Details

analyze4.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample889.0ms (81.7%)

Results

837.0ms	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess14.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 8 to 6 computations (25% saved)

simplify32.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 31 to 22 computations (29% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series7.0ms (0.7%)

Counts

1 → 4

Calls

3 calls:

4.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))	x	-inf
2.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))	x	0
1.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))	x	inf

rewrite36.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
603×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1753	9

Stop Event

1×	node limit

Counts

1 → 15

simplify24.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

676×	`times-frac_binary64`
548×	`fma-neg_binary64`
457×	`fma-def_binary64`
373×	`cancel-sign-sub-inv_binary64`
371×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	34
1	44	34
2	100	34
3	268	34
4	709	34
5	1948	34

Stop Event

1×	node limit

Counts

19 → 22

prune12.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

Counts

23 → 2

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	0.4b	(+.f64 (+.f64 x -1/2) (/.f64 -1/8 x))

Compiler

Compiled 208 to 158 computations (24% saved)

localize5.0ms (0.5%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	0.4b	(+.f64 (+.f64 x -1/2) (/.f64 -1/8 x))

Compiler

Compiled 16 to 12 computations (25% saved)

regimes17.0ms (1.6%)

Accuracy

Total 0.4b remaining (98.5%)

Threshold costs 0.4b (98.5%)

Counts

6 → 1

Compiler

Compiled 98 to 72 computations (26.5% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10

Stop Event

1×

saturated

end37.0ms (3.4%)

Stop Event

1×

done

Compiler

Compiled 32 to 24 computations (25% saved)

Details

analyze4.0ms (0.4%)

sample889.0ms (81.7%)

preprocess14.0ms (1.3%)

simplify32.0ms (3%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

series7.0ms (0.7%)

rewrite36.0ms (3.3%)

simplify24.0ms (2.2%)

prune12.0ms (1.1%)

localize5.0ms (0.5%)

prune1.0ms (0.1%)

regimes17.0ms (1.6%)

simplify2.0ms (0.2%)

end37.0ms (3.4%)

Profiling