Details

analyze787.0ms (16.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.1%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.0s (63.5%)

Results

1.5s	2774×	body	1024	valid
647.0ms	1334×	body	512	valid
399.0ms	3200×	body	128	valid
159.0ms	285×	body	2048	valid
138.0ms	663×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

667×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
380×	`fma-def_binary64`
279×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	25	13
2	34	13
3	59	13
4	123	11
5	318	8
6	1056	8
7	4350	8
8	4987	8

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (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	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.0b	(+.f64 1 (exp.f64 x))

series5.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
357×	`unpow-prod-down_binary64`
232×	`log-prod_binary64`
140×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	117	14
2	1314	14
3	5001	14

Stop Event

1×	node limit

Counts

2 → 100

Calls

2 calls:

45.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
45.0ms	(+.f64 1 (exp.f64 x))

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
661×	`associate-/l*_binary64`
268×	`fma-neg_binary64`
177×	`associate-/r/_binary64`
159×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	180
1	131	166
2	430	142
3	1778	130
4	4971	130
5	4989	130

Stop Event

1×	node limit

Counts

108 → 113

prune96.0ms (2.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	1	114

Error

Counts

114 → 1

Alt Table

Status	Error	Program
▶	0b	(sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))

Compiler

Compiled 1535 to 1120 computations (27% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
✓	0.0b	(/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
✓	0.0b	(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
✓	0.0b	(pow.f64 (exp.f64 x) 3)

series110.0ms (2.4%)

Counts

4 → 40

Calls

4 calls:

43.0ms	(sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
35.0ms	(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
28.0ms	(/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
5.0ms	(pow.f64 (exp.f64 x) 3)

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
267×	`fma-def_binary64`
252×	`prod-diff_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	249	60
2	2814	60
3	5327	60

Stop Event

1×	node limit

Counts

4 → 153

Calls

4 calls:

66.0ms	(sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
66.0ms	(/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
66.0ms	(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
66.0ms	(pow.f64 (exp.f64 x) 3)

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

787×	`times-frac_binary64`
368×	`fma-neg_binary64`
264×	`fma-def_binary64`
183×	`associate-+l+_binary64`
153×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	811
1	200	793
2	608	766
3	2268	678
4	4969	678
5	4994	678

Stop Event

1×	node limit

Counts

193 → 185

prune132.0ms (2.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	1	186

Error

Counts

186 → 1

Alt Table

Status	Error	Program
✓	0b	(sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))

Compiler

Compiled 3988 to 2593 computations (35% saved)

regimes174.0ms (3.7%)

Accuracy

Total -0.0b remaining (-7.2%)

Threshold costs -0.0b (-7.2%)

Counts

79 → 1

Compiler

Compiled 2692 to 2202 computations (18.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	18	24
2	22	24
3	24	24
4	25	24
5	24	24

Stop Event

1×

saturated

end107.0ms (2.3%)

Compiler: Compiled 49 to 37 computations (24.5% saved)

Details

analyze787.0ms (16.9%)

sample3.0s (63.5%)

simplify46.0ms (1%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

series5.0ms (0.1%)

rewrite47.0ms (1%)

simplify43.0ms (0.9%)

prune96.0ms (2.1%)

localize10.0ms (0.2%)

series110.0ms (2.4%)

rewrite68.0ms (1.5%)

simplify59.0ms (1.3%)

prune132.0ms (2.8%)

regimes174.0ms (3.7%)

simplify2.0ms (0%)

end107.0ms (2.3%)

Profiling