identity`
97×	`times-frac`
74×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
54×	`add-exp-log`
45×	`associate-r`
34×	`add-cbrt-cube`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
21×	`distribute-lft-out`
19×	`associate-l`
16×	`associate-/r*`
14×	`div-exp`
12×	`pow1` `cbrt-unprod`
8×	`cbrt-undiv` `associate-/r/`
7×	`neg-mul-1`
6×	`associate-/l*`
4×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*l/` `flip-+` `div-inv` `distribute-neg-frac` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`frac-times` `pow-flip` `associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 214

Calls

4 calls:

6.0ms	(/ 1 (neg (+ t1 u)))
5.0ms	(/ t1 (+ t1 u))
20.0ms	(* (* (/ t1 (+ t1 u)) v) (/ 1 (neg (+ t1 u))))
8.0ms	(* (/ t1 (+ t1 u)) v)

series46.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ 1 (neg (+ t1 u)))
5.0ms	(/ t1 (+ t1 u))
21.0ms	(* (* (/ t1 (+ t1 u)) v) (/ 1 (neg (+ t1 u))))
13.0ms	(* (/ t1 (+ t1 u)) v)

simplify72.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4965	2245
1	4965	2245

prune143.0ms

Filtered

126 candidates to 226 candidates (-79.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	226	7	233

Merged error: 0b

Counts

233 → 7

regimes243.0ms

Accuracy

-55.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 1.4b

bsearch169.0ms

Steps

Iters	Range		Point
4	1.8966605391995903e-193	3.214260527161633e-193	2.458284528206544e-193
6	-2.8982232461484674e-289	-7.094048826301366e-290	-1.450230774311497e-289

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	33
1	35	33

end0.0ms

analyze249.0ms

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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

sample438.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
8.0ms	249×	body	80	invalid

Details

analyze258.0ms

sample18.0ms

simplify47.0ms

prune10.0ms

localize7.0ms

rewrite37.0ms

series34.0ms

simplify43.0ms

prune120.0ms

localize11.0ms

rewrite14.0ms

series114.0ms

simplify43.0ms

prune91.0ms

localize9.0ms

rewrite42.0ms

series37.0ms

simplify47.0ms

prune139.0ms

localize8.0ms

rewrite48.0ms

series46.0ms

simplify72.0ms

prune143.0ms

regimes243.0ms

bsearch169.0ms

simplify1.0ms

end0.0ms

analyze249.0ms

sample438.0ms

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