Details

analyze52.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample29.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify181.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	2641	11
1	2641	11

prune8.0ms

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: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
8.1b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 47

Calls

2 calls:

10.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
12.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4936	797
1	4936	797

prune86.0ms

Filtered

42 candidates to 53 candidates (-26.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0b

Counts

55 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
0.0b	(+ (/ x 2.0) (/ 1.0 y))
0.1b	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
25×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
7×	`add-log-exp`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
3×	`pow1` `flip3-+` `associate-/r/` `flip-+` `associate-/l*`
2×	`+-commutative` `frac-add` `sum-log`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 64

Calls

3 calls:

37.0ms	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
22.0ms	(+ (/ x 2.0) (/ 1.0 y))
25.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
9.0ms	(+ (/ x 2.0) (/ 1.0 y))
17.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5077	944

prune86.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* y (/ x 2.0)))
3.5b	(/ y (- (* 1.0 1.0) (* y (/ (* x (* y (/ x 2.0))) 2.0))))
3.7b	(* y (/ (* x (* y (/ x 2.0))) 2.0))
16.4b	(* (/ y (- (* 1.0 1.0) (* y (/ (* x (* y (/ x 2.0))) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log` `add-cbrt-cube`
33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac`
21×	`associate-l`
17×	`prod-exp` `cbrt-unprod`
13×	`pow1` `associate-r`
8×	`cbrt-undiv` `div-exp`
5×	`associate-*r/` `pow-prod-down`
4×	`flip3--` `associate-/r/` `flip--` `add-log-exp`
3×	`associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`
2×	`frac-times` `sub-neg`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `clear-num` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

6.0ms	(* x (* y (/ x 2.0)))
6.0ms	(/ y (- (* 1.0 1.0) (* y (/ (* x (* y (/ x 2.0))) 2.0))))
10.0ms	(* y (/ (* x (* y (/ x 2.0))) 2.0))
14.0ms	(* (/ y (- (* 1.0 1.0) (* y (/ (* x (* y (/ x 2.0))) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (* y (/ x 2.0)))
14.0ms	(/ y (- (* 1.0 1.0) (* y (/ (* x (* y (/ x 2.0))) 2.0))))
7.0ms	(* y (/ (* x (* y (/ x 2.0))) 2.0))
28.0ms	(* (/ y (- (* 1.0 1.0) (* y (/ (* x (* y (/ x 2.0))) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5228	2232

prune190.0ms

Filtered

101 candidates to 135 candidates (-33.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	135	3	138

Merged error: 0b

Counts

138 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3))))
0.1b	(pow (+ (/ x 2.0) (/ 1.0 y)) 3)
0.4b	(/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3))
40.3b	(cbrt (/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

160×	`*-un-lft-identity`
128×	`times-frac`
62×	`add-sqr-sqrt` `add-cube-cbrt`
55×	`cbrt-prod`
40×	`unpow-prod-down` `cube-prod`
33×	`distribute-lft-out`
16×	`associate-/r*`
10×	`add-exp-log`
9×	`cube-div`
8×	`cube-mult` `unpow3` `sqr-pow`
7×	`add-cbrt-cube`
6×	`associate-/r/` `add-log-exp`
5×	`pow1`
4×	`flip3-+` `flip-+`
3×	`pow-unpow` `div-exp` `frac-add` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cube-cbrt`

Counts

4 → 190

Calls

4 calls:

27.0ms	(+ x (cbrt (/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3))))
13.0ms	(pow (+ (/ x 2.0) (/ 1.0 y)) 3)
18.0ms	(/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3))
16.0ms	(cbrt (/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ x (cbrt (/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3))))
9.0ms	(pow (+ (/ x 2.0) (/ 1.0 y)) 3)
14.0ms	(/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3))
21.0ms	(cbrt (/ -1 (pow (+ (/ x 2.0) (/ 1.0 y)) 3)))

simplify58.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5072	3444

prune245.0ms

Filtered

100 candidates to 202 candidates (-102.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	202	3	205

Merged error: 0b

Counts

205 → 3

regimes69.0ms

Accuracy

0% (0.0b 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 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample397.0ms

Algorithm

intervals

Results

266.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

Details

analyze52.0ms

sample29.0ms

simplify181.0ms

prune8.0ms

localize7.0ms

rewrite17.0ms

series20.0ms

simplify44.0ms

prune86.0ms

localize14.0ms

rewrite88.0ms

series37.0ms

simplify44.0ms

prune86.0ms

localize14.0ms

rewrite40.0ms

series53.0ms

simplify42.0ms

prune190.0ms

localize11.0ms

rewrite82.0ms

series55.0ms

simplify58.0ms

prune245.0ms

regimes69.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample397.0ms

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