Details

sample24.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (29.0ms)

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: 15.1b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

14.6b

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

rewrite19.0ms

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:

18.0ms

(/ (* 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)))

simplify39.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (8.0ms)

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

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
13.5b	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 75

Calls

2 calls:

11.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
12.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
9.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify59.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	443	962
1	2261	814
2	5001	808

prune90.0ms

Filtered

59 candidates to 81 candidates (-37.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.1b	(/ 1 (pow i 4))
0.2b	(* 0.015625 (/ 1 (pow i 2)))
0.5b	(/ 1 (pow i 2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac`
71×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
53×	`add-cube-cbrt`
42×	`add-exp-log`
35×	`unpow-prod-down`
28×	`associate-r`
18×	`div-exp`
15×	`associate-/r*`
13×	`add-cbrt-cube` `sqr-pow`
10×	`prod-exp`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `unpow2` `add-log-exp` `unswap-sqr`
6×	`pow1` `associate-/l*`
4×	`frac-add`
3×	`cbrt-undiv` `flip3-+` `associate-r/` `associate-l*` `sum-log` `un-div-inv` `flip-+` `div-inv`
2×	`pow-flip` `frac-2neg` `clear-num` `cbrt-unprod` `inv-pow`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `*-commutative`

Counts

4 → 190

Calls

4 calls:

12.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
4.0ms	(/ 1 (pow i 4))
11.0ms	(* 0.015625 (/ 1 (pow i 2)))
5.0ms	(/ 1 (pow i 2))

series12.0ms

Counts

4 → 12

Calls

4 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	(* 0.015625 (/ 1 (pow i 2)))
2.0ms	(/ 1 (pow i 2))

simplify75.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	636	1101
1	2826	926
2	5002	818

prune205.0ms

Filtered

94 candidates to 202 candidates (-114.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	202	3	205

Merged error: 0b

Counts

205 → 3

regimes33.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.7b

bsearch16.0ms

Steps

Iters	Range		Point
8	49.27853394366224	45428.06669594923	261.32109662186014

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample610.0ms

Algorithm

intervals

Results

395.0ms	8000×	body	80	valid
82.0ms	8000×	pre	80	true

Details

sample24.0ms

simplify30.0ms

prune6.0ms

localize8.0ms

rewrite19.0ms

series6.0ms

simplify39.0ms

prune34.0ms

localize11.0ms

rewrite27.0ms

series15.0ms

simplify59.0ms

prune90.0ms

localize11.0ms

rewrite42.0ms

series12.0ms

simplify75.0ms

prune205.0ms

regimes33.0ms

bsearch16.0ms

simplify1.0ms

end0.0ms

sample610.0ms

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