Details

sample34.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 50%

Space saved by search: 50%

Guaranteed chance to sample good point: 99.993896%

Results

17.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	31	12
1	168	11
2	965	9
3	5001	8

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 16.8b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

16.3b

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
2×	`associate-*l/` `associate-/r/`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

13.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	311	392
1	1550	273
2	5001	273

prune34.0ms

Filtered

17 candidates to 30 candidates (-76.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
15.7b	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
31×	`times-frac`
25×	`add-exp-log` `add-cbrt-cube`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r` `difference-of-squares`
4×	`pow1` `associate-/r*` `associate-/r/` `unswap-sqr`
3×	`div-inv` `associate-/l*`
2×	`flip3--` `flip--` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 86

Calls

2 calls:

16.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
9.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
5.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	530	978
1	2493	842
2	5001	833

prune116.0ms

Filtered

69 candidates to 92 candidates (-33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.3b	(/ 1 (pow i 4))
0.5b	(/ 1 (pow i 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`add-exp-log`
15×	`associate-/r*`
12×	`div-exp`
8×	`add-log-exp` `sqr-pow`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
4×	`frac-add` `unpow2`
3×	`pow1` `flip3-+` `sum-log` `flip-+`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `div-inv` `inv-pow`
1×	`+-commutative` `associate-+r+`

Counts

3 → 127

Calls

3 calls:

13.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
5.0ms	(/ 1 (pow i 4))
5.0ms	(/ 1 (pow i 2))

series9.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
3.0ms	(/ 1 (pow i 4))
3.0ms	(/ 1 (pow i 2))

simplify66.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	474	797
1	2042	702
2	5001	626

prune125.0ms

Filtered

57 candidates to 136 candidates (-138.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Merged error: 0b

Counts

139 → 3

regimes31.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.6b

bsearch26.0ms

Steps

Iters	Range		Point
8	0.08705244600834655	939.8870967504325	218.75349773103844

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample653.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 50%

Space saved by search: 50%

Guaranteed chance to sample good point: 99.993896%

Results

412.0ms	8000×	body	80	valid
90.0ms	8000×	pre	80	true

Details

sample34.0ms

simplify34.0ms

prune6.0ms

localize8.0ms

rewrite15.0ms

series6.0ms

simplify42.0ms

prune34.0ms

localize8.0ms

rewrite28.0ms

series11.0ms

simplify65.0ms

prune116.0ms

localize11.0ms

rewrite27.0ms

series9.0ms

simplify66.0ms

prune125.0ms

regimes31.0ms

bsearch26.0ms

simplify1.0ms

end0.0ms

sample653.0ms

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