Details

analyze714.0ms

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample25.0ms

Algorithm

intervals

Results

9.0ms	245×	body	80	valid
2.0ms	67×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ y z) 2) t)
0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.3b	(* x (+ (* (+ y z) 2) t))

rewrite28.0ms

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` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

7.0ms	(+ (* (+ y z) 2) t)
10.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
10.0ms	(* x (+ (* (+ y z) 2) t))

series33.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* (+ y z) 2) t)
15.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
12.0ms	(* x (+ (* (+ y z) 2) t))

simplify21.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5082	662

prune84.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0.3b

Counts

56 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
10.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
10.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
28.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
70.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
72.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
126.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

simplify69.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune316.0ms

Filtered

84 candidates to 99 candidates (-17.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	9	105

Merged error: 0.3b

Counts

105 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.6b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 96

Calls

4 calls:

11.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
11.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
25.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

series334.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
71.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
68.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
123.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5139	2947

prune576.0ms

Filtered

91 candidates to 108 candidates (-18.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	108	9	117

Merged error: 0.3b

Counts

117 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.2b	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.3b	(* x (+ (* (+ y z) 2) t))
0.3b	(* x (+ (* (+ y z) 2) t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

10.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
29.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
10.0ms	(* x (+ (* (+ y z) 2) t))
11.0ms	(* x (+ (* (+ y z) 2) t))

series156.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
16.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
11.0ms	(* x (+ (* (+ y z) 2) t))
12.0ms	(* x (+ (* (+ y z) 2) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5051	2134

prune171.0ms

Filtered

75 candidates to 128 candidates (-70.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	128	9	137

Merged error: 0.3b

Counts

137 → 9

regimes341.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

sample648.0ms

Algorithm

intervals

Results

282.0ms	7724×	body	80	valid
69.0ms	1891×	body	80	invalid
16.0ms	80×	body	1280	valid
13.0ms	99×	body	640	valid
9.0ms	61×	body	320	valid
2.0ms	36×	body	160	valid

Details

analyze714.0ms

sample25.0ms

simplify12.0ms

prune8.0ms

localize10.0ms

rewrite28.0ms

series33.0ms

simplify21.0ms

prune84.0ms

localize15.0ms

rewrite61.0ms

series335.0ms

simplify69.0ms

prune316.0ms

localize29.0ms

rewrite60.0ms

series334.0ms

simplify65.0ms

prune576.0ms

localize13.0ms

rewrite63.0ms

series156.0ms

simplify43.0ms

prune171.0ms

regimes341.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample648.0ms

Profiling