Details

sample905.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.279297%

Guaranteed chance to sample good point: 81.074573%

Results

10.0ms	256×	body	80	valid
8.0ms	205×	body	80	invalid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune4.0ms

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: 4.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.3b	(* (* y 4.0) (- (* z z) t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

4.0ms	(- (* z z) t)
6.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))

series37.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (* z z) t)
20.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms	(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	385
1	1348	342
2	5001	337

prune75.0ms

Filtered

41 candidates to 63 candidates (-53.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	4	64

Merged error: 2.0b

Counts

64 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
0.0b	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
7.0b	(* (* y 4.0) (* z z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

8.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
7.0ms	(* (* y 4.0) (* z z))

series42.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
14.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
7.0ms	(* (* y 4.0) (* z z))

simplify51.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	314	491
1	1440	398
2	5001	390

prune73.0ms

Filtered

38 candidates to 62 candidates (-63.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
0.0b	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
0.2b	(* (* (* y 4.0) z) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `distribute-rgt-neg-out`
3×	`associate-r`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

7.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
7.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
6.0ms	(* (* (* y 4.0) z) z)

series41.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
14.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
7.0ms	(* (* (* y 4.0) z) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	323	488
1	1585	427
2	5001	382

prune71.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Merged error: 0.0b

Counts

64 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* y 4.0) z) z)
0.2b	(* (* (* y 4.0) z) z)
2.3b	(sqrt (- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))))
2.3b	(sqrt (- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
6×	`associate-r`
4×	`sqrt-div` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `flip--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

7.0ms	(* (* (* y 4.0) z) z)
6.0ms	(* (* (* y 4.0) z) z)
7.0ms	(sqrt (- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))))
7.0ms	(sqrt (- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* (* y 4.0) z) z)
7.0ms	(* (* (* y 4.0) z) z)
36.0ms	(sqrt (- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))))
38.0ms	(sqrt (- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	261	740
1	1138	666
2	5001	664

prune123.0ms

Filtered

54 candidates to 86 candidates (-59.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

regimes423.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	24	9
2	31	9
3	31	9

end0.0ms

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.279297%

Guaranteed chance to sample good point: 81.074573%

Results

321.0ms	8000×	body	80	valid
241.0ms	6165×	body	80	invalid

Details

sample905.0ms

simplify73.0ms

prune4.0ms

localize8.0ms

rewrite19.0ms

series37.0ms

simplify42.0ms

prune75.0ms

localize13.0ms

rewrite24.0ms

series42.0ms

simplify51.0ms

prune73.0ms

localize10.0ms

rewrite22.0ms

series41.0ms

simplify56.0ms

prune71.0ms

localize13.0ms

rewrite30.0ms

series88.0ms

simplify43.0ms

prune123.0ms

regimes423.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling