Details

sample246.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 60.975638%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

17.0ms

256×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

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: 0.2b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

12.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
8.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
7.0ms	(* (* a a) (+ 1.0 a))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify99.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	694	813
1	3813	726
2	5002	722

prune174.0ms

Filtered

69 candidates to 104 candidates (-50.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Merged error: 0.1b

Counts

105 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* a (* a (+ 1.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--`
2×	`sub-neg` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

13.0ms	(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
7.0ms	(* a (* a (+ 1.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* 4.0 (+ (* a (* a (+ 1.0 a))) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms	(* a (* a (+ 1.0 a)))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify90.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	684	814
1	3476	725
2	5002	721

prune161.0ms

Filtered

67 candidates to 104 candidates (-55.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Merged error: 0.1b

Counts

110 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1.0 (* 3.0 a)))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series112.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
36.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
35.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	295	702
1	1114	636
2	5001	618

prune274.0ms

Filtered

64 candidates to 82 candidates (-28.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	78	10	88

Merged error: 0.1b

Counts

88 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

5.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series142.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
36.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
35.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
37.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	212	832
1	481	780
2	1535	756
3	5002	726

prune272.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	74	14	88

Merged error: 0.1b

Counts

88 → 14

regimes318.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	15
1	29	15

end0.0ms

sample889.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 60.975638%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

536.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

sample246.0ms

simplify93.0ms

prune5.0ms

localize16.0ms

rewrite34.0ms

series50.0ms

simplify99.0ms

prune174.0ms

localize17.0ms

rewrite35.0ms

series47.0ms

simplify90.0ms

prune161.0ms

localize22.0ms

rewrite22.0ms

series112.0ms

simplify40.0ms

prune274.0ms

localize28.0ms

rewrite21.0ms

series142.0ms

simplify55.0ms

prune272.0ms

regimes318.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample889.0ms

Profiling