Details

analyze70.0ms

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	255	7
1	255	7

prune5.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x y) (* x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 13

Calls

1 calls:

6.0ms

(- (+ x y) (* x y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(- (+ x y) (* x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5299	164

prune19.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

3.3b	(* x (* x (* y y)))
8.2b	(- (* (+ x y) (+ x y)) (* x (* x (* y y))))
9.7b	(* x (* y y))
26.9b	(/ (- (* (+ x y) (+ x y)) (* x (* x (* y y)))) (+ x (+ y (* x y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`times-frac`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
4×	`associate-/r*` `distribute-lft-out`
3×	`associate-/l*`
2×	`flip3--` `associate-r` `associate--l+` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

7.0ms	(* x (* x (* y y)))
10.0ms	(- (* (+ x y) (+ x y)) (* x (* x (* y y))))
6.0ms	(* x (* y y))
16.0ms	(/ (- (* (+ x y) (+ x y)) (* x (* x (* y y)))) (+ x (+ y (* x y))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (* x (* y y)))
11.0ms	(- (* (+ x y) (+ x y)) (* x (* x (* y y))))
7.0ms	(* x (* y y))
18.0ms	(/ (- (* (+ x y) (+ x y)) (* x (* x (* y y)))) (+ x (+ y (* x y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4993	1769
1	4993	1769

prune78.0ms

Filtered

65 candidates to 101 candidates (-55.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	101	2	103

Merged error: 0.0b

Counts

103 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

2.3b	(* y (- (+ x y) (* y (* x x))))
3.1b	(+ (* (+ x y) x) (* y (- (+ x y) (* y (* x x)))))
7.8b	(* y (* x x))
26.9b	(/ (+ (* (+ x y) x) (* y (- (+ x y) (* y (* x x))))) (+ x (+ y (* x y))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

9.0ms	(* y (- (+ x y) (* y (* x x))))
11.0ms	(+ (* (+ x y) x) (* y (- (+ x y) (* y (* x x)))))
6.0ms	(* y (* x x))
18.0ms	(/ (+ (* (+ x y) x) (* y (- (+ x y) (* y (* x x))))) (+ x (+ y (* x y))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* y (- (+ x y) (* y (* x x))))
11.0ms	(+ (* (+ x y) x) (* y (- (+ x y) (* y (* x x)))))
7.0ms	(* y (* x x))
16.0ms	(/ (+ (* (+ x y) x) (* y (- (+ x y) (* y (* x x))))) (+ x (+ y (* x y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5004	2428

prune104.0ms

Filtered

89 candidates to 113 candidates (-27.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0.0b

Counts

115 → 2

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms

sample290.0ms

Algorithm

intervals

Results

168.0ms	7999×	body	80	valid
1.0ms	73×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze70.0ms

sample12.0ms

simplify10.0ms

prune5.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify40.0ms

prune19.0ms

localize13.0ms

rewrite41.0ms

series42.0ms

simplify45.0ms

prune78.0ms

localize13.0ms

rewrite47.0ms

series43.0ms

simplify60.0ms

prune104.0ms

regimes94.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample290.0ms

Profiling