Details

sample297.0ms

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
12.0ms	155×	body	80	invalid

simplify94.0ms

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	(pow (+ (* a a) (* b b)) 2.0)
0.8b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite28.0ms

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:

7.0ms	(+ (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))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (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))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
9.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify71.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (62.0ms)

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

prune145.0ms

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

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (- 1.0 (* 3.0 a)))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

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:

9.0ms	(* (* 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))

series105.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

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

prune231.0ms

Filtered

64 candidates to 82 candidates (-28.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
3.1b	(* (pow a 2) (pow b 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

4.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

series36.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
11.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
9.0ms	(* (pow a 2) (pow b 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	375	699
1	1613	621
2	5001	616

prune169.0ms

Filtered

60 candidates to 113 candidates (-88.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 3)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.8b	(* (* b b) (- 1.0 (* 3.0 a)))
32.0b	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
11×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`unpow-prod-down`
6×	`pow-unpow` `cube-prod`
4×	`cube-div` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `cbrt-div` `pow-pow` `distribute-lft-in` `flip3-+` `unpow3` `associate-*r/` `pow-exp` `flip-+`
1×	`flip3--` `pow1/3` `associate-l` `*-commutative` `flip--` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

9.0ms	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 3)
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
7.0ms	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 3))

series199.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 3)
20.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
24.0ms	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	572	1562
1	2773	1424
2	5002	1414

prune154.0ms

Filtered

60 candidates to 102 candidates (-70.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	102	5	107

Merged error: 0.0b

Counts

107 → 5

regimes212.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	28
1	31	28

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

552.0ms	8000×	body	80	valid
395.0ms	5307×	body	80	invalid

Details

sample297.0ms

simplify94.0ms

prune3.0ms

localize16.0ms

rewrite28.0ms

series58.0ms

simplify71.0ms

prune145.0ms

localize20.0ms

rewrite23.0ms

series105.0ms

simplify38.0ms

prune231.0ms

localize13.0ms

rewrite28.0ms

series36.0ms

simplify56.0ms

prune169.0ms

localize19.0ms

rewrite30.0ms

series199.0ms

simplify80.0ms

prune154.0ms

regimes212.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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