Details

analyze417.0ms

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

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	53×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5021	11

prune11.0ms

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: 12.5b

Counts

2 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 1.0))
0.1b	(* z (* z (+ z 1.0)))
5.7b	(* x (/ y (* z (* z (+ z 1.0)))))
10.2b	(/ y (* z (* z (+ z 1.0))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

5.0ms	(* z (+ z 1.0))
6.0ms	(* z (* z (+ z 1.0)))
10.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms	(/ y (* z (* z (+ z 1.0))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (+ z 1.0))
5.0ms	(* z (* z (+ z 1.0)))
14.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms	(/ y (* z (* z (+ z 1.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4967	1121
1	4967	1121

prune127.0ms

Filtered

74 candidates to 115 candidates (-55.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	6	115
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0.8b

Counts

117 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(/ (cbrt y) (* z (+ z 1.0)))
2.1b	(* (* (cbrt y) (/ (cbrt y) z)) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(/ (cbrt y) (* z (+ z 1.0)))
8.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

series108.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(/ (cbrt y) (* z (+ z 1.0)))
41.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5489	660

prune120.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	81	11	92

Merged error: 0.4b

Counts

92 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(/ (cbrt y) (* z (+ z 1.0)))
1.7b	(* (cbrt y) (* (/ (cbrt y) z) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(/ (cbrt y) (* z (+ z 1.0)))
8.0ms	(* (cbrt y) (* (/ (cbrt y) z) x))

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(/ (cbrt y) (* z (+ z 1.0)))
40.0ms	(* (cbrt y) (* (/ (cbrt y) z) x))

simplify39.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5999	691

prune111.0ms

Filtered

66 candidates to 87 candidates (-31.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	87	11	98

Merged error: 0.4b

Counts

98 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (* (cbrt y) (/ (cbrt y) z)) x)
19.6b	(cbrt (/ (cbrt y) (* z (+ z 1.0))))
19.6b	(cbrt (/ (cbrt y) (* z (+ z 1.0))))
19.6b	(cbrt (/ (cbrt y) (* z (+ z 1.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
18×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/`
6×	`associate-/r/`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`cbrt-div` `flip3-+` `pow1/3` `associate-r` `pow-prod-down` `flip-+` `div-inv`
1×	`cbrt-undiv` `div-exp` `associate-l` `associate-l/` `-commutative`

Counts

4 → 84

Calls

4 calls:

7.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)
5.0ms	(cbrt (/ (cbrt y) (* z (+ z 1.0))))
5.0ms	(cbrt (/ (cbrt y) (* z (+ z 1.0))))
5.0ms	(cbrt (/ (cbrt y) (* z (+ z 1.0))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)
39.0ms	(cbrt (/ (cbrt y) (* z (+ z 1.0))))
37.0ms	(cbrt (/ (cbrt y) (* z (+ z 1.0))))
39.0ms	(cbrt (/ (cbrt y) (* z (+ z 1.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4932	1349
1	4932	1349

prune195.0ms

Filtered

79 candidates to 96 candidates (-21.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	95	12	107

Merged error: 0.4b

Counts

107 → 12

regimes464.0ms

Accuracy

0% (1.6b remaining)

Error of 3.3b against oracle of 1.8b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	17	18

end0.0ms

analyze361.0ms

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

sample496.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
49.0ms	1547×	body	80	invalid

Details

analyze417.0ms

sample19.0ms

simplify49.0ms

prune11.0ms

localize7.0ms

rewrite33.0ms

series31.0ms

simplify65.0ms

prune127.0ms

localize11.0ms

rewrite18.0ms

series108.0ms

simplify37.0ms

prune120.0ms

localize11.0ms

rewrite18.0ms

series105.0ms

simplify39.0ms

prune111.0ms

localize16.0ms

rewrite26.0ms

series152.0ms

simplify50.0ms

prune195.0ms

regimes464.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze361.0ms

sample496.0ms

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