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)

sample4.0s (89.3%)

Results

2.5s	4138×	body	1024	valid
755.0ms	2033×	body	512	valid
380.0ms	447×	body	2048	valid
244.0ms	1026×	body	256	valid
75.0ms	612×	body	128	valid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
515×	`fma-def_binary64`
268×	`distribute-rgt-in_binary64`
226×	`unsub-neg_binary64`
210×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	13
2	28	13
3	43	13
4	73	13
5	109	13
6	153	13
7	272	13
8	588	13
9	1041	13
10	1479	13
11	1876	13
12	2080	13
13	2221	13
14	2514	13
15	3397	13
16	4571	13

Stop Event

1×	node limit

Counts

1 → 2

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)

localize7.0ms (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)))

rewrite38.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`expm1-log1p-u_binary64`
482×	`log1p-expm1-u_binary64`
391×	`prod-diff_binary64`
219×	`log-prod_binary64`
153×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	130	8
2	1853	8

Stop Event

1×	node limit

Counts

1 → 82

Calls

1 calls:

36.0ms

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

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary64`
503×	`associate-/l/_binary64`
369×	`times-frac_binary64`
301×	`associate-l_binary64`
198×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	174
1	108	174
2	250	174
3	603	174
4	1149	174
5	2672	174

Stop Event

1×	node limit

Counts

94 → 104

prune43.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	2	105

Error

0.0b

Counts

105 → 2

Alt Table

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

Compiler

Compiled 1766 to 872 computations (50.6% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series11.0ms (0.2%)

Counts

3 → 24

Calls

3 calls:

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

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`
200×	`log-pow_binary64`
166×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	301	42
2	3194	42

Stop Event

1×	node limit

Counts

3 → 75

Calls

3 calls:

48.0ms	(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
48.0ms	(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
48.0ms	(*.f64 2/3 (pow.f64 x 3))

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

708×	`sqr-pow_binary64`
624×	`unswap-sqr_binary64`
300×	`pow-sqr_binary64`
296×	`associate-l_binary64`
252×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	336
1	46	336
2	94	336
3	209	336
4	405	336
5	1054	336
6	1570	336
7	2519	336
8	2673	336
9	2922	336
10	3237	336
11	3718	336
12	4397	336

Stop Event

1×	node limit

Counts

99 → 83

prune86.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Error

0.0b

Counts

85 → 2

Alt Table

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

Compiler

Compiled 2183 to 1801 computations (17.5% saved)

regimes36.0ms (0.8%)

Accuracy

Total 0.0b remaining (79.3%)

Threshold costs 0.0b (79.3%)

Counts

9 → 1

Compiler

Compiled 580 to 474 computations (18.3% saved)

simplify2.0ms (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

Stop Event

1×

saturated

end49.0ms (1.1%)

Compiler: Compiled 48 to 38 computations (20.8% saved)

Details

analyze5.0ms (0.1%)

sample4.0s (89.3%)

simplify46.0ms (1%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite38.0ms (0.8%)

simplify26.0ms (0.6%)

prune43.0ms (0.9%)

localize12.0ms (0.3%)

series11.0ms (0.2%)

rewrite49.0ms (1.1%)

simplify66.0ms (1.5%)

prune86.0ms (1.9%)

regimes36.0ms (0.8%)

simplify2.0ms (0.1%)

end49.0ms (1.1%)

Profiling