Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample22.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5211	15

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* i (* 2.0 2.0)) (/ 1.0 i))
0.1b	(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

7.0ms	(- (* i (* 2.0 2.0)) (/ 1.0 i))
12.0ms	(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (* i (* 2.0 2.0)) (/ 1.0 i))
6.0ms	(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4944	639
1	4944	639

prune60.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 4.0 (pow i 6))
0.0b	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(* 4.0 (pow i 6))
4.0ms	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* 4.0 (pow i 6))
11.0ms	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify38.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4832	382
1	4832	382

prune62.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

45 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.1b	(* (* i i) (* i i))
16.1b	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
39.9b	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

303×	`add-exp-log` `add-cbrt-cube`
168×	`prod-exp` `cbrt-unprod`
115×	`pow1`
76×	`cbrt-undiv` `div-exp`
36×	`pow-prod-up`
26×	`times-frac`
23×	`pow-prod-down`
22×	`add-sqr-sqrt` `pow-sqr`
18×	`pow-plus`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow2`
7×	`div-inv` `difference-of-squares`
6×	`associate-/l*` `add-log-exp`
5×	`associate-/r*`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `diff-log` `swap-sqr` `associate-r` `associate-l` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 232

Calls

4 calls:

6.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
8.0ms	(* (* i i) (* i i))
31.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
22.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
3.0ms	(* (* i i) (* i i))
5.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
3.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify68.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4952	2645
1	4952	2645

prune148.0ms

Filtered

81 candidates to 244 candidates (-201.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	244	3	247

Merged error: 0b

Counts

247 → 3

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	13	15

end0.0ms

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample594.0ms

Algorithm

intervals

Results

410.0ms	8000×	body	80	valid
84.0ms	8000×	pre	80	true

Details

analyze6.0ms

sample22.0ms

simplify64.0ms

prune8.0ms

localize9.0ms

rewrite20.0ms

series16.0ms

simplify50.0ms

prune60.0ms

localize13.0ms

rewrite11.0ms

series15.0ms

simplify38.0ms

prune62.0ms

localize10.0ms

rewrite84.0ms

series17.0ms

simplify68.0ms

prune148.0ms

regimes55.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze5.0ms

sample594.0ms

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