Details

analyze115.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 43.804918%

Guaranteed chance to sample good point: 96.896701%

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune8.0ms

Filtered

1 candidates to 1 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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
4.0ms	(+ (* x 2.0) (* x x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify98.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune43.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

4.0ms	(+ (* y y) (* x (+ 2.0 x)))
6.0ms	(* x (+ 2.0 x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* y y) (* x (+ 2.0 x)))
5.0ms	(* x (+ 2.0 x))

simplify34.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5002	169

prune47.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 2.0 x))
0.0b	(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
0.1b	(* x (+ (pow 2.0 3) (pow x 3)))
12.0b	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

3.0ms	(- (* x x) (* 2.0 x))
10.0ms	(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
15.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
22.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* x x) (* 2.0 x))
29.0ms	(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
9.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
14.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify72.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	471	800
1	2465	703
2	5003	696

prune153.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.6b	(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
29.4b	(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
17×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`add-cube-cbrt`
12×	`times-frac`
9×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-log-exp`
6×	`distribute-lft-out`
5×	`associate-r`
4×	`frac-times` `associate-+l+` `distribute-neg-in` `associate-l` `pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`neg-sub0` `associate-+l-` `pow-plus` `associate-l/` `sum-log` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `flip3--` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `neg-log` `clear-num` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

6.0ms	(* x (+ 2.0 x))
12.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
9.0ms	(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
13.0ms	(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* x (+ 2.0 x))
7.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
13.0ms	(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
17.0ms	(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

simplify88.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	525	1318
1	2965	1157
2	5001	1141

prune171.0ms

Filtered

80 candidates to 135 candidates (-68.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	135	3	138

Merged error: 0b

Counts

138 → 3

regimes190.0ms

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

analyze112.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 43.804918%

Guaranteed chance to sample good point: 96.896701%

sample358.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze115.0ms

sample18.0ms

simplify7.0ms

prune8.0ms

localize7.0ms

rewrite10.0ms

series12.0ms

simplify98.0ms

prune43.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify34.0ms

prune47.0ms

localize17.0ms

rewrite53.0ms

series58.0ms

simplify72.0ms

prune153.0ms

localize14.0ms

rewrite44.0ms

series42.0ms

simplify88.0ms

prune171.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze112.0ms

sample358.0ms

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