Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample50.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	122×	body	80	invalid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	982	17
1	982	17

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
6×	`sum-log`
5×	`add-sqr-sqrt`
4×	`diff-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sub-neg` `associate-+l+` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `flip--` `difference-of-squares`

Counts

3 → 46

Calls

3 calls:

6.0ms	(+ (* x y) (/ (* z t) 16.0))
12.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
10.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series82.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (* x y) (/ (* z t) 16.0))
46.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
24.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify33.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5024	1042

prune93.0ms

Filtered

45 candidates to 55 candidates (-22.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* t (/ z 16.0)))) (cbrt (+ (* x y) (* t (/ z 16.0)))))
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (+ (* x y) (* t (/ z 16.0)))) (cbrt (+ (* x y) (* t (/ z 16.0)))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

series170.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (+ (* x y) (* t (/ z 16.0)))) (cbrt (+ (* x y) (* t (/ z 16.0)))))
40.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
39.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
40.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4977	1733
1	4977	1733

prune222.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (cbrt (cbrt (+ (* x y) (* t (/ z 16.0))))) 5)
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

6.0ms	(pow (cbrt (cbrt (+ (* x y) (* t (/ z 16.0))))) 5)
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

series204.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(pow (cbrt (cbrt (+ (* x y) (* t (/ z 16.0))))) 5)
37.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
37.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
39.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4898	1222
1	4898	1222

prune241.0ms

Filtered

62 candidates to 75 candidates (-21.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.1b	(cbrt (+ (* x y) (* t (/ z 16.0))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
40.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
38.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
40.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

simplify39.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5301	1000

prune450.0ms

Filtered

56 candidates to 64 candidates (-14.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

regimes1.5s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

471.0ms	8000×	body	80	valid
231.0ms	3871×	body	80	invalid

Details

analyze1.5s

sample50.0ms

simplify54.0ms

prune10.0ms

localize12.0ms

rewrite29.0ms

series82.0ms

simplify33.0ms

prune93.0ms

localize17.0ms

rewrite25.0ms

series170.0ms

simplify50.0ms

prune222.0ms

localize20.0ms

rewrite19.0ms

series204.0ms

simplify55.0ms

prune241.0ms

localize24.0ms

rewrite16.0ms

series156.0ms

simplify39.0ms

prune450.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling