Details

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 5.944824%

Results

16.0ms	256×	body	80	valid
1.0ms	15×	body	80	invalid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5002	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: 22.5b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(+ y (* z (- b y)))
0.4b	(+ (* x y) (* z (- t a)))
21.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

6.0ms	(* z (- b y))
3.0ms	(+ y (* z (- b y)))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* z (- b y))
7.0ms	(+ y (* z (- b y)))
13.0ms	(+ (* x y) (* z (- t a)))
87.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	353	708
1	1481	648
2	5001	648

prune136.0ms

Filtered

69 candidates to 99 candidates (-43.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 21.9b

Counts

100 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.3b	(/ 1 (+ y (* z (- b y))))
0.4b	(+ (* x y) (* z (- t a)))
21.5b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`associate-+r+` `add-log-exp`
7×	`pow1`
6×	`flip3-+` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `frac-times` `rec-exp` `1-exp` `associate-*l/` `sum-log` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 105

Calls

4 calls:

6.0ms	(+ y (* z (- b y)))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
16.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
90.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	400	949
1	1818	836
2	5001	810

prune136.0ms

Filtered

71 candidates to 117 candidates (-64.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	112	5	117
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	113	13	126

Merged error: 21.9b

Counts

126 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.4b	(+ (* x y) (* z (- t a)))
21.8b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 145

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
156.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
66.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify67.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	525	2046
1	2373	1868
2	5002	1780

prune141.0ms

Filtered

89 candidates to 157 candidates (-76.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	3	7	10
Picked	1	0	1
Done	0	2	2
Total	159	11	170

Merged error: 21.9b

Counts

170 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ y (* z (- b y))))
0.4b	(+ (* x y) (* z (- t a)))
1.0b	(/ 1 (+ (* x y) (* z (- t a))))
20.4b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
4×	`associate-+r+`
3×	`frac-2neg` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `distribute-lft-in` `inv-pow`
1×	`+-commutative` `sum-log` `associate-/l/`

Counts

4 → 368

Calls

4 calls:

4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
15.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
19.0ms	(/ 1 (+ (* x y) (* z (- t a))))
155.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1647	7166
1	5001	6605

prune295.0ms

Filtered

189 candidates to 380 candidates (-101.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	380	11	391

Merged error: 21.9b

Counts

391 → 11

regimes821.0ms

Accuracy

0% (0.6b remaining)

Error of 23.8b against oracle of 23.2b and baseline of 23.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample5.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 5.944824%

Results

405.0ms	8000×	body	80	valid
19.0ms	387×	body	80	invalid

Details

sample4.6s

simplify110.0ms

prune4.0ms

localize12.0ms

rewrite21.0ms

series115.0ms

simplify45.0ms

prune136.0ms

localize13.0ms

rewrite28.0ms

series126.0ms

simplify51.0ms

prune136.0ms

localize13.0ms

rewrite28.0ms

series242.0ms

simplify67.0ms

prune141.0ms

localize14.0ms

rewrite51.0ms

series203.0ms

simplify90.0ms

prune295.0ms

regimes821.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.6s

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