Details

analyze742.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

sample198.0ms

Algorithm

intervals

Results

105.0ms	85×	body	1280	valid
40.0ms	49×	body	640	valid
24.0ms	36×	body	320	valid
13.0ms	76×	body	80	valid
4.0ms	10×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	4955	50
1	4955	50

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.4b

Counts

2 → 2

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
0.5b	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.4b	(- (cos x) (cos y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*r/`
29×	`flip3--` `flip--`
28×	`frac-times`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
10×	`sub-neg` `*-un-lft-identity` `add-log-exp`
8×	`associate-*l/`
6×	`add-cube-cbrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sqrt-prod`
3×	`difference-of-squares`
2×	`diff-log` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-r` `frac-add` `sum-log` `*-commutative` `flip-+` `diff-cos`

Counts

4 → 98

Calls

4 calls:

27.0ms	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
10.0ms	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0)))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series76.0ms

Counts

4 → 10

Calls

4 calls:

36.0ms	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
26.0ms	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0)))
0.0ms	(- 3.0 (sqrt 5.0))
14.0ms	(- (cos x) (cos y))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4997	2617
1	4997	2617

prune383.0ms

Filtered

82 candidates to 108 candidates (-31.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	97	11	108
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	98	12	110

Merged error: 0.2b

Counts

110 → 12

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ 2.0 (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))) (* 3.0 (+ 1.0 (+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0))))))
0.4b	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
0.5b	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
2.4b	(- (cos x) (cos y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
28×	`frac-times` `flip3--` `flip--`
18×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
10×	`*-un-lft-identity`
9×	`sub-neg`
8×	`add-cube-cbrt` `associate-*l/` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `pow-prod-down`
4×	`times-frac` `associate-/l*`
3×	`flip3-+` `sqrt-prod` `flip-+`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `diff-log` `associate-r` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 111

Calls

4 calls:

19.0ms	(/ (+ 2.0 (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))) (* 3.0 (+ 1.0 (+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0))))))
28.0ms	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
11.0ms	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
5.0ms	(- (cos x) (cos y))

series322.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(/ (+ 2.0 (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))) (* 3.0 (+ 1.0 (+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0))))))
40.0ms	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
24.0ms	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
9.0ms	(- (cos x) (cos y))

simplify58.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5530	4506

prune523.0ms

Filtered

94 candidates to 123 candidates (-30.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	112	11	123
Fresh	10	1	11
Picked	1	0	1
Done	0	0	0
Total	123	12	135

Merged error: 0.0b

Counts

135 → 12

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (* (- (cos x) (cos y)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))
0.5b	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- (* 3.0 3.0) 5.0) (* 2.0 (+ (sqrt 5.0) 3.0)))))
2.4b	(- (cos x) (cos y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
34×	`flip3--` `flip--`
32×	`frac-times`
22×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
11×	`sub-neg`
10×	`associate-*l/`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`difference-of-squares`
3×	`sqrt-prod` `distribute-lft-out--`
2×	`times-frac` `*-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `frac-add` `sum-log` `flip-+` `diff-cos` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

18.0ms	(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
29.0ms	(* (sqrt 2.0) (* (- (cos x) (cos y)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))
10.0ms	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- (* 3.0 3.0) 5.0) (* 2.0 (+ (sqrt 5.0) 3.0)))))
5.0ms	(- (cos x) (cos y))

series135.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
66.0ms	(* (sqrt 2.0) (* (- (cos x) (cos y)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))
41.0ms	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- (* 3.0 3.0) 5.0) (* 2.0 (+ (sqrt 5.0) 3.0)))))
11.0ms	(- (cos x) (cos y))

simplify42.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4999	3345
1	4999	3345

prune468.0ms

Filtered

98 candidates to 130 candidates (-32.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	130	12	142

Merged error: 0.0b

Counts

142 → 12

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
2.4b	(- (cos x) (cos y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
5.0ms	(- (cos x) (cos y))

series9.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
9.0ms	(- (cos x) (cos y))

simplify20.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	4987	464
1	4987	464

prune192.0ms

Filtered

44 candidates to 53 candidates (-20.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	53	12	65

Merged error: 0.0b

Counts

65 → 12

regimes367.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	109	66
1	109	66

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.5s	2747×	body	1280	valid
1.6s	1829×	body	640	valid
629.0ms	2336×	body	80	valid
427.0ms	724×	body	320	valid
144.0ms	364×	body	160	valid

Details

analyze742.0ms

sample198.0ms

simplify19.0ms

prune15.0ms

localize37.0ms

rewrite51.0ms

series76.0ms

simplify50.0ms

prune383.0ms

localize37.0ms

rewrite67.0ms

series322.0ms

simplify58.0ms

prune523.0ms

localize37.0ms

rewrite67.0ms

series135.0ms

simplify42.0ms

prune468.0ms

localize44.0ms

rewrite9.0ms

series9.0ms

simplify20.0ms

prune192.0ms

regimes367.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.5s

Profiling