Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample5.0s (85.2%)

Results

2.5s	4142×	body	1024	valid
943.0ms	2072×	body	512	valid
511.0ms	433×	body	2048	valid
476.0ms	1006×	body	256	valid
94.0ms	603×	body	128	valid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify459.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

7982×	`fma-neg_binary64`
642×	`unsub-neg_binary64`
573×	`distribute-neg-in_binary64`
572×	`distribute-rgt-in_binary64`
535×	`distribute-rgt-out--_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	13
2	28	13
3	43	13
4	67	13
5	95	13
6	136	13
7	234	13
8	429	13
9	636	13
10	827	13
11	918	13
12	1093	13
13	1183	13
14	1272	13
15	1630	13
16	2135	13
17	2217	13
18	2418	13
19	2438	13
20	2558	13
21	2558	13
22	2954	13
23	3004	13
24	3130	13
25	3162	13
26	3210	13
27	3230	13
28	3238	13
29	3238	13
30	3238	13
31	3574	13
32	3558	13
33	3856	13
34	4014	13
35	4100	13
36	4126	13
37	4142	13
38	4154	13
39	4190	13
40	4202	13
41	4206	13
42	4206	13
43	11004	13

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 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 39 to 31 computations (20.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (neg.f64 x))
✓	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

series6.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
2.0ms	(log1p.f64 (neg.f64 x))

rewrite87.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

874×	`log1p-udef_binary64`
484×	`expm1-log1p-u_binary64`
482×	`log1p-expm1-u_binary64`
391×	`prod-diff_binary64`
300×	`unpow-prod-down_binary64`

Counts

2 → 125

Calls

2 calls:

84.0ms	(log1p.f64 (neg.f64 x))
84.0ms	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	130	11
2	1224	11
3	4990	11
4	6467	11
0	0	0
1	0	0

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-neg_binary64`
401×	`cancel-sign-sub-inv_binary64`
362×	`associate-l_binary64`
329×	`sub-neg_binary64`
290×	`fma-def_binary64`

Counts

149 → 171

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	390
1	240	376
2	679	376
3	1977	374
4	4072	374
5	4837	374
6	4971	374

prune67.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	2	172

Error

Counts

172 → 2

Alt Table

Status	Error	Program
▶	0.5b	(.f64 1/2 (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 2778 to 1482 computations (46.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

series3.0ms (0%)

Counts

1 → 0

Calls

1 calls:

3.0ms

(*.f64 2/3 (pow.f64 x 3))

rewrite72.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

880×	`log1p-udef_binary64`
476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`
319×	`unpow-prod-down_binary64`
235×	`log-prod_binary64`

Counts

1 → 18

Calls

1 calls:

72.0ms

(*.f64 2/3 (pow.f64 x 3))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1262	7
3	4849	7
4	6205	7
0	0	0
1	0	0

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune12.0ms (0.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	18	2	20

Error

Counts

20 → 2

Alt Table

Status	Error	Program
✓	0.5b	(.f64 1/2 (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 261 to 219 computations (16.1% saved)

regimes26.0ms (0.4%)

Accuracy

Total 0.0b remaining (58.6%)

Threshold costs 0.0b (58.6%)

Counts

6 → 1

Compiler

Compiled 300 to 242 computations (19.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	20	13
3	23	13
4	24	13
5	24	13

end42.0ms (0.7%)

Compiler: Compiled 38 to 30 computations (21.1% saved)

Details

analyze5.0ms (0.1%)

sample5.0s (85.2%)

simplify459.0ms (7.8%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series6.0ms (0.1%)

rewrite87.0ms (1.5%)

simplify72.0ms (1.2%)

prune67.0ms (1.1%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite72.0ms (1.2%)

simplify5.0ms (0.1%)

prune12.0ms (0.2%)

regimes26.0ms (0.4%)

simplify2.0ms (0%)

end42.0ms (0.7%)

Profiling