Details

analyze3.5s (31.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample278.0ms (2.5%)

Algorithm

1×

intervals

Results

182.0ms	132×	body	1024	valid
31.0ms	43×	body	512	valid
16.0ms	44×	body	256	valid
16.0ms	9×	body	2048	valid
9.0ms	256×	pre	128	true
5.0ms	28×	body	128	valid

Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	10
2	19	10
3	25	10
4	32	10
5	42	10
6	53	10
7	66	10
8	70	10
9	53	10

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series41.0ms (0.4%)

Counts

1 → 12

Calls

1 calls:

40.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

4.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/r*_binary64`
289×	`fma-def_binary64`
234×	`times-frac_binary64`
195×	`distribute-rgt-in_binary64`
154×	`associate-/l/_binary64`

Counts

41 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1544
1	492	1488
2	1711	1276
3	4911	1276

prune79.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Alt Table

Status	Error	Program
▶	0.4b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 1640 to 1018 computations (37.9% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))

series5.0ms (0%)

Counts

1 → 12

Calls

1 calls:

5.0ms

(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))

rewrite10.0ms (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`
3×	`cancel-sign-sub-inv_binary64`

Counts

1 → 31

Calls

1 calls:

7.0ms

(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))

simplify134.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-neg_binary64`
303×	`associate-l_binary64`
293×	`unsub-neg_binary64`
276×	`fma-def_binary64`
275×	`neg-sub0_binary64`

Counts

43 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	746
1	137	633
2	469	537
3	2224	537
4	3938	537
5	4709	537
6	4873	537

prune62.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Error

Counts

51 → 2

Alt Table

Status	Error	Program
✓	0.4b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 1040 to 610 computations (41.3% saved)

regimes41.0ms (0.4%)

Accuracy

Total 0.0b remaining (72.1%)

Threshold costs 0.0b (72.1%)

Counts

7 → 1

Compiler

Compiled 152 to 118 computations (22.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	12	10
3	13	10
4	13	10

end1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample6.8s (60.8%)

Algorithm

1×

intervals

Results

4.0s	3961×	body	1024	valid
1.0s	1994×	body	512	valid
554.0ms	443×	body	2048	valid
246.0ms	990×	body	256	valid
201.0ms	8000×	pre	128	true
66.0ms	612×	body	128	valid

Compiler

Compiled 41 to 30 computations (26.8% saved)

Details

analyze3.5s (31.8%)

sample278.0ms (2.5%)

simplify18.0ms (0.2%)

prune6.0ms (0.1%)

localize12.0ms (0.1%)

series41.0ms (0.4%)

rewrite7.0ms (0.1%)

simplify107.0ms (1%)

prune79.0ms (0.7%)

localize11.0ms (0.1%)

series5.0ms (0%)

rewrite10.0ms (0.1%)

simplify134.0ms (1.2%)

prune62.0ms (0.6%)

regimes41.0ms (0.4%)

simplify4.0ms (0%)

end1.0ms (0%)

sample6.8s (60.8%)

Profiling