Details

sample4.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.341797%

Guaranteed chance to sample good point: 18.410093%

Results

10.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune4.0ms

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: 2.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.7b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

34.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(/ (+ (- t z) 1.0) a)
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
7.0ms	(/ (+ (- t z) 1.0) a)
31.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune222.0ms

Filtered

119 candidates to 201 candidates (-68.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	4	202

Merged error: 0.0b

Counts

202 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.4b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

3.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
15.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series73.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
30.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify49.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune124.0ms

Filtered

77 candidates to 123 candidates (-59.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	122	5	127

Merged error: 0.0b

Counts

127 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b	(/ a (+ (- t z) 1.0))
8.4b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

3 → 95

Calls

3 calls:

3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
7.0ms	(/ a (+ (- t z) 1.0))
16.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
8.0ms	(/ a (+ (- t z) 1.0))
19.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	686
1	1779	630
2	5002	630

prune111.0ms

Filtered

71 candidates to 104 candidates (-46.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z 1.0) a)
0.0b	(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
0.8b	(- (/ t a) (/ (- z 1.0) a))
9.7b	(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

225×	`*-un-lft-identity`
203×	`times-frac`
193×	`add-sqr-sqrt`
91×	`distribute-lft-out--`
64×	`add-cube-cbrt`
50×	`difference-of-squares`
18×	`associate-/r*`
16×	`div-inv`
10×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`distribute-rgt-out--`
5×	`flip3--` `flip--`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `sub-div` `associate--r-`

Counts

4 → 195

Calls

4 calls:

5.0ms	(/ (- z 1.0) a)
37.0ms	(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
19.0ms	(- (/ t a) (/ (- z 1.0) a))
23.0ms	(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

series126.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- z 1.0) a)
71.0ms	(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
14.0ms	(- (/ t a) (/ (- z 1.0) a))
38.0ms	(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

simplify68.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	693	1961
1	2313	1903
2	5001	1902

prune182.0ms

Filtered

135 candidates to 207 candidates (-53.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	207	5	212

Merged error: 0.0b

Counts

212 → 5

regimes355.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.341797%

Guaranteed chance to sample good point: 18.410093%

Results

372.0ms	8000×	body	80	valid
19.0ms	447×	body	80	invalid

Details

sample4.2s

simplify67.0ms

prune4.0ms

localize9.0ms

rewrite66.0ms

series67.0ms

simplify71.0ms

prune222.0ms

localize9.0ms

rewrite32.0ms

series73.0ms

simplify49.0ms

prune124.0ms

localize11.0ms

rewrite29.0ms

series61.0ms

simplify49.0ms

prune111.0ms

localize10.0ms

rewrite95.0ms

series126.0ms

simplify68.0ms

prune182.0ms

regimes355.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Profiling