Details

sample259.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 60.9375%

Guaranteed chance to sample good point: 96.28125%

Results

17.0ms

256×

body

valid

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

localize19.0ms

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))
0.2b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

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

series62.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
6.0ms	(* (* a a) (+ 1.0 a))
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
21.0ms	(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

prune151.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

13.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (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))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series134.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
35.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	255	1564
1	805	1485
2	3767	1387
3	5001	1360

prune343.0ms

Filtered

88 candidates to 121 candidates (-37.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	121	5	126

Merged error: 0.0b

Counts

126 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

20.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

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

series135.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
35.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	134	700
1	306	656
2	1030	632
3	5001	604

prune316.0ms

Filtered

60 candidates to 72 candidates (-20.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
1.1b	(* (pow a 2) (pow b 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

10.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
5.0ms	(+ (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))

series34.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
9.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
6.0ms	(* (pow a 2) (pow b 2))

simplify52.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	382	781
1	1594	688
2	5001	675

prune165.0ms

Filtered

61 candidates to 117 candidates (-91.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	117	5	122

Merged error: 0.0b

Counts

122 → 5

regimes211.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	28
1	31	28

end0.0ms

sample997.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 60.9375%

Guaranteed chance to sample good point: 96.28125%

Results

564.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

sample259.0ms

simplify97.0ms

prune3.0ms

localize19.0ms

rewrite28.0ms

series62.0ms

simplify72.0ms

prune151.0ms

localize21.0ms

rewrite29.0ms

series134.0ms

simplify118.0ms

prune343.0ms

localize29.0ms

rewrite19.0ms

series135.0ms

simplify41.0ms

prune316.0ms

localize13.0ms

rewrite34.0ms

series34.0ms

simplify52.0ms

prune165.0ms

regimes211.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample997.0ms

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