Details

analyze44.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample910.0ms (36.5%)

Results

795.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify73.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
457×	`times-frac_binary64`
316×	`div-sub_binary64`
141×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	71	12
4	152	12
5	207	12
6	597	10
7	937	10
8	1314	10
9	1337	10
10	1342	10
11	1369	10
12	1379	10
13	1379	10
14	1274	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

rewrite130.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`expm1-log1p-u_binary64`
758×	`prod-diff_binary64`
77×	`add-sqr-sqrt_binary64`
74×	`log1p-expm1-u_binary64`
72×	`add-log-exp_binary64`

Counts

1 → 36

Calls

1 calls:

129.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	143	10
2	2146	10
3	5253	10

simplify52.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-neg_binary64`
821×	`associate-/l*_binary64`
515×	`associate-/r*_binary64`
386×	`associate-/r/_binary64`
251×	`cancel-sign-sub-inv_binary64`

Counts

60 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	426
1	110	393
2	368	342
3	1432	324
4	4696	324
5	5368	324

prune48.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Error

Counts

51 → 3

Alt Table

Status	Error	Program
▶	1.8b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
	32.7b	(fma.f64 2 (/.f64 f n) 1)
	30.8b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 728 to 308 computations (57.7% saved)

localize51.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.1b	(exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	1.6b	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series52.0ms (2.1%)

Counts

3 → 72

Calls

3 calls:

21.0ms	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
19.0ms	(exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
12.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite83.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log-prod_binary64`
392×	`fma-def_binary64`
207×	`fma-neg_binary64`
183×	`log1p-udef_binary64`
182×	`expm1-udef_binary64`

Counts

3 → 157

Calls

3 calls:

80.0ms	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
80.0ms	(exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
80.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	204	35
2	2817	35
3	5484	35

simplify78.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

581×	`times-frac_binary64`
482×	`fma-def_binary64`
438×	`associate-+l+_binary64`
405×	`associate-/l*_binary64`
348×	`fma-neg_binary64`

Counts

229 → 226

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	2265
1	351	1884
2	1160	1485
3	4349	1473
4	5003	1473

prune181.0ms (7.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	276	3	279

Error

Counts

279 → 3

Alt Table

Status	Error	Program
✓	1.8b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
	32.7b	(fma.f64 2 (/.f64 f n) 1)
▶	30.8b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 5495 to 2741 computations (50.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
✓	0.2b	(pow.f64 (/.f64 n f) 3)
✓	8.0b	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))

series46.0ms (1.8%)

Counts

3 → 72

Calls

3 calls:

21.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
13.0ms	(pow.f64 (/.f64 n f) 3)
11.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

rewrite78.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`fma-def_binary64`
267×	`fma-neg_binary64`
190×	`egg-rr`
190×	`log1p-udef_binary64`
189×	`expm1-udef_binary64`

Counts

3 → 190

Calls

3 calls:

74.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
74.0ms	(pow.f64 (/.f64 n f) 3)
74.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	226	40
2	2933	40
3	4928	40

simplify119.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-def_binary64`
497×	`unswap-sqr_binary64`
490×	`sqr-pow_binary64`
349×	`times-frac_binary64`
268×	`*-commutative_binary64`

Counts

262 → 199

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	1062
1	39	1062
2	89	831
3	335	807
4	1708	765
5	3301	765
6	3725	765
7	3959	765
8	4269	765
9	4821	765
10	4991	765

prune130.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	199	3	202

Error

Counts

202 → 3

Alt Table

Status	Error	Program
✓	1.8b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
▶	32.7b	(fma.f64 2 (/.f64 f n) 1)
✓	30.8b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 4830 to 2496 computations (48.3% saved)

localize4.0ms (0.2%)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	1.8b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
✓	32.7b	(fma.f64 2 (/.f64 f n) 1)
✓	30.8b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes339.0ms (13.6%)

Accuracy

Total -0.1b remaining (-332.7%)

Threshold costs -0.1b (-332.7%)

Counts

103 → 1

Compiler

Compiled 4255 to 2917 computations (31.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	13	10
2	17	10
3	19	10
4	20	10
5	19	10

end51.0ms (2%)

Compiler: Compiled 59 to 37 computations (37.3% saved)

Details

analyze44.0ms (1.8%)

sample910.0ms (36.5%)

simplify73.0ms (2.9%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite130.0ms (5.2%)

simplify52.0ms (2.1%)

prune48.0ms (1.9%)

localize51.0ms (2%)

series52.0ms (2.1%)

rewrite83.0ms (3.3%)

simplify78.0ms (3.1%)

prune181.0ms (7.3%)

localize8.0ms (0.3%)

series46.0ms (1.8%)

rewrite78.0ms (3.1%)

simplify119.0ms (4.8%)

prune130.0ms (5.2%)

localize4.0ms (0.2%)

prune3.0ms (0.1%)

regimes339.0ms (13.6%)

simplify2.0ms (0.1%)

end51.0ms (2%)

Profiling