Details

analyze396.0ms

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

sample38.0ms

Algorithm

intervals

Results

10.0ms	33×	body	1280	valid
8.0ms	175×	body	80	valid
5.0ms	27×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	3×	body	640	invalid
1.0ms	11×	body	80	invalid
0.0ms	2×	body	320	invalid
0.0ms	1×	body	160	invalid

simplify3.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.1b	(/ (* x (/ (sin y) y)) z)

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-/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:

6.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series31.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
18.0ms	(/ (* x (/ (sin y) y)) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4952	739
1	4952	739

prune100.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.3b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 105

Calls

3 calls:

6.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
10.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series28.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
14.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4979	943
1	4979	943

prune108.0ms

Filtered

70 candidates to 114 candidates (-62.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	113	8	121

Merged error: 0b

Counts

121 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 z))
0.6b	(cbrt (/ 1 z))
1.0b	(* x (* (/ (sin y) y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))))
1.1b	(* (* x (* (/ (sin y) y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))) (cbrt (/ 1 z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
39×	`cbrt-prod`
37×	`associate-*r/`
34×	`cbrt-div`
33×	`add-cbrt-cube`
28×	`prod-exp` `cbrt-unprod`
27×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
22×	`frac-times`
17×	`associate-r`
16×	`pow-prod-down` `associate-*l/`
4×	`cbrt-undiv` `div-exp` `associate-l` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 132

Calls

4 calls:

2.0ms	(cbrt (/ 1 z))
2.0ms	(cbrt (/ 1 z))
14.0ms	(* x (* (/ (sin y) y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))))
19.0ms	(* (* x (* (/ (sin y) y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))) (cbrt (/ 1 z)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (/ 1 z))
21.0ms	(cbrt (/ 1 z))
39.0ms	(* x (* (/ (sin y) y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))))
18.0ms	(* (* x (* (/ (sin y) y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))) (cbrt (/ 1 z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5296	1372

prune171.0ms

Filtered

80 candidates to 144 candidates (-80.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	144	8	152

Merged error: 0b

Counts

152 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
2.1b	(/ (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (/ y (cbrt (sin y))))) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
23×	`add-cbrt-cube`
12×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
4×	`pow1` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r*`
1×	`frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
13.0ms	(/ (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (/ y (cbrt (sin y))))) z)

series68.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))
15.0ms	(/ (* x (/ (* (cbrt (sin y)) (cbrt (sin y))) (/ y (cbrt (sin y))))) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5000	546

prune58.0ms

Filtered

49 candidates to 75 candidates (-53.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	75	8	83

Merged error: 0b

Counts

83 → 8

regimes417.0ms

Accuracy

92.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.6b

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

301.0ms	986×	body	1280	valid
267.0ms	5272×	body	80	valid
195.0ms	963×	body	640	valid
72.0ms	507×	body	320	valid
27.0ms	272×	body	160	valid
25.0ms	514×	body	80	invalid
10.0ms	49×	body	640	invalid
7.0ms	51×	body	320	invalid
2.0ms	8×	body	1280	invalid
2.0ms	22×	body	160	invalid

Details

analyze396.0ms

sample38.0ms

simplify3.0ms

prune10.0ms

localize8.0ms

rewrite17.0ms

series31.0ms

simplify53.0ms

prune100.0ms

localize8.0ms

rewrite23.0ms

series28.0ms

simplify52.0ms

prune108.0ms

localize16.0ms

rewrite44.0ms

series99.0ms

simplify102.0ms

prune171.0ms

localize15.0ms

rewrite19.0ms

series68.0ms

simplify47.0ms

prune58.0ms

regimes417.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling