Details

analyze6.0ms (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)

sample578.0ms (12.8%)

Algorithm

1×

intervals

Results

56.0ms	129×	body	1024	valid
15.0ms	60×	body	512	valid
9.0ms	16×	body	2048	valid
5.0ms	35×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify471.0ms (10.4%)

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 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

4.0ms

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`prod-diff_binary64`
9×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`

Counts

1 → 33

Calls

1 calls:

3.0ms

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

simplify111.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

424×	`unsub-neg_binary64`
332×	`unswap-sqr_binary64`
325×	`times-frac_binary64`
317×	`sqr-pow_binary64`
315×	`distribute-rgt-in_binary64`

Counts

45 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	900
1	223	663
2	571	600
3	1725	600
4	3147	600
5	4384	600
6	4805	600
7	4516	600
8	4840	600

prune32.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	2	64

Error

Counts

64 → 2

Alt Table

Status	Error	Program
	0.3b	(.f64 1/2 (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))))
▶	0.0b	(*.f64 1/2 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))

Compiler

Compiled 1213 to 565 computations (53.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	0.0b	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

series9.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

6.0ms	(log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
4.0ms	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

1.0ms	(log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
0.0ms	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

690×	`times-frac_binary64`
418×	`unswap-sqr_binary64`
334×	`fma-def_binary64`
309×	`associate-/r*_binary64`
258×	`fma-neg_binary64`

Counts

46 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	859
1	325	806
2	946	798
3	3147	786
4	4908	786
5	4946	786

prune68.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Error

Counts

139 → 2

Alt Table

Status	Error	Program
▶	0.3b	(.f64 1/2 (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))))
✓	0.0b	(*.f64 1/2 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))

Compiler

Compiled 2626 to 1542 computations (41.3% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

series7.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

4.0ms	(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
3.0ms	(*.f64 2/3 (pow.f64 x 3))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 43

Calls

2 calls:

5.0ms	(*.f64 2/3 (pow.f64 x 3))
0.0ms	(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-def_binary64`
538×	`associate-l_binary64`
503×	`associate-r_binary64`
314×	`associate-+l+_binary64`
305×	`associate-+r+_binary64`

Counts

55 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	877
1	167	786
2	451	774
3	2358	774
4	5013	774

prune57.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	2	66

Error

Counts

66 → 2

Alt Table

Status	Error	Program
✓	0.3b	(.f64 1/2 (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))))
✓	0.0b	(*.f64 1/2 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))

Compiler

Compiled 1589 to 1269 computations (20.1% saved)

regimes37.0ms (0.8%)

Accuracy

Total 0.0b remaining (35%)

Threshold costs 0.0b (35%)

Counts

9 → 1

Compiler

Compiled 600 to 458 computations (23.7% saved)

simplify3.0ms (0.1%)

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	10	17
1	17	17
2	22	17
3	25	17
4	26	17
5	26	17

end0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample3.0s (65.8%)

Algorithm

1×

intervals

Results

1.7s	3987×	body	1024	valid
526.0ms	2037×	body	512	valid
250.0ms	384×	body	2048	valid
153.0ms	1009×	body	256	valid
43.0ms	583×	body	128	valid

Compiler

Compiled 58 to 48 computations (17.2% saved)

Details

analyze6.0ms (0.1%)

sample578.0ms (12.8%)

simplify471.0ms (10.4%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify111.0ms (2.5%)

prune32.0ms (0.7%)

localize7.0ms (0.2%)

series9.0ms (0.2%)

rewrite2.0ms (0%)

simplify70.0ms (1.6%)

prune68.0ms (1.5%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite7.0ms (0.2%)

simplify49.0ms (1.1%)

prune57.0ms (1.3%)

regimes37.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample3.0s (65.8%)

Profiling