Details

analyze755.0ms

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

sample209.0ms

Algorithm

intervals

Results

115.0ms	87×	body	1280	valid
50.0ms	62×	body	640	valid
14.0ms	25×	body	320	valid
14.0ms	71×	body	80	valid
4.0ms	11×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5094	50

prune17.0ms

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

localize36.0ms

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 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.3b	(- (cos x) (cos y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

11.0ms	(/ (+ 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 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series267.0ms

Counts

4 → 10

Calls

4 calls:

246.0ms	(/ (+ 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 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify55.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4961	2512
1	4961	2512

prune423.0ms

Filtered

71 candidates to 94 candidates (-32.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	82	12	94
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

localize32.0ms

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) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0))))
1.0b	(- 3.0 (sqrt 5.0))
2.3b	(- (cos x) (cos y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`flip3--` `flip--`
12×	`associate-r/` `associate-l*`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`frac-times` `add-cube-cbrt` `sub-neg` `add-log-exp`
7×	`associate-r` `difference-of-squares`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `sqrt-prod` `cbrt-unprod` `distribute-lft-out--`
2×	`times-frac` `diff-log` `*-commutative`
1×	`diff-cos` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

16.0ms	(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
20.0ms	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0))))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series50.0ms

Counts

4 → 10

Calls

4 calls:

18.0ms	(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
22.0ms	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify51.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4968	1873
1	4968	1873

prune367.0ms

Filtered

76 candidates to 105 candidates (-38.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	106	11	117

Merged error: 0.0b

Counts

117 → 11

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
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 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.3b	(- (cos x) (cos y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

17.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
14.0ms	(/ (+ 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 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series291.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
245.0ms	(/ (+ 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 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4970	3393
1	4970	3393

prune448.0ms

Filtered

84 candidates to 113 candidates (-34.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	114	10	124

Merged error: 0.0b

Counts

124 → 10

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) (* (- (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 (+ 3.0 (sqrt 5.0))))))
2.3b	(- (cos x) (cos y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-r/`
13×	`flip3--` `flip--`
12×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`frac-times` `add-cube-cbrt` `add-log-exp`
7×	`sub-neg` `associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `difference-of-squares`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
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 → 93

Calls

4 calls:

16.0ms	(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
18.0ms	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0))))
13.0ms	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- (* 3.0 3.0) 5.0) (* 2.0 (+ 3.0 (sqrt 5.0))))))
5.0ms	(- (cos x) (cos y))

series79.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
26.0ms	(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0))))
25.0ms	(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- (* 3.0 3.0) 5.0) (* 2.0 (+ 3.0 (sqrt 5.0))))))
9.0ms	(- (cos x) (cos y))

simplify55.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5104	2234

prune332.0ms

Filtered

77 candidates to 105 candidates (-36.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

regimes211.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	196	56
1	196	56

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.6s	2776×	body	1280	valid
1.5s	1792×	body	640	valid
492.0ms	802×	body	320	valid
427.0ms	2277×	body	80	valid
138.0ms	353×	body	160	valid

Details

analyze755.0ms

sample209.0ms

simplify35.0ms

prune17.0ms

localize36.0ms

rewrite34.0ms

series267.0ms

simplify55.0ms

prune423.0ms

localize32.0ms

rewrite47.0ms

series50.0ms

simplify51.0ms

prune367.0ms

localize35.0ms

rewrite49.0ms

series291.0ms

simplify63.0ms

prune448.0ms

localize37.0ms

rewrite56.0ms

series79.0ms

simplify55.0ms

prune332.0ms

regimes211.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample6.3s

Profiling