Details

analyze1.8s (22.6%)

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)

sample154.0ms (2%)

Algorithm

1×

intervals

Results

97.0ms	140×	body	1024	valid
20.0ms	58×	body	512	valid
14.0ms	14×	body	2048	valid
5.0ms	28×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	16×	body	128	valid

Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify11.0ms (0.1%)

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 → 1

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

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(log1p.f64 (neg.f64 x))
0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite53.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
8×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`

Counts

2 → 75

Calls

2 calls:

12.0ms	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
9.0ms	(log1p.f64 (neg.f64 x))

Compiler

Compiled 741 to 164 computations (77.9% saved)

series24.0ms (0.3%)

Error

0.0b

Counts

2 → 13

Calls

2 calls:

9.0ms	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
7.0ms	(log1p.f64 (neg.f64 x))

Compiler

Compiled 419 to 332 computations (20.8% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

822×	`fma-neg_binary64`
584×	`times-frac_binary64`
248×	`associate-/l*_binary64`
200×	`associate-l_binary64`
180×	`fma-def_binary64`

Counts

88 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	845
1	240	776
2	734	756
3	3240	718
4	4725	718
5	4908	718

prune14.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Error

0.0b

Counts

38 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	33.1b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
▶	0.7b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))

Compiler

Compiled 399 to 175 computations (56.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-cube-cbrt_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`flip3--_binary64`
4×	`pow1_binary64`

Counts

1 → 48

Calls

1 calls:

15.0ms

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

Compiler

Compiled 1441 to 834 computations (42.1% saved)

series12.0ms (0.2%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

11.0ms

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

Compiler

Compiled 132 to 107 computations (18.9% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac_binary64`
313×	`distribute-rgt-in_binary64`
275×	`distribute-lft-in_binary64`
267×	`fma-def_binary64`
244×	`associate-l_binary64`

Counts

57 → 30

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	816
1	186	786
2	597	744
3	2750	744
4	4872	744

prune17.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	30	3	33

Error

0.0b

Counts

33 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	33.1b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
✓	0.7b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))

Compiler

Compiled 451 to 283 computations (37.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))
0.6b	(cbrt.f64 (log1p.f64 x))
0.6b	(cbrt.f64 (log1p.f64 x))
32.4b	(cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))

rewrite90.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1/3_binary64`
28×	`add-cube-cbrt_binary64`
17×	`add-sqr-sqrt_binary64`
12×	`add-exp-log_binary64`
12×	`log1p-expm1-u_binary64`

Counts

4 → 133

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))
10.0ms	(cbrt.f64 (log1p.f64 x))
10.0ms	(cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))
10.0ms	(cbrt.f64 (log1p.f64 x))

Compiler

Compiled 2483 to 739 computations (70.2% saved)

series67.0ms (0.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

15.0ms	(cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))
14.0ms	(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))
12.0ms	(cbrt.f64 (log1p.f64 x))
11.0ms	(cbrt.f64 (log1p.f64 x))

Compiler

Compiled 1919 to 1292 computations (32.7% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-def_binary64`
563×	`fma-neg_binary64`
280×	`associate-l_binary64`
238×	`cancel-sign-sub-inv_binary64`
215×	`associate-r_binary64`

Counts

157 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1356
1	329	1196
2	717	1160
3	1940	1127
4	4624	1127
5	4895	1127

prune27.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	73	3	76

Error

0.0b

Counts

76 → 3

Alt Table

Status	Error	Program
	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	33.1b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	0.7b	(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))

Compiler

Compiled 1413 to 551 computations (61% saved)

regimes45.0ms (0.6%)

Accuracy

Total 0.0b remaining (79.2%)

Threshold costs 0.0b (79.2%)

Compiler

Compiled 556 to 374 computations (32.7% saved)

simplify3.0ms (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	8	13
1	11	13
2	13	13
3	14	13
4	14	13

end1.0ms (0%)

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

sample5.2s (66.7%)

Algorithm

1×

intervals

Results

3.3s	3952×	body	1024	valid
738.0ms	2041×	body	512	valid
371.0ms	388×	body	2048	valid
196.0ms	997×	body	256	valid
160.0ms	8000×	pre	128	true
55.0ms	622×	body	128	valid

Compiler

Compiled 66 to 45 computations (31.8% saved)

Details

analyze1.8s (22.6%)

sample154.0ms (2%)

simplify11.0ms (0.1%)

prune3.0ms (0%)

localize5.0ms (0.1%)

rewrite53.0ms (0.7%)

series24.0ms (0.3%)

simplify79.0ms (1%)

prune14.0ms (0.2%)

localize5.0ms (0.1%)

rewrite55.0ms (0.7%)

series12.0ms (0.2%)

simplify60.0ms (0.8%)

prune17.0ms (0.2%)

localize15.0ms (0.2%)

rewrite90.0ms (1.2%)

series67.0ms (0.9%)

simplify89.0ms (1.1%)

prune27.0ms (0.3%)

regimes45.0ms (0.6%)

simplify3.0ms (0%)

end1.0ms (0%)

sample5.2s (66.7%)

Profiling