Details

sample40.0ms

Algorithm

intervals

Results

18.0ms	393×	body	80	valid
5.0ms	132×	body	80	nan

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	24	7
1	53	5
2	106	5
3	269	5
4	904	5
5	3967	5
6	5001	5

prune9.0ms

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: 2.4b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k 10.0 1.0)
0.1b	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
0.3b	(fma k k (fma k 10.0 1.0))
3.6b	(/ (fma k k (fma k 10.0 1.0)) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
98×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`unpow-prod-down`
19×	`add-exp-log` `associate-/r*`
14×	`sqr-pow`
13×	`associate-/l*`
11×	`add-cbrt-cube`
10×	`div-exp` `div-inv`
9×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-to-exp` `pow-exp` `fma-udef`

Counts

4 → 189

Calls

4 calls:

1.0ms	(fma k 10.0 1.0)
9.0ms	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
1.0ms	(fma k k (fma k 10.0 1.0))
4.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

series247.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma k 10.0 1.0)
126.0ms	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
34.0ms	(fma k k (fma k 10.0 1.0))
52.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

simplify120.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	720	1961
1	3302	1893
2	5001	1891

prune499.0ms

Filtered

201 candidates to 156 candidates (22.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	196	5	201
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	198	5	203

Merged error: 0.0b

Counts

203 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow k m) (/ a (fma k k (fma k 10.0 1.0))))
0.0b	(fma k 10.0 1.0)
0.3b	(fma k k (fma k 10.0 1.0))
3.6b	(/ a (fma k k (fma k 10.0 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`times-frac`
19×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
9×	`associate-*r/`
7×	`associate-l` `associate-/l*`
6×	`pow1` `prod-exp` `associate-/r*` `unswap-sqr`
5×	`unpow-prod-down`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `sqr-pow`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `un-div-inv` `cbrt-unprod` `fma-udef` `div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 105

Calls

4 calls:

10.0ms	(* (pow k m) (/ a (fma k k (fma k 10.0 1.0))))
1.0ms	(fma k 10.0 1.0)
1.0ms	(fma k k (fma k 10.0 1.0))
7.0ms	(/ a (fma k k (fma k 10.0 1.0)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (pow k m) (/ a (fma k k (fma k 10.0 1.0))))
35.0ms	(fma k 10.0 1.0)
25.0ms	(fma k k (fma k 10.0 1.0))
76.0ms	(/ a (fma k k (fma k 10.0 1.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	436	744
1	1883	685
2	5001	676

prune267.0ms

Filtered

117 candidates to 88 candidates (24.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	117	5	122

Merged error: 0.0b

Counts

122 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k 10.0 1.0)
0.3b	(fma k k (fma k 10.0 1.0))
0.6b	(/ 1 (fma k k (fma k 10.0 1.0)))
3.1b	(* a (/ 1 (fma k k (fma k 10.0 1.0))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
9×	`associate-*r/`
7×	`pow1` `associate-/l*`
6×	`associate-/r*`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `clear-num` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 101

Calls

4 calls:

1.0ms	(fma k 10.0 1.0)
1.0ms	(fma k k (fma k 10.0 1.0))
3.0ms	(/ 1 (fma k k (fma k 10.0 1.0)))
9.0ms	(* a (/ 1 (fma k k (fma k 10.0 1.0))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma k 10.0 1.0)
25.0ms	(fma k k (fma k 10.0 1.0))
52.0ms	(/ 1 (fma k k (fma k 10.0 1.0)))
79.0ms	(* a (/ 1 (fma k k (fma k 10.0 1.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	308	563
1	1301	488
2	5001	450

prune226.0ms

Filtered

113 candidates to 73 candidates (35.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k 10.0 1.0)
0.1b	(/ (pow k m) (* (fma k k (fma k 10.0 1.0)) (/ 1 a)))
0.3b	(fma k k (fma k 10.0 1.0))
3.6b	(* (fma k k (fma k 10.0 1.0)) (/ 1 a))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

267×	`times-frac`
201×	`add-sqr-sqrt`
149×	`*-un-lft-identity`
138×	`add-cube-cbrt`
117×	`associate-r`
75×	`unpow-prod-down`
53×	`add-exp-log`
30×	`associate-/r*`
27×	`associate-l` `unswap-sqr`
25×	`sqr-pow`
23×	`div-exp`
18×	`associate-*r/` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-/l*`
12×	`associate-/r/`
10×	`div-inv`
9×	`*-commutative`
6×	`pow1` `un-div-inv`
5×	`cbrt-undiv` `pow-to-exp` `pow-exp` `clear-num`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg`
2×	`fma-udef`
1×	`pow-prod-down`

Counts

4 → 309

Calls

4 calls:

1.0ms	(fma k 10.0 1.0)
18.0ms	(/ (pow k m) (* (fma k k (fma k 10.0 1.0)) (/ 1 a)))
1.0ms	(fma k k (fma k 10.0 1.0))
15.0ms	(* (fma k k (fma k 10.0 1.0)) (/ 1 a))

series252.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma k 10.0 1.0)
125.0ms	(/ (pow k m) (* (fma k k (fma k 10.0 1.0)) (/ 1 a)))
25.0ms	(fma k k (fma k 10.0 1.0))
59.0ms	(* (fma k k (fma k 10.0 1.0)) (/ 1 a))

simplify72.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1080	3276
1	5001	2977

prune607.0ms

Filtered

321 candidates to 196 candidates (38.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	320	1	321
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	321	5	326

Merged error: 0.0b

Counts

326 → 5

regimes97.0ms

Accuracy

98.5% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.2b

bsearch39.0ms

Steps

Iters	Range		Point
5	1.4742432742640378e+62	3.637078954097819e+62	1.7959784034305904e+62

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	32
1	49	32
2	49	32

end0.0ms

sample1.1s

Algorithm

intervals

Results

561.0ms	11958×	body	80	valid
163.0ms	4214×	body	80	nan