Details

analyze3.5s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 15.844727%

sample27.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify108.0ms

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: 23.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
1.1b	(+ (* x y) (* z (- t a)))
22.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

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:

3.0ms	(+ y (* z (- b y)))
6.0ms	(* z (- t a))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
101.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	359	708
1	1499	648
2	5001	648

prune166.0ms

Filtered

69 candidates to 99 candidates (-43.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	86	13	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	13	100

Merged error: 22.9b

Counts

100 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.6b	(/ 1 (+ y (* z (- b y))))
1.1b	(+ (* x y) (* z (- t a)))
22.5b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite30.0ms

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)))
12.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series129.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
17.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
92.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (49.0ms)

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

prune142.0ms

Filtered

77 candidates to 128 candidates (-66.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	129	12	141

Merged error: 22.9b

Counts

141 → 12

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)))))
1.1b	(+ (* x y) (* z (- t a)))
22.8b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite31.0ms

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))
9.0ms	(/ 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))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
161.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
67.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify72.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (52.0ms)

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

prune146.0ms

Filtered

91 candidates to 168 candidates (-84.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	2	8	10
Picked	0	1	1
Done	1	0	1
Total	170	10	180

Merged error: 22.9b

Counts

180 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (+ y (* z (- b y))))
1.1b	(+ (* x y) (* z (- t a)))
1.2b	(/ 1 (+ (* x y) (* z (- t a))))
22.1b	(/ (/ 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))))
17.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* z (- t a)))
23.0ms	(/ 1 (+ (* x y) (* z (- t a))))
180.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify99.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1647	7166
1	5001	6605

prune309.0ms

Filtered

188 candidates to 380 candidates (-102.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	380	10	390

Merged error: 22.9b

Counts

390 → 10

regimes853.0ms

Accuracy

0% (0.7b remaining)

Error of 23.1b against oracle of 22.4b and baseline of 23.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

analyze3.7s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 15.844727%

sample719.0ms

Algorithm

intervals

Results

410.0ms	8000×	body	80	valid
18.0ms	378×	body	80	invalid

Details

analyze3.5s

sample27.0ms

simplify108.0ms

prune5.0ms

localize11.0ms

rewrite25.0ms

series128.0ms

simplify49.0ms

prune166.0ms

localize12.0ms

rewrite30.0ms

series129.0ms

simplify62.0ms

prune142.0ms

localize13.0ms

rewrite31.0ms

series249.0ms

simplify72.0ms

prune146.0ms

localize18.0ms

rewrite51.0ms

series233.0ms

simplify99.0ms

prune309.0ms

regimes853.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.7s

sample719.0ms

Profiling