Details

analyze693.0ms

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

sample24.0ms

Algorithm

intervals

Results

9.0ms	245×	body	80	valid
2.0ms	65×	body	80	invalid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

9.0ms	(* x (+ (* (+ y z) 2) t))
10.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))

series26.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(* x (+ (* (+ y z) 2) t))
15.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5376	519

prune70.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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:

22.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
10.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
70.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
68.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
70.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune308.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize23.0ms

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
25.0ms	(* (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))))

series327.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
66.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
124.0ms	(* (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5279	3282

prune557.0ms

Filtered

89 candidates to 113 candidates (-27.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.1b	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
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))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

10.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
9.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
22.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
115.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
111.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
18.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4945	2206
1	4945	2206

prune177.0ms

Filtered

76 candidates to 112 candidates (-47.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	111	8	119

Merged error: 0.0b

Counts

119 → 8

regimes352.0ms

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	18	13
1	18	13

end0.0ms

sample640.0ms

Algorithm

intervals

Results

298.0ms	7709×	body	80	valid
68.0ms	1870×	body	80	invalid
15.0ms	113×	body	640	valid
15.0ms	88×	body	1280	valid
6.0ms	56×	body	320	valid
2.0ms	34×	body	160	valid

Details

analyze693.0ms

sample24.0ms

simplify8.0ms

prune8.0ms

localize13.0ms

rewrite19.0ms

series26.0ms

simplify39.0ms

prune70.0ms

localize16.0ms

rewrite53.0ms

series333.0ms

simplify61.0ms

prune308.0ms

localize23.0ms

rewrite57.0ms

series327.0ms

simplify82.0ms

prune557.0ms

localize11.0ms

rewrite53.0ms

series259.0ms

simplify58.0ms

prune177.0ms

regimes352.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample640.0ms

Profiling