Details

sample3.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

13.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid

simplify124.0ms

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

prune5.0ms

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: 23.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
1.0b	(+ (* x y) (* z (- t a)))
22.4b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

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

series121.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* z (- b y))
7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
91.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	714
1	1759	659
2	5001	659

prune164.0ms

Filtered

74 candidates to 110 candidates (-48.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 22.5b

Counts

111 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.9b	(/ 1 (+ y (* z (- b y))))
1.0b	(+ (* x y) (* z (- t a)))
22.0b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (- t a))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
18.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
88.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	448	955
1	2212	847
2	5002	821

prune159.0ms

Filtered

77 candidates to 128 candidates (-66.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	127	11	138

Merged error: 22.5b

Counts

138 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.0b	(+ (* x y) (* z (- t a)))
22.3b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

6.0ms	(* z (- t a))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
6.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
155.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
65.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify72.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	570	2052
1	2752	1879
2	5001	1791

prune144.0ms

Filtered

95 candidates to 168 candidates (-76.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	168	11	179

Merged error: 22.5b

Counts

179 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 1 (+ (* x y) (* z (- t a))))
0.9b	(/ 1 (+ y (* z (- b y))))
1.0b	(+ (* x y) (* z (- t a)))
21.4b	(/ (/ 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:

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

series202.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify96.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1647	7166
1	5001	6605

prune298.0ms

Filtered

188 candidates to 380 candidates (-102.1%)

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: 22.5b

Counts

391 → 11

regimes754.0ms

Accuracy

0% (0.7b remaining)

Error of 23.8b against oracle of 23.1b and baseline of 23.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

650.0ms	8000×	body	80	valid
23.0ms	460×	body	80	invalid

Details

sample3.6s

simplify124.0ms

prune5.0ms

localize12.0ms

rewrite25.0ms

series121.0ms

simplify54.0ms

prune164.0ms

localize13.0ms

rewrite29.0ms

series125.0ms

simplify61.0ms

prune159.0ms

localize13.0ms

rewrite32.0ms

series239.0ms

simplify72.0ms

prune144.0ms

localize14.0ms

rewrite51.0ms

series202.0ms

simplify96.0ms

prune298.0ms

regimes754.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

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