Details

analyze386.0ms

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

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	46×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5021	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: 8.6b

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)))
5.2b	(/ y (* z (* z (+ z 1.0))))
6.7b	(* x (/ y (* z (* z (+ z 1.0)))))

rewrite35.0ms

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:

6.0ms	(* z (+ z 1.0))
7.0ms	(* z (* z (+ z 1.0)))
8.0ms	(/ y (* z (* z (+ z 1.0))))
11.0ms	(* x (/ y (* z (* z (+ z 1.0)))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* z (+ z 1.0))
5.0ms	(* z (* z (+ z 1.0)))
11.0ms	(/ y (* z (* z (+ z 1.0))))
14.0ms	(* x (/ y (* z (* z (+ z 1.0)))))

simplify29.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5158	1122

prune122.0ms

Filtered

72 candidates to 115 candidates (-59.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Merged error: 1.3b

Counts

117 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.2b	(/ (cbrt y) (* z (+ z 1.0)))
1.2b	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt y) (* z (+ z 1.0))))
3.5b	(* x (* (cbrt y) (/ (cbrt y) z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

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

series93.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
25.0ms	(/ (cbrt y) (* z (+ z 1.0)))
18.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt y) (* z (+ z 1.0))))
28.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5029	1385

prune139.0ms

Filtered

77 candidates to 124 candidates (-61.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	120	10	130

Merged error: 0.3b

Counts

130 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ z 1.0))
2.0b	(/ (* x (/ y z)) (* z (+ z 1.0)))
4.7b	(* x (/ y z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

6.0ms	(* z (+ z 1.0))
9.0ms	(/ (* x (/ y z)) (* z (+ z 1.0)))
6.0ms	(* x (/ y z))

series23.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4964	799
1	4964	799

prune108.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	92	10	102

Merged error: 0.2b

Counts

102 → 10

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 1.0))
0.1b	(/ (* x (/ y (* z (+ z 1.0)))) z)
4.7b	(/ y (* z (+ z 1.0)))
5.2b	(* x (/ y (* z (+ z 1.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

6.0ms	(* z (+ z 1.0))
12.0ms	(/ (* x (/ y (* z (+ z 1.0)))) z)
6.0ms	(/ y (* z (+ z 1.0)))
9.0ms	(* x (/ y (* z (+ z 1.0))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (+ z 1.0))
15.0ms	(/ (* x (/ y (* z (+ z 1.0)))) z)
6.0ms	(/ y (* z (+ z 1.0)))
12.0ms	(* x (/ y (* z (+ z 1.0))))

simplify31.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5078	1139

prune99.0ms

Filtered

76 candidates to 113 candidates (-48.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	112	11	123

Merged error: 0.0b

Counts

123 → 11

regimes474.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample531.0ms

Algorithm

intervals

Results

270.0ms	8000×	body	80	valid
57.0ms	1583×	body	80	invalid

Details

analyze386.0ms

sample22.0ms

simplify49.0ms

prune10.0ms

localize7.0ms

rewrite35.0ms

series35.0ms

simplify29.0ms

prune122.0ms

localize11.0ms

rewrite38.0ms

series93.0ms

simplify37.0ms

prune139.0ms

localize7.0ms

rewrite24.0ms

series23.0ms

simplify51.0ms

prune108.0ms

localize7.0ms

rewrite36.0ms

series37.0ms

simplify31.0ms

prune99.0ms

regimes474.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample531.0ms

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