Details

sample555.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 60.9375%

Guaranteed chance to sample good point: 96.28125%

Results

16.0ms

256×

body

valid

simplify68.0ms

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

localize17.0ms

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
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` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
5.0ms	(* (* a a) (- 1.0 a))
20.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(* (* b b) (+ 3.0 a))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	549	670
1	2714	602
2	5001	598

prune143.0ms

Filtered

63 candidates to 93 candidates (-47.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (+ 3.0 a))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(* (* b b) (+ 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))

series104.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* b b) (+ 3.0 a))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	292	649
1	1183	595
2	5002	577

prune220.0ms

Filtered

64 candidates to 81 candidates (-26.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	80	6	86

Merged error: 0.0b

Counts

86 → 6

localize34.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt (+ (* a a) (* b b)))
16.8b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

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

series120.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (+ (* a a) (* b b)))
32.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
35.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	304	750
1	811	696
2	2484	672
3	5002	644

prune243.0ms

Filtered

58 candidates to 68 candidates (-17.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	66	8	74

Merged error: 0.0b

Counts

74 → 8

localize35.0ms

Local error

Found 4 expressions with local error:

14.5b	(pow (+ (* a a) (* b b)) 1/3)
16.8b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp`

Counts

4 → 61

Calls

4 calls:

4.0ms	(pow (+ (* a a) (* b b)) 1/3)
6.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* 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))

series119.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(pow (+ (* a a) (* b b)) 1/3)
34.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* 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))

simplify114.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	287	742
1	855	682
2	3444	650
3	5002	628

prune236.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

regimes332.0ms

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

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 60.9375%

Guaranteed chance to sample good point: 96.28125%

Results

503.0ms	8000×	body	80	valid
0.0ms	7×	body	80	invalid

Details

sample555.0ms

simplify68.0ms

prune3.0ms

localize17.0ms

rewrite28.0ms

series58.0ms

simplify68.0ms

prune143.0ms

localize19.0ms

rewrite21.0ms

series104.0ms

simplify39.0ms

prune220.0ms

localize34.0ms

rewrite17.0ms

series120.0ms

simplify74.0ms

prune243.0ms

localize35.0ms

rewrite19.0ms

series119.0ms

simplify114.0ms

prune236.0ms

regimes332.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling