Details

analyze533.0ms (7%)

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)

sample162.0ms (2.1%)

Algorithm

1×

intervals

Results

96.0ms	123×	body	1024	valid
31.0ms	70×	body	512	valid
10.0ms	9×	body	2048	valid
9.0ms	36×	body	256	valid
2.0ms	18×	body	128	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify516.0ms (6.8%)

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

prune6.0ms (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)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (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:

6.0ms

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

series23.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

23.0ms

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

simplify179.0ms (2.4%)

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 → 76

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

prune62.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	2	77

Error

Counts

77 → 2

Alt Table

Status	Error	Program
▶	33.3b	(.f64 1/2 (+.f64 (log1p.f64 x) (.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 1190 to 540 computations (54.6% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
✓	0.3b	(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`associate-l_binary64`
14×	`add-sqr-sqrt_binary64`
10×	`sqrt-prod_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

2 → 56

Calls

2 calls:

12.0ms	(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
4.0ms	(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))

series25.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

15.0ms	(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
9.0ms	(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))

simplify142.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
393×	`fma-def_binary64`
294×	`associate-l_binary64`
264×	`associate-r_binary64`
211×	`times-frac_binary64`

Counts

80 → 143

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1201
1	388	1146
2	993	1138
3	2819	1136
4	4294	1136
5	4901	1136

prune110.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	143	2	145

Error

Counts

145 → 2

Alt Table

Status	Error	Program
✓	33.3b	(.f64 1/2 (+.f64 (log1p.f64 x) (.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 2471 to 1011 computations (59.1% saved)

regimes83.0ms (1.1%)

Accuracy

Total 0.0b remaining (13.8%)

Threshold costs 0.0b (13.8%)

Compiler

Compiled 996 to 482 computations (51.6% saved)

simplify6.0ms (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	8	13
1	15	13
2	20	13
3	23	13
4	24	13
5	24	13

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample5.7s (74.9%)

Algorithm

1×

intervals

Results

3.4s	4042×	body	1024	valid
1.1s	1964×	body	512	valid
443.0ms	379×	body	2048	valid
278.0ms	1025×	body	256	valid
77.0ms	590×	body	128	valid

Compiler

Compiled 49 to 37 computations (24.5% saved)

Details

analyze533.0ms (7%)

sample162.0ms (2.1%)

simplify516.0ms (6.8%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite9.0ms (0.1%)

series23.0ms (0.3%)

simplify179.0ms (2.4%)

prune62.0ms (0.8%)

localize17.0ms (0.2%)

rewrite22.0ms (0.3%)

series25.0ms (0.3%)

simplify142.0ms (1.9%)

prune110.0ms (1.4%)

regimes83.0ms (1.1%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample5.7s (74.9%)

Profiling