Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	26	5
3	29	5
4	30	5
5	30	5

prune1.0ms

Filtered

1 candidates to 0 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 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* x y) 2.0)
6.9b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
4×	`distribute-lft-out` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

2 → 58

Calls

2 calls:

4.0ms	(/ (* x y) 2.0)
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* x y) 2.0)
63.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify36.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	306	377
1	1339	349
2	5001	342

prune119.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	3	65

Merged error: 0b

Counts

65 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* x y) 2.0)
0.6b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
6.3b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
23×	`add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-r`
15×	`add-cbrt-cube`
7×	`associate-/r*` `distribute-lft-out`
6×	`pow1` `div-exp`
5×	`prod-exp`
4×	`cbrt-undiv` `associate-/r/` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 105

Calls

3 calls:

4.0ms	(/ (* x y) 2.0)
6.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
11.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series131.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
50.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
62.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	453	714
1	2279	628
2	5001	579

prune192.0ms

Filtered

114 candidates to 73 candidates (64.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Merged error: 0b

Counts

117 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
0.2b	(/ (* x y) 2.0)
6.8b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
95×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
21×	`add-exp-log`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`pow-flip` `flip3-+` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `inv-pow`

Counts

3 → 148

Calls

3 calls:

9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
4.0ms	(/ (* x y) 2.0)
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series130.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
19.0ms	(/ (* x y) 2.0)
52.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	545	1294
1	2678	1161
2	5002	1057

prune221.0ms

Filtered

157 candidates to 86 candidates (54.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	157	3	160

Merged error: 0b

Counts

160 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.4b	(/ y (sqrt 2.0))
0.5b	(/ x (sqrt 2.0))
6.9b	(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
93×	`times-frac`
68×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
15×	`associate-/r*`
9×	`associate-/l*` `unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/r/`
1×	`frac-times` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+`

Counts

4 → 188

Calls

4 calls:

16.0ms	(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms	(/ y (sqrt 2.0))
4.0ms	(/ x (sqrt 2.0))
4.0ms	(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
52.0ms	(/ y (sqrt 2.0))
55.0ms	(/ x (sqrt 2.0))
307.0ms	(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	626	1462
1	2914	1357
2	5001	1290

prune415.0ms

Filtered

200 candidates to 136 candidates (68.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	200	3	203

Merged error: 0b

Counts

203 → 3

regimes28.0ms

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	16	6
1	16	6

end0.0ms

sample324.0ms

Algorithm

intervals

Results

199.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid