Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	53×	body	640	valid
5.0ms	144×	body	80	valid
3.0ms	20×	body	1280	valid
3.0ms	27×	body	320	valid
1.0ms	12×	body	160	valid

simplify19.0ms

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: 7.9b

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)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
1.9b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite143.0ms

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

series319.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (- x 1.0))
42.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
25.0ms	(/ 1.0 (+ x 1.0))
220.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify163.0ms

Algorithm

egg-herbie

Counts

630 → 630

Iterations

Useful iterations: 2 (79.0ms)

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

prune1.2s

Filtered

630 candidates to 390 candidates (61.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	629	1	630
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	629	2	631

Merged error: 0.0b

Counts

631 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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

series263.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(fma 2.0 (/ 1 (pow x 5)) (/ 2.0 (pow x 3)))
46.0ms	(/ 1 (pow x 5))
35.0ms	(/ 2.0 (pow x 3))
58.0ms	(/ 1 (pow x 7))

simplify54.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	450	904
1	2278	777
2	5001	777

prune351.0ms

Filtered

199 candidates to 96 candidates (48.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	196	5	201

Merged error: 0b

Counts

201 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (pow x 5))
0.1b	(/ 1 (pow x 7))
0.1b	(/ (/ 2.0 (* x x)) x)
0.6b	(/ 2.0 (* x x))

rewrite26.0ms

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 5))
5.0ms	(/ 1 (pow x 7))
7.0ms	(/ (/ 2.0 (* x x)) x)
4.0ms	(/ 2.0 (* x x))

series162.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ 1 (pow x 5))
57.0ms	(/ 1 (pow x 7))
35.0ms	(/ (/ 2.0 (* x x)) x)
29.0ms	(/ 2.0 (* x x))

simplify62.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (44.0ms)

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

prune357.0ms

Filtered

195 candidates to 105 candidates (53.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	196	4	200

Merged error: 0b

Counts

200 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (pow x 5))
0.1b	(/ 1 (pow x 7))
0.1b	(/ (/ (/ 2.0 x) x) x)
0.1b	(/ (/ 2.0 x) x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
262×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
62×	`associate-/l*`
36×	`add-exp-log`
24×	`unpow-prod-down` `div-inv`
22×	`add-cbrt-cube`
21×	`div-exp`
20×	`associate-/r*`
11×	`cbrt-undiv`
8×	`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` `associate-/l/` `inv-pow`

Counts

4 → 376

Calls

4 calls:

5.0ms	(/ 1 (pow x 5))
5.0ms	(/ 1 (pow x 7))
13.0ms	(/ (/ (/ 2.0 x) x) x)
6.0ms	(/ (/ 2.0 x) x)

series170.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ 1 (pow x 5))
58.0ms	(/ 1 (pow x 7))
34.0ms	(/ (/ (/ 2.0 x) x) x)
31.0ms	(/ (/ 2.0 x) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

388 → 388

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1195	2820
1	5002	2549

prune905.0ms

Filtered

388 candidates to 225 candidates (58.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	388	0	388
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	388	4	392

Merged error: 0b

Counts

392 → 4

regimes56.0ms

Accuracy

94.4% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 9.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	29
1	35	29

end0.0ms

sample728.0ms

Algorithm

intervals

Results

267.0ms	1954×	body	640	valid
155.0ms	4139×	body	80	valid
93.0ms	927×	body	320	valid
87.0ms	511×	body	1280	valid
32.0ms	473×	body	160	valid