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)

sample512.0ms (11.1%)

Algorithm

1×

intervals

Results

55.0ms	135×	body	1024	valid
18.0ms	68×	body	512	valid
6.0ms	11×	body	2048	valid
4.0ms	25×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify416.0ms (9%)

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)))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite8.0ms (0.2%)

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)))

simplify97.0ms (2.1%)

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

prune33.0ms (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
	43.3b	(*.f64 1/2 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)))
▶	0.1b	(.f64 1/2 (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3)))))

Compiler

Compiled 1205 to 559 computations (53.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series8.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

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

rewrite6.0ms (0.1%)

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:

4.0ms	(*.f64 2/3 (pow.f64 x 3))
0.0ms	(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

581×	`distribute-rgt-in_binary64`
575×	`distribute-lft-in_binary64`
538×	`associate-l_binary64`
502×	`associate-r_binary64`
443×	`fma-def_binary64`

Counts

55 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	766
1	140	689
2	389	677
3	2053	677
4	4917	677
5	4945	677

prune42.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Error

Counts

61 → 2

Alt Table

Status	Error	Program
▶	43.3b	(*.f64 1/2 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)))
✓	0.1b	(.f64 1/2 (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3)))))

Compiler

Compiled 1215 to 968 computations (20.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	0.0b	(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)
✓	43.3b	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))

series11.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

7.0ms	(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)
3.0ms	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
16×	`cbrt-prod_binary64`
10×	`cube-prod_binary64`
10×	`unpow-prod-down_binary64`

Counts

2 → 60

Calls

2 calls:

3.0ms	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
3.0ms	(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

508×	`associate-l_binary64`
460×	`fma-def_binary64`
458×	`associate-r_binary64`
255×	`exp-prod_binary64`
253×	`distribute-rgt-in_binary64`

Counts

84 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1679
1	398	1568
2	1126	1543
3	4458	1543
4	5079	1543

prune78.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	172	2	174

Error

Counts

174 → 2

Alt Table

Status	Error	Program
✓	43.3b	(*.f64 1/2 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)))
✓	0.1b	(.f64 1/2 (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3)))))

Compiler

Compiled 3394 to 1879 computations (44.6% saved)

regimes73.0ms (1.6%)

Accuracy

Total -0.0b remaining (-6.1%)

Threshold costs -0.0b (-6.1%)

Counts

26 → 1

Compiler

Compiled 1368 to 1094 computations (20% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-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	13
1	19	13
2	24	13
3	27	13
4	28	13
5	27	13

end0.0ms (0%)

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

sample3.2s (68.4%)

Algorithm

1×

intervals

Results

1.9s	3969×	body	1024	valid
507.0ms	2012×	body	512	valid
275.0ms	413×	body	2048	valid
143.0ms	1000×	body	256	valid
40.0ms	606×	body	128	valid

Compiler

Compiled 52 to 43 computations (17.3% saved)

Details

analyze5.0ms (0.1%)

sample512.0ms (11.1%)

simplify416.0ms (9%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite8.0ms (0.2%)

simplify97.0ms (2.1%)

prune33.0ms (0.7%)

localize8.0ms (0.2%)

series8.0ms (0.2%)

rewrite6.0ms (0.1%)

simplify60.0ms (1.3%)

prune42.0ms (0.9%)

localize7.0ms (0.2%)

series11.0ms (0.2%)

rewrite9.0ms (0.2%)

simplify73.0ms (1.6%)

prune78.0ms (1.7%)

regimes73.0ms (1.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample3.2s (68.4%)

Profiling