Details

analyze49.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	25	5
3	26	5
4	26	5

prune2.0ms

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))))
7.9b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`times-frac`
14×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `div-inv` `difference-of-squares`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--`

Counts

3 → 69

Calls

3 calls:

4.0ms	(/ (* x y) 2.0)
9.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (* x y) 2.0)
7.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
13.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	358	510
1	1495	479
2	5001	473

prune102.0ms

Filtered

57 candidates to 78 candidates (-36.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Merged error: 0b

Counts

79 → 4

localize12.0ms

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)))
0.3b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.8b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube` `distribute-lft-out`
10×	`div-exp`
8×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 161

Calls

4 calls:

4.0ms	(/ (* x y) 2.0)
17.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
14.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* x y) 2.0)
7.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
10.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	610	1496
1	2877	1271
2	5003	1268

prune139.0ms

Filtered

91 candidates to 173 candidates (-90.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	173	4	177

Merged error: 0b

Counts

177 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
8.1b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
8.1b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
8.1b	(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
27×	`cbrt-prod` `associate-r`
23×	`add-cube-cbrt`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1` `distribute-lft-out`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 125

Calls

4 calls:

28.0ms	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
4.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

series131.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
41.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
40.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
40.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	724	2243
1	3292	1969
2	5001	1791

prune332.0ms

Filtered

94 candidates to 137 candidates (-45.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	137	4	141

Merged error: 0b

Counts

141 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.1b	(pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)
7.9b	(/ y (+ 1.0 (/ (* x y) 2.0)))
38.5b	(cbrt (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
63×	`times-frac`
49×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
14×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
7×	`associate-/r*`
6×	`div-inv`
5×	`pow1` `flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
3×	`pow-unpow`
2×	`cube-div` `cube-mult` `frac-2neg` `unpow3` `pow-exp` `clear-num` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `prod-exp` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 162

Calls

4 calls:

4.0ms	(/ (* x y) 2.0)
8.0ms	(pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
9.0ms	(cbrt (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3))

series56.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* x y) 2.0)
25.0ms	(pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)
12.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
16.0ms	(cbrt (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3))

simplify87.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	666	1444
1	3272	1335
2	5001	1321

prune168.0ms

Filtered

90 candidates to 174 candidates (-93.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	174	4	178

Merged error: 0b

Counts

178 → 4

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

analyze49.0ms

Algorithm: search

sample390.0ms

Algorithm

intervals

Results

263.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid

Details

analyze49.0ms

sample15.0ms

simplify6.0ms

prune2.0ms

localize7.0ms

rewrite20.0ms

series23.0ms

simplify38.0ms

prune102.0ms

localize12.0ms

rewrite50.0ms

series27.0ms

simplify67.0ms

prune139.0ms

localize12.0ms

rewrite46.0ms

series131.0ms

simplify85.0ms

prune332.0ms

localize13.0ms

rewrite32.0ms

series56.0ms

simplify87.0ms

prune168.0ms

regimes122.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze49.0ms

sample390.0ms

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