Details

analyze616.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	66×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

7.0ms	(+ (* (+ (* x y) z) y) t)
4.0ms	(+ (* x y) z)
6.0ms	(* (+ (* x y) z) y)

series33.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (* (+ (* x y) z) y) t)
5.0ms	(+ (* x y) z)
9.0ms	(* (+ (* x y) z) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune71.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
0.1b	(* y (+ (* x y) z))
0.2b	(pow (* y (+ (* x y) z)) 3)
32.1b	(cbrt (pow (* y (+ (* x y) z)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

4.0ms	(+ (* x y) z)
6.0ms	(* y (+ (* x y) z))
6.0ms	(pow (* y (+ (* x y) z)) 3)
3.0ms	(cbrt (pow (* y (+ (* x y) z)) 3))

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* x y) z)
7.0ms	(* y (+ (* x y) z))
21.0ms	(pow (* y (+ (* x y) z)) 3)
10.0ms	(cbrt (pow (* y (+ (* x y) z)) 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4969	849
1	4969	849

prune119.0ms

Filtered

66 candidates to 88 candidates (-33.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* x y) z))
0.2b	(* (sqrt (* y (+ (* x y) z))) (sqrt (* y (+ (* x y) z))))
7.3b	(sqrt (* y (+ (* x y) z)))
7.3b	(sqrt (* y (+ (* x y) z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* y (+ (* x y) z))
14.0ms	(* (sqrt (* y (+ (* x y) z))) (sqrt (* y (+ (* x y) z))))
5.0ms	(sqrt (* y (+ (* x y) z)))
5.0ms	(sqrt (* y (+ (* x y) z)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (+ (* x y) z))
10.0ms	(* (sqrt (* y (+ (* x y) z))) (sqrt (* y (+ (* x y) z))))
14.0ms	(sqrt (* y (+ (* x y) z)))
16.0ms	(sqrt (* y (+ (* x y) z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5331	1127

prune114.0ms

Filtered

79 candidates to 117 candidates (-48.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* y (+ (* y x) z)))) 3) (sqrt (sqrt (* y (+ (* x y) z)))))
0.4b	(pow (sqrt (sqrt (* y (+ (* y x) z)))) 3)
7.3b	(sqrt (* y (+ (* x y) z)))
7.3b	(sqrt (* y (+ (* y x) z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
32×	`sqrt-div`
20×	`associate-r/` `associate-l*`
18×	`unpow-prod-down` `cube-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1`
12×	`unswap-sqr`
10×	`add-exp-log` `sqrt-pow1`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`associate-r` `add-cbrt-cube`
6×	`pow-pow`
4×	`frac-times` `pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-*l/` `pow-exp`
1×	`*-commutative` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

18.0ms	(* (pow (sqrt (sqrt (* y (+ (* y x) z)))) 3) (sqrt (sqrt (* y (+ (* x y) z)))))
8.0ms	(pow (sqrt (sqrt (* y (+ (* y x) z)))) 3)
5.0ms	(sqrt (* y (+ (* x y) z)))
5.0ms	(sqrt (* y (+ (* y x) z)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (pow (sqrt (sqrt (* y (+ (* y x) z)))) 3) (sqrt (sqrt (* y (+ (* x y) z)))))
46.0ms	(pow (sqrt (sqrt (* y (+ (* y x) z)))) 3)
13.0ms	(sqrt (* y (+ (* x y) z)))
14.0ms	(sqrt (* y (+ (* y x) z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5432	1806

prune129.0ms

Filtered

84 candidates to 136 candidates (-61.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	135	9	144

Merged error: 0.0b

Counts

144 → 9

regimes465.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample501.0ms

Algorithm

intervals

Results

228.0ms	8000×	body	80	valid
51.0ms	1797×	body	80	invalid

Details

analyze616.0ms

sample20.0ms

simplify3.0ms

prune6.0ms

localize6.0ms

rewrite18.0ms

series33.0ms

simplify38.0ms

prune71.0ms

localize10.0ms

rewrite21.0ms

series42.0ms

simplify35.0ms

prune119.0ms

localize9.0ms

rewrite34.0ms

series46.0ms

simplify36.0ms

prune114.0ms

localize17.0ms

rewrite40.0ms

series83.0ms

simplify46.0ms

prune129.0ms

regimes465.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample501.0ms

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