Details

sample712.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.687988%

Guaranteed chance to sample good point: 87.231203%

Results

6.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify358.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

8.0ms

(* (+ x y) z)

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(* (+ x y) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune41.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Merged error: 0.0b

Counts

25 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (* y y) (* x y))
2.4b	(+ (pow x 3) (pow y 3))
5.8b	(* (+ (pow x 3) (pow y 3)) z)
35.1b	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `distribute-lft-out`
9×	`associate-l`
8×	`add-cube-cbrt` `unpow-prod-down` `cube-prod` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `associate-*l/` `flip-+`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

3.0ms	(- (* y y) (* x y))
10.0ms	(+ (pow x 3) (pow y 3))
13.0ms	(* (+ (pow x 3) (pow y 3)) z)
18.0ms	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y y) (* x y))
7.0ms	(+ (pow x 3) (pow y 3))
12.0ms	(* (+ (pow x 3) (pow y 3)) z)
22.0ms	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	355	687
1	1749	583
2	5001	577

prune123.0ms

Filtered

61 candidates to 93 candidates (-52.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

10.6b	(/ (+ (pow x 3) (pow y 3)) (sqrt (+ (* x x) (- (* y y) (* x y)))))
24.4b	(sqrt (+ (* x x) (- (* y y) (* x y))))
24.4b	(sqrt (+ (* x x) (- (* y y) (* x y))))
28.9b	(* (/ (+ (pow x 3) (pow y 3)) (sqrt (+ (* x x) (- (* y y) (* x y))))) (/ z (sqrt (+ (* x x) (- (* y y) (* x y))))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

201×	`*-un-lft-identity`
138×	`times-frac`
103×	`add-sqr-sqrt`
78×	`sqrt-prod`
71×	`add-cube-cbrt`
65×	`distribute-lft-out`
60×	`associate-l`
52×	`unpow-prod-down` `cube-prod`
24×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
13×	`sum-cubes`
10×	`sqrt-div`
9×	`associate-/l*` `unswap-sqr`
8×	`pow1`
6×	`flip3-+` `associate-/r*` `associate-/r/` `flip-+`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 228

Calls

4 calls:

21.0ms	(/ (+ (pow x 3) (pow y 3)) (sqrt (+ (* x x) (- (* y y) (* x y)))))
5.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))
5.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))
47.0ms	(* (/ (+ (pow x 3) (pow y 3)) (sqrt (+ (* x x) (- (* y y) (* x y))))) (/ z (sqrt (+ (* x x) (- (* y y) (* x y))))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (+ (pow x 3) (pow y 3)) (sqrt (+ (* x x) (- (* y y) (* x y)))))
10.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))
10.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))
21.0ms	(* (/ (+ (pow x 3) (pow y 3)) (sqrt (+ (* x x) (- (* y y) (* x y))))) (/ z (sqrt (+ (* x x) (- (* y y) (* x y))))))

simplify97.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	647	4286
1	2971	3874
2	5001	3770

prune254.0ms

Filtered

132 candidates to 240 candidates (-81.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	240	2	242

Merged error: 0b

Counts

242 → 2

regimes200.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample896.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.687988%

Guaranteed chance to sample good point: 87.231203%

Results

166.0ms	8000×	body	80	valid
6.0ms	311×	body	80	invalid

Details

sample712.0ms

simplify358.0ms

prune4.0ms

localize6.0ms

rewrite9.0ms

series13.0ms

simplify38.0ms

prune41.0ms

localize15.0ms

rewrite50.0ms

series46.0ms

simplify57.0ms

prune123.0ms

localize18.0ms

rewrite90.0ms

series54.0ms

simplify97.0ms

prune254.0ms

regimes200.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample896.0ms

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