Details

sample4.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.318359%

Guaranteed chance to sample good point: 15.830653%

Results

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

simplify133.0ms

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: 23.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.4b	(+ (* 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 (- t a))
6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (13.0ms)

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

prune180.0ms

Filtered

74 candidates to 110 candidates (-48.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	97	13	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	13	111

Merged error: 22.4b

Counts

111 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.4b	(+ (* x y) (* z (- t a)))
22.4b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite33.0ms

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:

8.0ms	(* 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))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (- b y))
152.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
15.0ms	(+ (* x y) (* z (- t a)))
62.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify83.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (63.0ms)

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

prune162.0ms

Filtered

92 candidates to 168 candidates (-82.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	168	13	181

Merged error: 22.4b

Counts

181 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (+ y (* z (- b y))))
0.4b	(+ (* x y) (* z (- t a)))
22.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite27.0ms

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

series120.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (- b y))
16.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* z (- t a)))
84.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (54.0ms)

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

prune144.0ms

Filtered

77 candidates to 128 candidates (-66.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	128	13	141

Merged error: 22.4b

Counts

141 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.4b	(+ (* x y) (* z (- t a)))
0.7b	(/ 1 (+ (* x y) (* z (- t a))))
21.7b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

10.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
4.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
10.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
12.0ms	(+ (* x y) (* z (- t a)))
19.0ms	(/ 1 (+ (* x y) (* z (- t a))))
64.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	499	1404
1	2401	1184
2	5001	1145

prune95.0ms

Filtered

76 candidates to 146 candidates (-92.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	2	8	10
Picked	0	1	1
Done	0	2	2
Total	147	12	159

Merged error: 22.4b

Counts

159 → 12

regimes992.0ms

Accuracy

0% (0.8b remaining)

Error of 23.8b against oracle of 23.0b and baseline of 23.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample4.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.318359%

Guaranteed chance to sample good point: 15.830653%

Results

441.0ms	8000×	body	80	valid
24.0ms	422×	body	80	invalid

Details

sample4.1s

simplify133.0ms

prune5.0ms

localize12.0ms

rewrite25.0ms

series118.0ms

simplify62.0ms

prune180.0ms

localize13.0ms

rewrite33.0ms

series236.0ms

simplify83.0ms

prune162.0ms

localize13.0ms

rewrite27.0ms

series120.0ms

simplify65.0ms

prune144.0ms

localize17.0ms

rewrite32.0ms

series245.0ms

simplify71.0ms

prune95.0ms

regimes992.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.9s

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