Details

analyze389.0ms

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
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	47×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5021	11

prune9.0ms

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: 10.1b

Counts

2 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 1.0))
0.1b	(* z (* z (+ z 1.0)))
6.6b	(* x (/ y (* z (* z (+ z 1.0)))))
8.0b	(/ y (* z (* z (+ z 1.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`associate-*r/`
14×	`-un-lft-identity` `associate-r*` `prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`add-cube-cbrt`
9×	`associate-l`
6×	`cbrt-undiv` `times-frac` `div-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

6.0ms	(* z (+ z 1.0))
7.0ms	(* z (* z (+ z 1.0)))
11.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms	(/ y (* z (* z (+ z 1.0))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (+ z 1.0))
5.0ms	(* z (* z (+ z 1.0)))
16.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms	(/ y (* z (* z (+ z 1.0))))

simplify28.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5158	1122

prune139.0ms

Filtered

74 candidates to 115 candidates (-55.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	108	9	117

Merged error: 1.4b

Counts

117 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.7b	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
2.4b	(/ (cbrt y) (* z (+ z 1.0)))
3.1b	(* (* (cbrt y) (/ (cbrt y) z)) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
50×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
18×	`pow1`
15×	`associate-r`
14×	`cbrt-undiv` `div-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `times-frac`
9×	`pow-prod-down`
8×	`associate-*r/`
6×	`associate-/l*`
4×	`associate-*l/` `associate-/r/` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`
1×	`frac-times` `frac-2neg` `pow1/3` `clear-num` `associate-/r*`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt y)
16.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
7.0ms	(/ (cbrt y) (* z (+ z 1.0)))
8.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

series102.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
16.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
23.0ms	(/ (cbrt y) (* z (+ z 1.0)))
41.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5114	1389

prune152.0ms

Filtered

79 candidates to 124 candidates (-57.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	122	11	133

Merged error: 0.0b

Counts

133 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* x (/ (cbrt (* (cbrt y) (cbrt y))) z))
2.9b	(* (cbrt y) (* (/ (cbrt y) z) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
25×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
19×	`prod-exp` `cbrt-unprod`
17×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
15×	`pow1`
14×	`times-frac`
13×	`cbrt-prod`
9×	`associate-l`
7×	`associate-*r/` `pow-prod-down`
6×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative`
1×	`frac-times` `associate-*l/` `div-inv`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(* x (/ (cbrt (* (cbrt y) (cbrt y))) z))
12.0ms	(* (cbrt y) (* (/ (cbrt y) z) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
32.0ms	(* x (/ (cbrt (* (cbrt y) (cbrt y))) z))
58.0ms	(* (cbrt y) (* (/ (cbrt y) z) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z))))

simplify69.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4947	1238
1	4947	1238

prune139.0ms

Filtered

70 candidates to 105 candidates (-50.0%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	102	14	116

Merged error: 0.0b

Counts

116 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(* x (/ (cbrt (* (cbrt y) (cbrt y))) z))
1.0b	(/ (* (cbrt y) (* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z)))) z)
1.2b	(* (cbrt y) (* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z))))
2.0b	(* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
31×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
25×	`prod-exp` `cbrt-unprod`
20×	`pow1`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-r`
17×	`times-frac`
15×	`associate-l`
10×	`cbrt-prod` `pow-prod-down`
9×	`cbrt-undiv` `associate-*r/` `div-exp`
4×	`add-log-exp`
3×	`associate-/r` `-commutative` `unswap-sqr`
2×	`div-inv`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

7.0ms	(* x (/ (cbrt (* (cbrt y) (cbrt y))) z))
11.0ms	(/ (* (cbrt y) (* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z)))) z)
11.0ms	(* (cbrt y) (* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z))))
9.0ms	(* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* x (/ (cbrt (* (cbrt y) (cbrt y))) z))
54.0ms	(/ (* (cbrt y) (* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z)))) z)
47.0ms	(* (cbrt y) (* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z))))
43.0ms	(* (cbrt y) (* x (/ (cbrt (* (cbrt y) (cbrt y))) z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4926	1647
1	4926	1647

prune112.0ms

Filtered

84 candidates to 127 candidates (-51.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	127	14	141

Merged error: 0.0b

Counts

141 → 14

regimes253.0ms

Accuracy

0% (2.6b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	26
1	21	26

end0.0ms

sample517.0ms

Algorithm

intervals

Results

269.0ms	8000×	body	80	valid
49.0ms	1527×	body	80	invalid

Details

analyze389.0ms

sample21.0ms

simplify49.0ms

prune9.0ms

localize7.0ms

rewrite34.0ms

series34.0ms

simplify28.0ms

prune139.0ms

localize12.0ms

rewrite36.0ms

series102.0ms

simplify39.0ms

prune152.0ms

localize19.0ms

rewrite25.0ms

series135.0ms

simplify69.0ms

prune139.0ms

localize17.0ms

rewrite42.0ms

series176.0ms

simplify69.0ms

prune112.0ms

regimes253.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample517.0ms

Profiling