Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

292×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	4

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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:

0.0b	(+ (/ x 2.0) (* y x))
0.0b	(+ (+ (/ x 2.0) (* y x)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (/ x 2.0) (* y x))
8.0ms	(+ (+ (/ x 2.0) (* y x)) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (/ x 2.0) (* y x))
6.0ms	(+ (+ (/ x 2.0) (* y x)) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	163	180
1	542	168
2	1917	162
3	5001	160

prune38.0ms

Filtered

31 candidates to 22 candidates (29.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) z)
0.0b	(sqrt (+ (/ x 2.0) (* y x)))
0.0b	(sqrt (+ (/ x 2.0) (* y x)))
0.3b	(* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

15.0ms	(+ (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) z)
5.0ms	(sqrt (+ (/ x 2.0) (* y x)))
8.0ms	(sqrt (+ (/ x 2.0) (* y x)))
15.0ms	(* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) z)
8.0ms	(sqrt (+ (/ x 2.0) (* y x)))
8.0ms	(sqrt (+ (/ x 2.0) (* y x)))
6.0ms	(* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	883
1	1089	784
2	5002	749

prune131.0ms

Filtered

110 candidates to 66 candidates (40.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ (/ x 2.0) (* y x))))
0.0b	(sqrt (sqrt (+ (/ x 2.0) (* y x))))
0.2b	(* (pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3) (sqrt (sqrt (+ (/ x 2.0) (* y x)))))
0.3b	(pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
36×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 163

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ (/ x 2.0) (* y x))))
6.0ms	(sqrt (sqrt (+ (/ x 2.0) (* y x))))
22.0ms	(* (pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3) (sqrt (sqrt (+ (/ x 2.0) (* y x)))))
8.0ms	(pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3)

series66.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (sqrt (+ (/ x 2.0) (* y x))))
15.0ms	(sqrt (sqrt (+ (/ x 2.0) (* y x))))
6.0ms	(* (pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3) (sqrt (sqrt (+ (/ x 2.0) (* y x)))))
29.0ms	(pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3)

simplify88.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	552	2079
1	2387	1833
2	5001	1648

prune314.0ms

Filtered

175 candidates to 89 candidates (49.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	175	3	178

Merged error: 0.0b

Counts

178 → 3

regimes250.0ms

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	4
1	11	4

end0.0ms

sample538.0ms

Algorithm

intervals

Results

241.0ms	9145×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample20.0ms

simplify6.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify54.0ms

prune38.0ms

localize9.0ms

rewrite46.0ms

series29.0ms

simplify48.0ms

prune131.0ms

localize12.0ms

rewrite49.0ms

series66.0ms

simplify88.0ms

prune314.0ms

regimes250.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample538.0ms

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