Details

sample17.0ms

Algorithm

intervals

Results

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

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	32	12
1	172	11
2	974	9
3	5001	8

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 16.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
15.6b	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-*l/` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `frac-2neg` `times-frac` `fma-neg` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l` `difference-of-squares`

Counts

2 → 48

Calls

2 calls:

7.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
14.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
78.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	390	550
1	1886	402
2	5001	398

prune88.0ms

Filtered

54 candidates to 35 candidates (64.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Merged error: 0b

Counts

55 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.1b	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
15.0b	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-exp-log` `add-cbrt-cube`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `difference-of-squares`
7×	`associate-r`
5×	`pow1` `add-log-exp`
4×	`associate-/r*` `associate-/r/` `unswap-sqr`
3×	`expm1-log1p-u` `flip3--` `prod-diff` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*`
1×	`frac-times` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 109

Calls

3 calls:

7.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
18.0ms	(* (/ 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))

series205.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
75.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
77.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	594	1142
1	2820	976
2	5001	959

prune206.0ms

Filtered

118 candidates to 89 candidates (75.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0b

Counts

121 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
0.3b	(/ 1 (pow i 4))
0.5b	(/ 1 (pow i 2))

rewrite25.0ms

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))
8.0ms	(/ 1 (pow i 4))
9.0ms	(/ 1 (pow i 2))

series93.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
38.0ms	(/ 1 (pow i 4))
26.0ms	(/ 1 (pow i 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (28.0ms)

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

prune192.0ms

Filtered

133 candidates to 57 candidates (42.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Merged error: 0b

Counts

136 → 3

regimes17.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch42.0ms

Steps

Iters	Range		Point
8	1.568820734519886	7054.225323655249	219.3525729463774

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample381.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
61.0ms	8000×	pre	80	true