Details

sample39.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 61.064556%

Results

8.0ms	255×	body	80	valid
0.0ms	1×	body	160	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	(+ 1.0 (/ (* x y) 2.0))
9.5b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

5.0ms	(/ (* x y) 2.0)
8.0ms	(+ 1.0 (/ (* x y) 2.0))
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (* x y) 2.0)
5.0ms	(+ 1.0 (/ (* x y) 2.0))
12.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	319	440
1	1354	406
2	5001	402

prune96.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

2.3b	(/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
9.8b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.8b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.8b	(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

16.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (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)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
51.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
47.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
47.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	568	1204
1	1865	1068
2	5001	1020

prune219.0ms

Filtered

67 candidates to 83 candidates (-23.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0.0b

Counts

86 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
4.1b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.1b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
85×	`times-frac`
80×	`*-un-lft-identity`
59×	`sqrt-prod`
50×	`add-cube-cbrt`
28×	`add-exp-log`
27×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`distribute-lft-out`
10×	`sqrt-div`
9×	`div-exp`
8×	`pow1` `prod-exp`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 170

Calls

4 calls:

7.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
28.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
4.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
11.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
15.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
17.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	706	2241
1	3434	1989
2	5001	1856

prune266.0ms

Filtered

111 candidates to 182 candidates (-64.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	182	3	185

Merged error: 0.0b

Counts

185 → 3

regimes110.0ms

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

sample493.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 61.064556%

Results

267.0ms	7994×	body	80	valid
1.0ms	3×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample39.0ms

simplify6.0ms

prune2.0ms

localize7.0ms

rewrite22.0ms

series22.0ms

simplify37.0ms

prune96.0ms

localize16.0ms

rewrite32.0ms

series213.0ms

simplify52.0ms

prune219.0ms

localize10.0ms

rewrite51.0ms

series129.0ms

simplify86.0ms

prune266.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample493.0ms

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