Details

analyze428.0ms

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
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

sample42.0ms

Algorithm

intervals

Results

10.0ms	29×	body	640	valid
9.0ms	179×	body	80	valid
8.0ms	24×	body	1280	valid
3.0ms	16×	body	320	valid
1.0ms	17×	body	80	invalid
1.0ms	8×	body	160	valid
0.0ms	2×	body	640	invalid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	320	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	8
1	67	8

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
3.0b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

4.0ms	(/ (sin y) y)
6.0ms	(* x (/ (sin y) y))
6.0ms	(/ (* x (/ (sin y) y)) z)

series29.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (sin y) y)
10.0ms	(* x (/ (sin y) y))
15.0ms	(/ (* x (/ (sin y) y)) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4952	739
1	4952	739

prune90.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
3.0b	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
15×	`cbrt-div`
13×	`add-cbrt-cube`
9×	`associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
19.0ms	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

series90.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (/ (sin y) y))
22.0ms	(cbrt (/ (sin y) y))
23.0ms	(cbrt (/ (sin y) y))
18.0ms	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5007	1030

prune102.0ms

Filtered

85 candidates to 110 candidates (-29.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	110	5	115

Merged error: 0b

Counts

115 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (sin y))
1.6b	(/ x (* y (/ z (sin y))))
9.1b	(* y (/ z (sin y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

3 → 83

Calls

3 calls:

3.0ms	(/ z (sin y))
5.0ms	(/ x (* y (/ z (sin y))))
7.0ms	(* y (/ z (sin y)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ z (sin y))
14.0ms	(/ x (* y (/ z (sin y))))
11.0ms	(* y (/ z (sin y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4964	739
1	4964	739

prune77.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.4b	(/ 1 (* y (/ z (* x (sin y)))))
3.1b	(/ z (* x (sin y)))
7.3b	(* y (/ z (* x (sin y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

4.0ms	(* x (sin y))
7.0ms	(/ 1 (* y (/ z (* x (sin y)))))
4.0ms	(/ z (* x (sin y)))
7.0ms	(* y (/ z (* x (sin y))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (sin y))
19.0ms	(/ 1 (* y (/ z (* x (sin y)))))
16.0ms	(/ z (* x (sin y)))
16.0ms	(* y (/ z (* x (sin y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	905
1	4967	905

prune75.0ms

Filtered

68 candidates to 115 candidates (-69.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	115	5	120

Merged error: 0b

Counts

120 → 5

regimes401.0ms

Accuracy

92% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	21	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

306.0ms	995×	body	1280	valid
258.0ms	5244×	body	80	valid
204.0ms	974×	body	640	valid
80.0ms	534×	body	320	valid
26.0ms	521×	body	80	invalid
26.0ms	253×	body	160	valid
10.0ms	49×	body	640	invalid
6.0ms	41×	body	320	invalid
3.0ms	30×	body	160	invalid
1.0ms	5×	body	1280	invalid

Details

analyze428.0ms

sample42.0ms

simplify4.0ms

prune10.0ms

localize7.0ms

rewrite18.0ms

series29.0ms

simplify60.0ms

prune90.0ms

localize11.0ms

rewrite29.0ms

series90.0ms

simplify61.0ms

prune102.0ms

localize7.0ms

rewrite17.0ms

series36.0ms

simplify56.0ms

prune77.0ms

localize8.0ms

rewrite25.0ms

series58.0ms

simplify58.0ms

prune75.0ms

regimes401.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling