Details

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.419556%

Guaranteed chance to sample good point: 82.601719%

Results

15.0ms	256×	body	80	valid
5.0ms	127×	body	80	invalid

simplify50.0ms

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: 26.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
2.9b	(- (+ (* x x) (* y y)) (* z z))
25.0b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite18.0ms

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:

3.0ms	(+ (* x x) (* y y))
5.0ms	(- (+ (* x x) (* y y)) (* z z))
8.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series33.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x x) (* y y))
10.0ms	(- (+ (* x x) (* y y)) (* z z))
18.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

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

prune87.0ms

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: 11.3b

Counts

62 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.0b	(+ y (/ (pow x 2) y))
7.7b	(/ (pow z 2) y)
13.6b	(/ (pow x 2) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
50×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
38×	`add-cube-cbrt`
25×	`unpow-prod-down`
16×	`associate-/l*`
14×	`add-exp-log`
11×	`add-log-exp`
9×	`unpow2` `sqr-pow`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
4×	`pow1`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 133

Calls

4 calls:

17.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
10.0ms	(+ y (/ (pow x 2) y))
4.0ms	(/ (pow z 2) y)
5.0ms	(/ (pow x 2) y)

series24.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
6.0ms	(+ y (/ (pow x 2) y))
3.0ms	(/ (pow z 2) y)
3.0ms	(/ (pow x 2) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	419	838
1	1459	771
2	5002	759

prune206.0ms

Filtered

92 candidates to 145 candidates (-57.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	144	6	150

Merged error: 0.0b

Counts

150 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (* x (/ x y))) (/ (pow z 2) y))
0.0b	(+ y (* x (/ x y)))
0.2b	(* x (/ x y))
7.7b	(/ (pow z 2) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`times-frac`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`unpow-prod-down` `associate-r`
11×	`add-cbrt-cube` `add-log-exp`
8×	`associate-/l*`
6×	`pow1`
5×	`unpow2` `difference-of-squares` `sqr-pow`
4×	`div-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `diff-log` `prod-exp` `sum-log` `frac-sub` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `associate-r/` `pow-prod-down` `pow-exp` `associate--l+` `clear-num` `-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 114

Calls

4 calls:

10.0ms	(- (+ y (* x (/ x y))) (/ (pow z 2) y))
2.0ms	(+ y (* x (/ x y)))
6.0ms	(* x (/ x y))
4.0ms	(/ (pow z 2) y)

series23.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (+ y (* x (/ x y))) (/ (pow z 2) y))
6.0ms	(+ y (* x (/ x y)))
3.0ms	(* x (/ x y))
3.0ms	(/ (pow z 2) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	447	721
1	1850	663
2	5001	660

prune134.0ms

Filtered

82 candidates to 126 candidates (-53.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ x (/ y x)))
0.0b	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b	(/ x (/ y x))
7.7b	(/ (pow z 2) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
63×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`add-exp-log`
13×	`unpow-prod-down`
11×	`add-cbrt-cube` `associate-/l*` `add-log-exp`
6×	`div-exp` `div-inv`
5×	`unpow2` `difference-of-squares` `sqr-pow`
4×	`pow1` `cbrt-undiv`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-exp` `associate--l+` `associate-/r/` `flip--`

Counts

4 → 154

Calls

4 calls:

13.0ms	(+ y (/ x (/ y x)))
20.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
5.0ms	(/ x (/ y x))
5.0ms	(/ (pow z 2) y)

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ y (/ x (/ y x)))
11.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
3.0ms	(/ x (/ y x))
3.0ms	(/ (pow z 2) y)

simplify73.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	605	1049
1	2708	969
2	5002	963

prune157.0ms

Filtered

112 candidates to 166 candidates (-48.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	166	6	172

Merged error: 0.0b

Counts

172 → 6

regimes187.0ms

Accuracy

91.2% (0.5b remaining)

Error of 1.7b against oracle of 1.2b and baseline of 7.0b

bsearch86.0ms

Steps

Iters	Range		Point
9	2.3540258567241566e+145	1.015622172021875e+154	9.968788754770824e+153
10	-5.3987357805270154e+157	-3.818257505344794e+138	-1.3369798884979556e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	22
1	41	22

end0.0ms

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.419556%

Guaranteed chance to sample good point: 82.601719%

Results

368.0ms	8000×	body	80	valid
169.0ms	3631×	body	80	invalid

Details

sample1.0s

simplify50.0ms

prune3.0ms

localize9.0ms

rewrite18.0ms

series33.0ms

simplify37.0ms

prune87.0ms

localize10.0ms

rewrite40.0ms

series24.0ms

simplify45.0ms

prune206.0ms

localize12.0ms

rewrite27.0ms

series23.0ms

simplify52.0ms

prune134.0ms

localize10.0ms

rewrite48.0ms

series23.0ms

simplify73.0ms

prune157.0ms

regimes187.0ms

bsearch86.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling