Details

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 15.844727%

Results

13.0ms	256×	body	80	valid
1.0ms	17×	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: 23.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.8b	(+ (* x y) (* z (- t a)))
22.1b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite26.0ms

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))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
7.0ms	(* z (- t a))
14.0ms	(+ (* x y) (* z (- t a)))
88.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (10.0ms)

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

prune175.0ms

Filtered

74 candidates to 110 candidates (-48.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	12	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	12	111

Merged error: 22.4b

Counts

111 → 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)))))
0.8b	(+ (* x y) (* z (- t a)))
22.0b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite34.0ms

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))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
157.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
15.0ms	(+ (* x y) (* z (- t a)))
64.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify75.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (56.0ms)

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

prune167.0ms

Filtered

94 candidates to 168 candidates (-78.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	168	12	180

Merged error: 22.4b

Counts

180 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.8b	(+ (* x y) (* z (- t a)))
0.9b	(/ 1 (+ y (* z (- b y))))
21.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite31.0ms

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:

7.0ms	(* z (- t a))
4.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ 1 (+ y (* z (- b y))))
12.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series130.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
16.0ms	(+ (* x y) (* z (- t a)))
16.0ms	(/ 1 (+ y (* z (- b y))))
91.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (51.0ms)

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

prune144.0ms

Filtered

75 candidates to 128 candidates (-70.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	127	13	140

Merged error: 22.4b

Counts

140 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

14.1b	(cbrt (* z (- b y)))
14.1b	(cbrt (* z (- b y)))
14.1b	(cbrt (* z (- b y)))
22.1b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `associate-/r` `flip--` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

4.0ms	(cbrt (* z (- b y)))
5.0ms	(cbrt (* z (- b y)))
6.0ms	(cbrt (* z (- b y)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt (* z (- b y)))
34.0ms	(cbrt (* z (- b y)))
32.0ms	(cbrt (* z (- b y)))
97.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

simplify107.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	313	1099
1	1047	989
2	4106	954
3	5001	911

prune85.0ms

Filtered

66 candidates to 76 candidates (-15.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	76	13	89

Merged error: 22.4b

Counts

89 → 13

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 22.9b against oracle of 22.2b and baseline of 22.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 15.844727%

Results

410.0ms	8000×	body	80	valid
21.0ms	427×	body	80	invalid

Details

sample3.7s

simplify108.0ms

prune5.0ms

localize12.0ms

rewrite26.0ms

series116.0ms

simplify49.0ms

prune175.0ms

localize13.0ms

rewrite34.0ms

series244.0ms

simplify75.0ms

prune167.0ms

localize14.0ms

rewrite31.0ms

series130.0ms

simplify62.0ms

prune144.0ms

localize16.0ms

rewrite24.0ms

series196.0ms

simplify107.0ms

prune85.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling