Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample2.5s (76.3%)

Results

1.4s	2692×	body	1024	valid
418.0ms	1408×	body	512	valid
293.0ms	3206×	body	128	valid
176.0ms	271×	body	2048	valid
157.0ms	679×	body	256	valid

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`log1p-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	9	3

Stop Event

1×

saturated

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	(log1p.f64 x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(log1p.f64 x)

rewrite39.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

230×	`expm1-log1p-u_binary64`
229×	`add-sqr-sqrt_binary64`
229×	`log1p-expm1-u_binary64`
210×	`add-cbrt-cube_binary64`
209×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	57	3
2	645	3

Stop Event

1×	node limit

Counts

1 → 35

Calls

1 calls:

39.0ms

(log1p.f64 x)

simplify32.0ms (1%)

Algorithm

1×	egg-herbie

Rules

498×	`sub-neg_binary64`
397×	`fma-def_binary64`
240×	`cancel-sign-sub-inv_binary64`
214×	`associate-+l+_binary64`
212×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	186
1	125	166
2	351	162
3	1143	154
4	4508	154

Stop Event

1×	node limit

Counts

47 → 54

prune36.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

Counts

55 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log1p.f64 x)
▶	32.6b	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))

Compiler

Compiled 536 to 345 computations (35.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
✓	0.3b	(pow.f64 (log1p.f64 x) 5/2)
✓	0.4b	(cbrt.f64 (sqrt.f64 (log1p.f64 x)))
✓	12.3b	(cbrt.f64 (pow.f64 (log1p.f64 x) 5/2))

series228.0ms (7.1%)

Counts

4 → 48

Calls

4 calls:

201.0ms	(cbrt.f64 (pow.f64 (log1p.f64 x) 5/2))
13.0ms	(pow.f64 (log1p.f64 x) 5/2)
10.0ms	(cbrt.f64 (sqrt.f64 (log1p.f64 x)))
2.0ms	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))

rewrite46.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`expm1-log1p-u_binary64`
631×	`log1p-expm1-u_binary64`
333×	`log-prod_binary64`
127×	`expm1-udef_binary64`
127×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	181	21
2	1989	21

Stop Event

1×	node limit

Counts

4 → 91

Calls

4 calls:

45.0ms	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
45.0ms	(pow.f64 (log1p.f64 x) 5/2)
45.0ms	(cbrt.f64 (sqrt.f64 (log1p.f64 x)))
45.0ms	(cbrt.f64 (pow.f64 (log1p.f64 x) 5/2))

simplify75.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-def_binary64`
504×	`times-frac_binary64`
410×	`associate-/r*_binary64`
302×	`associate-/l*_binary64`
236×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	6218
1	2099	5576

Stop Event

1×	node limit

Counts

139 → 179

prune222.0ms (6.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	179	2	181

Error

Counts

181 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log1p.f64 x)
✓	32.6b	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))

Compiler

Compiled 9325 to 7515 computations (19.4% saved)

regimes23.0ms (0.7%)

Accuracy

Total 0.0b remaining (28.6%)

Threshold costs 0.0b (28.6%)

Counts

8 → 1

Compiler

Compiled 193 to 151 computations (21.8% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×

saturated

end38.0ms (1.2%)

Compiler: Compiled 20 to 14 computations (30% saved)

Details

analyze3.0ms (0.1%)

sample2.5s (76.3%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize2.0ms (0.1%)

series3.0ms (0.1%)

rewrite39.0ms (1.2%)

simplify32.0ms (1%)

prune36.0ms (1.1%)

localize8.0ms (0.3%)

series228.0ms (7.1%)

rewrite46.0ms (1.4%)

simplify75.0ms (2.3%)

prune222.0ms (6.9%)

regimes23.0ms (0.7%)

simplify1.0ms (0%)

end38.0ms (1.2%)

Profiling