Details

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

12.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

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: 7.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

3.0ms	(- (* y z) x)
10.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
13.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series84.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
25.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
33.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
21.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	400	1011
1	1421	948
2	5002	947

prune151.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Merged error: 0.5b

Counts

111 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.5b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
2.6b	(/ x (- (* t z) x))
10.8b	(/ (* y z) (- (* t z) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
16×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*` `associate-/r/`
9×	`associate-/l*`
6×	`distribute-lft-out--` `add-log-exp`
5×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`distribute-rgt-out--` `frac-2neg` `clear-num`
2×	`flip3-+` `flip-+` `associate-/l/` `difference-of-squares`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div`

Counts

4 → 118

Calls

4 calls:

15.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
21.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ (* y z) (- (* t z) x))

series80.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
34.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
14.0ms	(/ x (- (* t z) x))
12.0ms	(/ (* y z) (- (* t z) x))

simplify52.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	477	1357
1	1966	1267
2	5002	1267

prune135.0ms

Filtered

90 candidates to 130 candidates (-44.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	132	7	139

Merged error: 0.5b

Counts

139 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b	(* y (/ z (- (* t z) x)))
2.6b	(/ x (- (* t z) x))
7.6b	(/ z (- (* t z) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

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

series65.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
11.0ms	(* y (/ z (- (* t z) x)))
11.0ms	(/ x (- (* t z) x))
10.0ms	(/ z (- (* t z) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	476	1296
1	2056	1196
2	5001	1196

prune153.0ms

Filtered

105 candidates to 145 candidates (-38.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	144	8	152

Merged error: 0.5b

Counts

152 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (/ 1 (+ x 1.0)))
2.5b	(* y (/ z (- (* t z) x)))
2.6b	(/ x (- (* t z) x))
7.6b	(/ z (- (* t z) x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
42×	`times-frac`
37×	`add-cube-cbrt`
33×	`associate-r`
22×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`pow1` `associate-/r/`
7×	`associate-l`
6×	`prod-exp` `associate-/r` `associate-/l`
5×	`div-exp` `unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`
1×	`rec-exp` `1-exp` `un-div-inv`

Counts

4 → 138

Calls

4 calls:

20.0ms	(* (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (/ 1 (+ x 1.0)))
8.0ms	(* y (/ z (- (* t z) x)))
5.0ms	(/ x (- (* t z) x))
7.0ms	(/ z (- (* t z) x))

series66.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (/ 1 (+ x 1.0)))
11.0ms	(* y (/ z (- (* t z) x)))
11.0ms	(/ x (- (* t z) x))
8.0ms	(/ z (- (* t z) x))

simplify73.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	593	1330
1	2887	1190
2	5001	1174

prune141.0ms

Filtered

110 candidates to 150 candidates (-36.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	150	8	158

Merged error: 0.5b

Counts

158 → 8

regimes283.0ms

Accuracy

0% (2.2b remaining)

Error of 2.5b against oracle of 0.3b and baseline of 2.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

391.0ms	8000×	body	80	valid
14.0ms	319×	body	80	invalid

Details

sample1.8s

simplify45.0ms

prune4.0ms

localize11.0ms

rewrite38.0ms

series84.0ms

simplify48.0ms

prune151.0ms

localize16.0ms

rewrite52.0ms

series80.0ms

simplify52.0ms

prune135.0ms

localize12.0ms

rewrite38.0ms

series65.0ms

simplify56.0ms

prune153.0ms

localize13.0ms

rewrite45.0ms

series66.0ms

simplify73.0ms

prune141.0ms

regimes283.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling