Details

sample303.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 34.567261%

Guaranteed chance to sample good point: 97.691339%

Results

17.0ms	256×	body	80	valid
13.0ms	173×	body	80	invalid

simplify97.0ms

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

prune3.0ms

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	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (+ (* a a) (* b b)) 2.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

9.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
7.0ms	(* (* a a) (+ 1.0 a))
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series57.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
5.0ms	(* (* a a) (+ 1.0 a))
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	547	721
1	2714	641
2	5001	637

prune153.0ms

Filtered

61 candidates to 91 candidates (-49.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(pow (+ (* a a) (* b b)) 2.0)
10.3b	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
10.3b	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`add-exp-log` `unpow-prod-down` `pow-unpow` `sqrt-prod`
4×	`sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `flip3-+` `pow1/2` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

4.0ms	(pow (+ (* a a) (* b b)) 2.0)
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
6.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (+ (* a a) (* b b)) 2.0)
23.0ms	(pow (+ (* a a) (* b b)) 2.0)
30.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
31.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	290	994
1	1071	958
2	5001	942

prune231.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Merged error: 0b

Counts

81 → 6

localize30.0ms

Local error

Found 4 expressions with local error:

3.6b	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
10.3b	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
10.3b	(sqrt (+ (exp (log (pow (+ (* a a) (* b b)) 2.0))) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
20.7b	(log (pow (+ (* a a) (* b b)) 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`exp-sum`
6×	`pow1` `add-exp-log` `unpow-prod-down` `sqrt-prod`
4×	`exp-prod` `sqrt-div` `add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `log-pow` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

5.0ms	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
6.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
8.0ms	(sqrt (+ (exp (log (pow (+ (* a a) (* b b)) 2.0))) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
5.0ms	(log (pow (+ (* a a) (* b b)) 2.0))

series108.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
33.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
30.0ms	(sqrt (+ (exp (log (pow (+ (* a a) (* b b)) 2.0))) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))))
23.0ms	(log (pow (+ (* a a) (* b b)) 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	386	1063
1	1155	1005
2	5001	991

prune280.0ms

Filtered

60 candidates to 79 candidates (-31.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Merged error: 0b

Counts

85 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
3.6b	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
20.7b	(log (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
5.0ms	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
4.0ms	(log (pow (+ (* a a) (* b b)) 2.0))

series73.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
23.0ms	(pow (+ (* a a) (* b b)) 2.0)
21.0ms	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
23.0ms	(log (pow (+ (* a a) (* b b)) 2.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	364	656
1	1475	591
2	5001	567

prune151.0ms

Filtered

58 candidates to 91 candidates (-56.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Merged error: 0b

Counts

97 → 6

regimes232.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	32
1	29	32

end0.0ms

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 34.567261%

Guaranteed chance to sample good point: 97.691339%

Results

555.0ms	8000×	body	80	valid
403.0ms	5327×	body	80	invalid

Details

sample303.0ms

simplify97.0ms

prune3.0ms

localize16.0ms

rewrite30.0ms

series57.0ms

simplify72.0ms

prune153.0ms

localize24.0ms

rewrite22.0ms

series105.0ms

simplify42.0ms

prune231.0ms

localize30.0ms

rewrite26.0ms

series108.0ms

simplify45.0ms

prune280.0ms

localize21.0ms

rewrite23.0ms

series73.0ms

simplify44.0ms

prune151.0ms

regimes232.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling