Details

sample231.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 60.975638%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

16.0ms

256×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

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:

0.1b	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 1.0)
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (+ 3.0 a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 1.0)
5.0ms	(* (* a a) (- 1.0 a))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(* (* b b) (+ 3.0 a))

simplify69.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	535	760
1	2586	685
2	5003	681

prune164.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (+ 3.0 a))
0.7b	(* (* b b) (+ 3.0 a))
0.7b	(* (* b b) (+ 3.0 a))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
15×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `associate-r`
9×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
4×	`add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

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

series39.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (+ (* a a) (* b b)) 2.0)
5.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(* (* b b) (+ 3.0 a))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	288	511
1	1309	443
2	5002	439

prune317.0ms

Filtered

63 candidates to 101 candidates (-60.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (+ 3.0 a))
8.6b	(cbrt (+ (* a a) (* b b)))
8.6b	(cbrt (+ (* a a) (* b b)))
8.6b	(cbrt (+ (* a a) (* b b)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
5.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* b b) (+ 3.0 a))
21.0ms	(cbrt (+ (* a a) (* b b)))
22.0ms	(cbrt (+ (* a a) (* b b)))
22.0ms	(cbrt (+ (* a a) (* b b)))

simplify42.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	297	538
1	1333	496
2	5002	475

prune303.0ms

Filtered

58 candidates to 75 candidates (-29.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	75	9	84

Merged error: 0.0b

Counts

84 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (+ 3.0 a))
8.6b	(cbrt (+ (* a a) (* b b)))
8.6b	(cbrt (+ (* a a) (* b b)))
8.6b	(cbrt (+ (* a a) (* b b)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
3.0ms	(cbrt (+ (* a a) (* b b)))
3.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* b b) (+ 3.0 a))
24.0ms	(cbrt (+ (* a a) (* b b)))
22.0ms	(cbrt (+ (* a a) (* b b)))
21.0ms	(cbrt (+ (* a a) (* b b)))

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	297	538
1	1333	496
2	5002	475

prune132.0ms

Filtered

58 candidates to 75 candidates (-29.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	75	9	84

Merged error: 0.0b

Counts

84 → 9

regimes349.0ms

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	25	14
1	25	14

end0.0ms

sample865.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 60.975638%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

520.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

sample231.0ms

simplify74.0ms

prune3.0ms

localize16.0ms

rewrite35.0ms

series58.0ms

simplify69.0ms

prune164.0ms

localize27.0ms

rewrite32.0ms

series39.0ms

simplify45.0ms

prune317.0ms

localize36.0ms

rewrite23.0ms

series70.0ms

simplify42.0ms

prune303.0ms

localize23.0ms

rewrite20.0ms

series72.0ms

simplify41.0ms

prune132.0ms

regimes349.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample865.0ms

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