Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (28.0ms)

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

prune6.0ms

Filtered

1 candidates to 1 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: 16.1b

Counts

2 → 2

localize11.0ms

Local error

Found 1 expressions with local error:

15.6b

(/ (* 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:

14.0ms

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

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (9.0ms)

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

prune39.0ms

Filtered

30 candidates to 17 candidates (56.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize15.0ms

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))
0.7b	(/ 1 (pow i 2))

rewrite29.0ms

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:

14.0ms	(+ (* 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))

series81.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
30.0ms	(/ 1 (pow i 4))
17.0ms	(/ 1 (pow i 2))

simplify61.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	474	821
1	2042	726
2	5001	650

prune154.0ms

Filtered

136 candidates to 57 candidates (41.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

139 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* i i) (* i i))
15.6b	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
45.5b	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 220

Calls

3 calls:

9.0ms	(* (* i i) (* i i))
35.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
27.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (* i i) (* i i))
79.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
25.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify132.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	933	2850
1	4639	1641
2	5001	1612

prune149.0ms

Filtered

229 candidates to 71 candidates (31.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	229	3	232

Merged error: 0b

Counts

232 → 3

regimes34.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.0b

bsearch47.0ms

Steps

Iters	Range		Point
9	1941.7031403815959	228712080.98701906	2205.1788338000024

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample388.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
66.0ms	8000×	pre	80	true