Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	61×	body	640	valid
5.0ms	131×	body	80	valid
3.0ms	35×	body	320	valid
3.0ms	20×	body	1280	valid
1.0ms	9×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

prune2.0ms

Filtered

1 candidates to 0 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: 10.7b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.5b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

725×	`*-un-lft-identity`
703×	`times-frac`
524×	`add-sqr-sqrt`
492×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
95×	`distribute-lft-out`
65×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg`
17×	`distribute-lft-out--`
12×	`difference-of-squares`
11×	`add-log-exp`
10×	`fma-def`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub`
1×	`+-commutative` `associate-+l-`

Counts

4 → 618

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
26.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
50.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1.0 (- x 1.0))
24.0ms	(/ 1.0 (+ x 1.0))
40.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
215.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify164.0ms

Algorithm

egg-herbie

Counts

630 → 630

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	1156	10955
1	3607	8288
2	5001	7670

prune1.2s

Filtered

630 candidates to 390 candidates (61.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	626	4	630
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	626	5	631

Merged error: 0.3b

Counts

631 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (/ 1 (pow x 7)) (fma 2.0 (/ 1 (pow x 5)) (/ 2.0 (pow x 3))))
0.1b	(/ 1 (pow x 7))
0.2b	(/ 1 (pow x 5))
0.3b	(/ 2.0 (pow x 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`unpow-prod-down`
27×	`add-exp-log`
26×	`associate-/r*`
15×	`div-exp`
12×	`cube-prod` `sqr-pow`
10×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`pow-to-exp` `pow-exp`
6×	`rec-exp` `1-exp`
4×	`pow1` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
2×	`pow-flip` `inv-pow`
1×	`fma-udef`

Counts

4 → 187

Calls

4 calls:

1.0ms	(fma 2.0 (/ 1 (pow x 7)) (fma 2.0 (/ 1 (pow x 5)) (/ 2.0 (pow x 3))))
5.0ms	(/ 1 (pow x 7))
5.0ms	(/ 1 (pow x 5))
5.0ms	(/ 2.0 (pow x 3))

series194.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma 2.0 (/ 1 (pow x 7)) (fma 2.0 (/ 1 (pow x 5)) (/ 2.0 (pow x 3))))
50.0ms	(/ 1 (pow x 7))
45.0ms	(/ 1 (pow x 5))
35.0ms	(/ 2.0 (pow x 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	460	949
1	2326	816
2	5001	816

prune354.0ms

Filtered

199 candidates to 96 candidates (48.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	196	8	204

Merged error: 0.0b

Counts

204 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (/ 1 (pow x 5)) (/ (/ 2.0 x) (* x x)))
0.1b	(/ 1 (pow x 7))
0.1b	(/ (/ 2.0 x) (* x x))
0.2b	(/ 1 (pow x 5))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

73×	`times-frac`
50×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log`
24×	`unpow-prod-down`
20×	`add-cbrt-cube`
19×	`associate-/l*`
18×	`div-exp`
15×	`associate-/r*`
8×	`cbrt-undiv` `sqr-pow`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `prod-exp` `cbrt-unprod` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 168

Calls

4 calls:

1.0ms	(fma 2.0 (/ 1 (pow x 5)) (/ (/ 2.0 x) (* x x)))
5.0ms	(/ 1 (pow x 7))
7.0ms	(/ (/ 2.0 x) (* x x))
5.0ms	(/ 1 (pow x 5))

series254.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(fma 2.0 (/ 1 (pow x 5)) (/ (/ 2.0 x) (* x x)))
57.0ms	(/ 1 (pow x 7))
35.0ms	(/ (/ 2.0 x) (* x x))
47.0ms	(/ 1 (pow x 5))

simplify57.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	520	883
1	2161	783
2	5002	721

prune314.0ms

Filtered

180 candidates to 94 candidates (52.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	180	8	188

Merged error: 0.0b

Counts

188 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (pow x 7))
0.1b	(/ (/ 2.0 (* x x)) x)
0.2b	(/ 1 (pow x 5))
1.1b	(/ 2.0 (* x x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`add-exp-log`
24×	`unpow-prod-down`
22×	`add-cbrt-cube`
19×	`div-exp`
18×	`associate-/r*`
16×	`associate-/l*`
9×	`cbrt-undiv`
8×	`div-inv` `sqr-pow`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `prod-exp` `cbrt-unprod` `inv-pow`
1×	`associate-/l/`

Counts

4 → 183

Calls

4 calls:

5.0ms	(/ 1 (pow x 7))
6.0ms	(/ (/ 2.0 (* x x)) x)
8.0ms	(/ 1 (pow x 5))
5.0ms	(/ 2.0 (* x x))

series160.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (pow x 7))
34.0ms	(/ (/ 2.0 (* x x)) x)
46.0ms	(/ 1 (pow x 5))
24.0ms	(/ 2.0 (* x x))

simplify66.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	511	914
1	2528	828
2	5001	768

prune341.0ms

Filtered

195 candidates to 106 candidates (54.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	195	8	203

Merged error: 0.0b

Counts

203 → 8

regimes92.0ms

Accuracy

95.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 9.9b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	30
1	34	30

end0.0ms

sample742.0ms

Algorithm

intervals

Results

265.0ms	1880×	body	640	valid
152.0ms	4168×	body	80	valid
99.0ms	570×	body	1280	valid
94.0ms	909×	body	320	valid
33.0ms	474×	body	160	valid