Details

sample4.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 5.944824%

Results

13.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify109.0ms

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: 25.5b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
1.3b	(+ (* x y) (* z (- t a)))
24.6b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite24.0ms

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

series112.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
7.0ms	(* z (- b y))
13.0ms	(+ (* x y) (* z (- t a)))
86.0ms	(/ (+ (* 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

prune128.0ms

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: 24.8b

Counts

100 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (+ y (* z (- b y))))
1.3b	(+ (* x y) (* z (- t a)))
24.4b	(* (+ (* 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 (- b y))
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)))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
18.0ms	(/ 1 (+ y (* z (- b y))))
22.0ms	(+ (* x y) (* z (- t a)))
97.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify89.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	449	955
1	2234	847
2	5001	821

prune193.0ms

Filtered

75 candidates to 128 candidates (-70.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	127	10	137

Merged error: 24.8b

Counts

137 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.3b	(+ (* x y) (* z (- t a)))
24.6b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite30.0ms

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 (- 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))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
159.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
79.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify83.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	576	2057
1	2790	1879
2	5001	1791

prune137.0ms

Filtered

92 candidates to 168 candidates (-82.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	168	10	178

Merged error: 24.8b

Counts

178 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (+ y (* z (- b y))))
1.3b	(+ (* x y) (* z (- t a)))
1.5b	(/ 1 (+ (* x y) (* z (- t a))))
23.2b	(/ (/ 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:

7.0ms	(/ 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)))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
19.0ms	(/ 1 (+ (* x y) (* z (- t a))))
157.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1647	7166
1	5001	6605

prune296.0ms

Filtered

188 candidates to 380 candidates (-102.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	380	10	390

Merged error: 24.8b

Counts

390 → 10

regimes825.0ms

Accuracy

0% (0.6b remaining)

Error of 23.6b against oracle of 23.0b and baseline of 23.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample5.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 5.944824%

Results

436.0ms	8000×	body	80	valid
21.0ms	418×	body	80	invalid

Details

sample4.7s

simplify109.0ms

prune5.0ms

localize12.0ms

rewrite24.0ms

series112.0ms

simplify45.0ms

prune128.0ms

localize13.0ms

rewrite29.0ms

series143.0ms

simplify89.0ms

prune193.0ms

localize13.0ms

rewrite30.0ms

series258.0ms

simplify83.0ms

prune137.0ms

localize15.0ms

rewrite51.0ms

series206.0ms

simplify92.0ms

prune296.0ms

regimes825.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.3s

Profiling