Details

analyze373.0ms

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	55×	body	80	invalid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5434	11

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: 12.0b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (* z (+ z 1.0)))
8.0b	(* x (/ y (* z (* z (+ z 1.0)))))
9.2b	(/ y (* z (* z (+ z 1.0))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

7.0ms	(* z (* z (+ z 1.0)))
11.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms	(/ y (* z (* z (+ z 1.0))))

series31.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* z (* z (+ z 1.0)))
17.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
9.0ms	(/ y (* z (* z (+ z 1.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4949	954
1	4949	954

prune134.0ms

Filtered

58 candidates to 89 candidates (-53.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	84	7	91

Merged error: 1.8b

Counts

91 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.9b	(* (* (cbrt y) (/ (cbrt y) z)) x)
1.1b	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
2.5b	(/ (cbrt y) (* z (+ z 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
50×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
18×	`pow1`
15×	`associate-r`
14×	`cbrt-undiv` `div-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `times-frac`
9×	`pow-prod-down`
8×	`associate-*r/`
6×	`associate-/l*`
4×	`associate-*l/` `associate-/r/` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`
1×	`frac-times` `frac-2neg` `pow1/3` `clear-num` `associate-/r*`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt y)
7.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)
16.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
7.0ms	(/ (cbrt y) (* z (+ z 1.0)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
42.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)
17.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
23.0ms	(/ (cbrt y) (* z (+ z 1.0)))

simplify112.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4914	1298
1	4914	1298

prune191.0ms

Filtered

77 candidates to 124 candidates (-61.0%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	114	10	124
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	116	15	131

Merged error: 0.1b

Counts

131 → 15

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(* (* (cbrt y) (/ (cbrt y) z)) x)
1.1b	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

195×	`add-exp-log`
118×	`prod-exp`
89×	`add-cbrt-cube`
66×	`cbrt-unprod`
42×	`div-exp`
30×	`pow1`
22×	`cbrt-undiv`
18×	`pow-prod-down`
10×	`associate-*r/`
8×	`rec-exp` `1-exp` `associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`frac-times`
4×	`associate-r` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 122

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)
18.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
37.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)
20.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))

simplify71.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4922	1295
1	4922	1295

prune135.0ms

Filtered

50 candidates to 134 candidates (-168.0%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	4	10	14
Picked	0	1	1
Done	0	0	0
Total	135	14	149

Merged error: 0.1b

Counts

149 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(* (* (cbrt y) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z)) x)
1.1b	(* (* (* (cbrt y) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z)) x) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

351×	`add-exp-log`
222×	`prod-exp`
147×	`add-cbrt-cube`
126×	`cbrt-unprod`
78×	`div-exp`
42×	`cbrt-undiv`
30×	`pow1`
18×	`pow-prod-down`
12×	`rec-exp` `1-exp`
10×	`associate-*r/`
8×	`associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`frac-times`
4×	`associate-r` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 154

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(* (* (cbrt y) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z)) x)
28.0ms	(* (* (* (cbrt y) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z)) x) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))

series111.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
27.0ms	(cbrt y)
46.0ms	(* (* (cbrt y) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z)) x)
17.0ms	(* (* (* (cbrt y) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z)) x) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))

simplify172.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4880	2316
1	4880	2316

prune97.0ms

Filtered

50 candidates to 166 candidates (-232.0%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	165	15	180

Merged error: 0.0b

Counts

180 → 15

regimes294.0ms

Accuracy

0% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	20
1	48	20

end0.0ms

sample558.0ms

Algorithm

intervals

Results

293.0ms	8000×	body	80	valid
54.0ms	1559×	body	80	invalid

Details

analyze373.0ms

sample21.0ms

simplify83.0ms

prune10.0ms

localize7.0ms

rewrite27.0ms

series31.0ms

simplify56.0ms

prune134.0ms

localize13.0ms

rewrite36.0ms

series103.0ms

simplify112.0ms

prune191.0ms

localize12.0ms

rewrite34.0ms

series100.0ms

simplify71.0ms

prune135.0ms

localize16.0ms

rewrite56.0ms

series111.0ms

simplify172.0ms

prune97.0ms

regimes294.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample558.0ms

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