Details

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 28.9433%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

14.0ms	256×	body	80	valid
3.0ms	80×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	55	7
2	101	7
3	182	7
4	335	7
5	731	7
6	1828	7
7	5001	7

prune3.0ms

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: 26.7b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
4.8b	(- (+ (* x x) (* y y)) (* z z))
24.9b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`pow1` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `diff-log` `div-exp` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv`

Counts

3 → 52

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
5.0ms	(- (+ (* x x) (* y y)) (* z z))
9.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series35.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x x) (* y y))
10.0ms	(- (+ (* x x) (* y y)) (* z z))
19.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	337	520
1	1492	454
2	5001	446

prune95.0ms

Filtered

46 candidates to 61 candidates (-32.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Merged error: 10.4b

Counts

62 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.2b	(* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)))
9.2b	(/ (pow x 2) y)
10.9b	(/ (pow z 2) y)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
56×	`times-frac`
50×	`*-un-lft-identity`
40×	`add-cube-cbrt`
26×	`unpow-prod-down`
16×	`add-exp-log` `associate-/l*`
10×	`associate-r` `add-cbrt-cube` `unpow2` `difference-of-squares` `sqr-pow`
9×	`add-log-exp`
6×	`pow1` `div-exp` `associate-/r*`
4×	`associate-*r/` `frac-sub` `distribute-lft-out--`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--l+`
2×	`cbrt-undiv` `pow-to-exp` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out`
1×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

19.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
25.0ms	(* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)))
5.0ms	(/ (pow x 2) y)
5.0ms	(/ (pow z 2) y)

series33.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
14.0ms	(* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)))
3.0ms	(/ (pow x 2) y)
4.0ms	(/ (pow z 2) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	523	1126
1	2010	1020
2	5002	1014

prune276.0ms

Filtered

106 candidates to 168 candidates (-58.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	161	7	168
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	165	8	173

Merged error: 1.1b

Counts

173 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
0.2b	(/ z (/ y z))
0.2b	(* 0.5 (- (+ y (/ (pow x 2) y)) (/ z (/ y z))))
9.2b	(/ (pow x 2) y)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

105×	`times-frac`
85×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
65×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r*`
13×	`add-cbrt-cube`
12×	`unpow-prod-down`
11×	`associate-/l*`
9×	`add-log-exp`
8×	`associate-r`
6×	`pow1` `div-exp` `div-inv` `difference-of-squares`
4×	`cbrt-undiv` `associate-*r/` `frac-sub` `distribute-lft-out--` `unpow2` `sqr-pow`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--l+`
2×	`flip3--` `frac-2neg` `flip3-+` `diff-log` `clear-num` `flip--` `flip-+` `distribute-lft-out`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 173

Calls

4 calls:

25.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
6.0ms	(/ z (/ y z))
26.0ms	(* 0.5 (- (+ y (/ (pow x 2) y)) (/ z (/ y z))))
5.0ms	(/ (pow x 2) y)

series34.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
4.0ms	(/ z (/ y z))
15.0ms	(* 0.5 (- (+ y (/ (pow x 2) y)) (/ z (/ y z))))
4.0ms	(/ (pow x 2) y)

simplify94.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	697	1298
1	3286	1185
2	5001	1184

prune232.0ms

Filtered

124 candidates to 185 candidates (-49.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	186	7	193

Merged error: 0.3b

Counts

193 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (* x (/ x y))) (/ z (/ y z)))
0.2b	(* x (/ x y))
0.2b	(/ z (/ y z))
0.2b	(* 0.5 (- (+ y (* x (/ x y))) (/ z (/ y z))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
81×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
56×	`add-cube-cbrt`
20×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
9×	`add-log-exp`
8×	`pow1`
6×	`associate-l` `div-inv` `difference-of-squares`
5×	`associate-*r/`
4×	`cbrt-undiv` `div-exp` `frac-sub`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `associate--l+` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`flip3--` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`
1×	`frac-2neg` `clear-num` `sum-log` `associate-/r/`

Counts

4 → 154

Calls

4 calls:

15.0ms	(- (+ y (* x (/ x y))) (/ z (/ y z)))
6.0ms	(* x (/ x y))
5.0ms	(/ z (/ y z))
17.0ms	(* 0.5 (- (+ y (* x (/ x y))) (/ z (/ y z))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (+ y (* x (/ x y))) (/ z (/ y z)))
3.0ms	(* x (/ x y))
4.0ms	(/ z (/ y z))
15.0ms	(* 0.5 (- (+ y (* x (/ x y))) (/ z (/ y z))))

simplify95.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	714	1184
1	3587	1084
2	5002	1084

prune134.0ms

Filtered

115 candidates to 166 candidates (-44.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	167	6	173

Merged error: 0.3b

Counts

173 → 6

regimes171.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 28.9433%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

342.0ms	8000×	body	80	valid
77.0ms	1771×	body	80	invalid

Details

sample1.4s

simplify51.0ms

prune3.0ms

localize9.0ms

rewrite19.0ms

series35.0ms

simplify40.0ms

prune95.0ms

localize11.0ms

rewrite59.0ms

series33.0ms

simplify64.0ms

prune276.0ms

localize10.0ms

rewrite69.0ms

series34.0ms

simplify94.0ms

prune232.0ms

localize12.0ms

rewrite50.0ms

series37.0ms

simplify95.0ms

prune134.0ms

regimes171.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling