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

sample70.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
9.0ms	113×	body	80	invalid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	982	17
1	982	17

prune17.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

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))
0.0b	(+ (* x y) (/ (* z t) 16.0))

rewrite27.0ms

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:

11.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
9.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms	(+ (* x y) (/ (* z t) 16.0))

series81.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
24.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
14.0ms	(+ (* x y) (/ (* z t) 16.0))

simplify31.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5024	1042

prune89.0ms

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)))))
1.9b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.9b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.9b	(cbrt (+ (* x y) (* t (/ z 16.0))))

rewrite26.0ms

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))))
5.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
4.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

series163.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (+ (* x y) (* t (/ z 16.0)))) (cbrt (+ (* x y) (* t (/ z 16.0)))))
39.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
37.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
38.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4977	1733
1	4977	1733

prune234.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.9b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.9b	(cbrt (+ (* x y) (* t (/ z 16.0))))
1.9b	(cbrt (+ (* x y) (* t (/ z 16.0))))

rewrite19.0ms

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

series152.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
40.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
37.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))
38.0ms	(cbrt (+ (* x y) (* t (/ z 16.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5301	1000

prune220.0ms

Filtered

56 candidates to 64 candidates (-14.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))
0.3b	(* (sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))) (sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))))
0.3b	(sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0)))))
0.3b	(sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `sum-log`
1×	`+-commutative` `pow2` `associate-+r-` `sub-neg` `associate-+r+` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))
17.0ms	(* (sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))) (sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))))
7.0ms	(sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0)))))
7.0ms	(sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0)))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))
25.0ms	(* (sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))) (sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0))))))
141.0ms	(sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0)))))
141.0ms	(sqrt (+ (* x y) (- (* t (/ z 16.0)) (* b (/ a 4.0)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4973	2590
1	4973	2590

prune166.0ms

Filtered

72 candidates to 113 candidates (-56.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	112	6	118

Merged error: 0b

Counts

118 → 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

474.0ms	8000×	body	80	valid
228.0ms	3950×	body	80	invalid

Details

analyze1.5s

sample70.0ms

simplify83.0ms

prune17.0ms

localize13.0ms

rewrite27.0ms

series81.0ms

simplify31.0ms

prune89.0ms

localize17.0ms

rewrite26.0ms

series163.0ms

simplify53.0ms

prune234.0ms

localize22.0ms

rewrite19.0ms

series152.0ms

simplify38.0ms

prune220.0ms

localize15.0ms

rewrite42.0ms

series331.0ms

simplify45.0ms

prune166.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling