Details

sample14.0ms

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

prune2.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.5b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

85×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
57×	`add-cube-cbrt`
54×	`prod-diff`
52×	`times-frac`
13×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
7×	`associate-/r*`
5×	`div-inv` `add-log-exp`
4×	`flip3-+` `flip-+` `associate-/l*`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 132

Calls

3 calls:

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

series118.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
35.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
64.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	666	2632
1	2625	1869
2	5002	1712

prune165.0ms

Filtered

141 candidates to 76 candidates (53.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	4	142

Merged error: 0b

Counts

142 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.7b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
5.6b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
29×	`times-frac`
26×	`add-cube-cbrt`
22×	`add-exp-log`
18×	`associate-r`
16×	`add-cbrt-cube`
7×	`pow1` `associate-/r*` `distribute-lft-out`
6×	`div-exp` `add-log-exp`
5×	`prod-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l*`
3×	`fma-neg` `associate-l` `prod-diff` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip--` `inv-pow`

Counts

4 → 125

Calls

4 calls:

5.0ms	(/ (* x y) 2.0)
3.0ms	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
6.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
10.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series171.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* x y) 2.0)
34.0ms	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
53.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
64.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify72.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	528	937
1	2575	815
2	5002	764

prune190.0ms

Filtered

137 candidates to 91 candidates (66.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	137	4	141

Merged error: 0b

Counts

141 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.4b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

369×	`times-frac`
332×	`*-un-lft-identity`
255×	`add-sqr-sqrt`
241×	`add-cube-cbrt`
159×	`prod-diff`
43×	`distribute-lft-out`
22×	`add-exp-log` `associate-/r*`
20×	`div-inv`
16×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 331

Calls

4 calls:

5.0ms	(/ (* x y) 2.0)
23.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series168.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* x y) 2.0)
33.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
62.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
50.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify109.0ms

Algorithm

egg-herbie

Counts

343 → 343

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1443	9147
1	5001	6299

prune292.0ms

Filtered

343 candidates to 127 candidates (37.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	343	0	343
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	343	4	347

Merged error: 0b

Counts

347 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b	(/ x (/ 2.0 y))
6.5b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
124×	`times-frac`
102×	`add-sqr-sqrt`
97×	`add-cube-cbrt`
54×	`prod-diff`
17×	`associate-/r*`
13×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/` `div-inv`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 181

Calls

3 calls:

23.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
6.0ms	(/ x (/ 2.0 y))
14.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series119.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
19.0ms	(/ x (/ 2.0 y))
67.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify111.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	871	2998
1	3733	2200
2	5001	2043

prune273.0ms

Filtered

190 candidates to 120 candidates (63.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	190	4	194

Merged error: 0b

Counts

194 → 4

regimes32.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample329.0ms

Algorithm

intervals

Results

206.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid