Details

sample17.0ms

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 (29.0ms)

Iter	Nodes	Cost
0	32	12
1	172	11
2	974	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

localize12.0ms

Local error

Found 1 expressions with local error:

15.6b

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

rewrite16.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `flip3--` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

14.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	319	406
1	1586	285
2	5001	285

prune42.0ms

Filtered

32 candidates to 19 candidates (59.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
0.3b	(/ 1 (pow i 4))
0.7b	(/ 1 (pow i 2))

rewrite14.0ms

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×	`sqr-pow`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
4×	`unpow2`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `div-inv` `inv-pow`
1×	`fma-udef`

Counts

3 → 124

Calls

3 calls:

1.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
5.0ms	(/ 1 (pow i 4))
5.0ms	(/ 1 (pow i 2))

series75.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
26.0ms	(/ 1 (pow i 4))
15.0ms	(/ 1 (pow i 2))

simplify38.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	300	623
1	1163	535
2	5001	459

prune165.0ms

Filtered

133 candidates to 57 candidates (42.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	133	3	136

Merged error: 0b

Counts

136 → 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)))

rewrite88.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 226

Calls

3 calls:

8.0ms	(* (* i i) (* i i))
32.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
26.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (* i i) (* i i))
78.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
24.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify145.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	950	2892
1	4695	1679
2	5001	1652

prune166.0ms

Filtered

235 candidates to 77 candidates (32.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	235	3	238

Merged error: 0b

Counts

238 → 3

regimes35.0ms

Accuracy

100% (0.0b remaining)

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

bsearch40.0ms

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	29	14
1	29	14

end0.0ms

sample376.0ms

Algorithm

intervals

Results

213.0ms	8000×	body	80	valid
64.0ms	8000×	pre	80	true