Details

analyze2.2s (5.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	199.9%	-99.9%	0%	0%	0%	1
0%	0%	399.8%	-299.8%	0%	0%	0%	2
0%	0%	799.6%	-699.6%	0%	0%	0%	3
0%	0%	1599.2%	-1499.2%	0%	0%	0%	4
0%	0%	3198.4%	-3098.4%	0%	0%	0%	5
0%	0%	6396.9%	-6296.9%	0%	0%	0%	6
0%	0%	12793.8%	-12693.8%	0%	0%	0%	7
0%	0%	25587.5%	-25487.5%	0%	0%	0%	8
0%	0%	51175%	-51075%	0%	0%	0%	9
0%	0%	102350%	-102250%	0%	0%	0%	10
0%	0%	204700%	-204600%	0%	0%	0%	11
0%	0%	409400%	-409300%	0%	0%	0%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample22.4s (53%)

Results

8.2s	4095×	body	2048	valid
5.8s	4138×	body	1024	invalid
3.0s	2042×	body	1024	valid
2.1s	2136×	body	512	invalid
1.2s	2048×	body	256	invalid
1.1s	1005×	body	512	valid
605.0ms	238×	body	4096	valid
440.0ms	876×	body	256	valid
24.0ms	15×	body	2048	invalid

Bogosity

preprocess71.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1520×	`fma-def`
1062×	`fma-neg`
734×	`div-sub`
486×	`associate-/r*`
428×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	127	117
3	334	109
4	987	109
5	2558	109
6	6093	109
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (neg.f64 (.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1520×	`fma-def`
1062×	`fma-neg`
734×	`div-sub`
486×	`associate-/r*`
428×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	127	117
3	334	109
4	987	109
5	2558	109
6	6093	109

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (neg.f64 (.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))

eval4.0ms (0%)

Compiler: Compiled 240 to 170 computations (29.2% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	6	2	8

Accurracy

2.0%

Counts

8 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	2.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

2.0%

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

▶

2.0%

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize1.7s (4.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	56.4%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
✓	48.3%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Compiler

Compiled 198 to 145 computations (26.8% saved)

series72.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
28.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
2.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms	f	@	-inf	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

rewrite42.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

354×	`add-sqr-sqrt`
344×	`pow1`
344×	`*-un-lft-identity`
338×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	220
1	353	220
2	5915	220

Stop Event

1×

unsound

Counts

4 → 100

Calls

Call 1

Inputs
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
(*.f64 (/.f64 (PI.f64) 4) f)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Outputs
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f

simplify60.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1478×	`fma-def`
1398×	`times-frac`
730×	`distribute-rgt-in`
730×	`distribute-lft-in`
668×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	3252
1	405	3008
2	1681	2748

Stop Event

1×	node limit

Counts

148 → 74

Calls

Call 1

Inputs
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

Outputs
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (/.f64 (.f64 -2 (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.f64 f (fma.f64 (/.f64 (.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (/.f64 (.f64 -2 (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.f64 f (fma.f64 (/.f64 (.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
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(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))) (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 1/2 (.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)) (neg.f64 (log.f64 f)))))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (/.f64 (.f64 -2 (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 0))) (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (-.f64 (.f64 f (.f64 (PI.f64) 0)) (log.f64 f))))
(-.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (/.f64 (.f64 1/192 (/.f64 (PI.f64) 1/2)) 1/2) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) 0) (.f64 (*.f64 f f) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))))
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval57.0ms (0.1%)

Compiler: Compiled 3022 to 2313 computations (23.5% saved)

prune14.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Accurracy

99.4%

Counts

84 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	47.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	8.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
▶	54.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
▶	47.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	47.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	8.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
▶	54.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))

Compiler

Compiled 98 to 90 computations (8.2% saved)

localize758.0ms (1.8%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	98.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144))

Compiler

Compiled 169 to 127 computations (24.9% saved)

series96.0ms (0.2%)

Counts

6 → 44

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
22.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
15.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
12.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
11.0ms	f	@	inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite132.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`log-prod`
956×	`prod-diff`
638×	`expm1-udef`
632×	`log1p-udef`
536×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	132
1	442	132
2	5120	132

Stop Event

1×	node limit

Counts

6 → 361

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

Outputs
(+.f64 0 (/.f64 (*.f64 (log.f64 262144) 4) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 262144 (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 262144 (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 262144 (/.f64 4 (PI.f64))))))
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(.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
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(/.f64 1 (/.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))
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(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)
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(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1)) (/.f64 1 f)))
(log.f64 (*.f64 (/.f64 1 f) (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1))))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1)) f))
(log.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1)) (+.f64 1 (-.f64 f 1))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))
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(fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(fma.f64 1 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) 1 (neg.f64 (log.f64 f)))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) 1 (*.f64 (neg.f64 (log.f64 f)) 1))
(fma.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1 (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1 (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (neg.f64 (log.f64 f)))
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(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
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(fma.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
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(fma.f64 (sqrt.f64 (log.f64 f)) (neg.f64 (sqrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
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(fma.f64 -1 (log.f64 (.f64 (PI.f64) 1/4)) (.f64 (neg.f64 (log.f64 f)) 1))
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(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))

simplify193.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

966×	`log-prod`
668×	`associate-/l*`
620×	`times-frac`
514×	`log-div`
466×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	696	15907
1	1684	14747
2	6633	14613

Stop Event

1×	node limit

Counts

405 → 420

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
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(log.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 4 (PI.f64)) 1)) (+.f64 1 (-.f64 f 1))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
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(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
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Outputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (neg.f64 f)))))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
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(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (/.f64 (*.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
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(+.f64 (.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (log.f64 (/.f64 (.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (log.f64 f)) 1 (log.f64 f)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (.f64 4 f) (PI.f64)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 1 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (*.f64 4 f) (PI.f64)))))
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(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 f (/.f64 4 (PI.f64))))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(+.f64 (.f64 0 (log.f64 f)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (/.f64 (.f64 4 f) (PI.f64)))))
(fma.f64 (.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (.f64 (PI.f64) f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 f))) (cbrt.f64 (neg.f64 (log.f64 f)))) (cbrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (*.f64 0 (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (log.f64 f) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 3))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (fma.f64 -1 (log.f64 f) (log.f64 f)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 f))) (*.f64 0 (log.f64 f)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (neg.f64 (cbrt.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 3)))

eval161.0ms (0.4%)

Compiler: Compiled 8512 to 6017 computations (29.3% saved)

prune170.0ms (0.4%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	403	17	420
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	405	19	424

Accurracy

99.6%

Counts

424 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2))
	47.1%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3))
	47.2%	(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
▶	47.9%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
	8.9%	(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))
	47.8%	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	47.9%	(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4))))
▶	45.6%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 1))
▶	8.9%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
	47.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (cbrt.f64 f)))) (*.f64 2 (log.f64 (cbrt.f64 f))))))
	47.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (.f64 4 (/.f64 1 f))))))
✓	47.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
✓	54.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
	45.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
▶	47.9%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	39.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	45.6%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	45.7%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
▶	47.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))
	46.1%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2))
	47.1%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3))
	47.2%	(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
▶	47.9%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
	8.9%	(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))
	47.8%	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	47.9%	(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4))))
▶	45.6%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 1))
▶	8.9%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
	47.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (cbrt.f64 f)))) (*.f64 2 (log.f64 (cbrt.f64 f))))))
	47.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (.f64 4 (/.f64 1 f))))))
✓	47.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
✓	54.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
	45.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
▶	47.9%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	39.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	45.6%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	45.7%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
▶	47.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))

Compiler

Compiled 1052 to 904 computations (14.1% saved)

localize4.6s (10.9%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.7%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	99.2%	(exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	48.2%	(PI.f64)
✓	99.7%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	99.5%	(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3))
✓	99.5%	(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)
✓	48.2%	(PI.f64)
	99.9%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.8%	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
	98.5%	(log.f64 (/.f64 4 (PI.f64)))
✓	48.2%	(PI.f64)
✓	99.3%	(*.f64 (/.f64 4 (PI.f64)) (log.f64 262144))
✓	48.2%	(PI.f64)
✓	99.8%	(*.f64 (PI.f64) f)
✓	99.8%	(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
✓	99.7%	(/.f64 4 (*.f64 (PI.f64) f))
✓	48.2%	(PI.f64)

Compiler

Compiled 274 to 169 computations (38.3% saved)

series102.0ms (0.2%)

Counts

16 → 116

Calls

30 calls:

Time	Variable		Point	Expression
61.0ms	f	@	-inf	(exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
19.0ms	f	@	0	(exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
15.0ms	f	@	inf	(exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
2.0ms	f	@	0	(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3))
1.0ms	f	@	0	(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)

rewrite281.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`prod-diff`
786×	`expm1-udef`
454×	`add-sqr-sqrt`
446×	`pow1`
442×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	306
1	534	304
2	6180	304

Stop Event

1×	node limit

Counts

16 → 763

Calls

Call 1

Inputs
(PI.f64)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(*.f64 (PI.f64) f)
(PI.f64)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 262144))
(PI.f64)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(PI.f64)
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(PI.f64)
(exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(*.f64 (/.f64 4 (PI.f64)) (exp.f64 (neg.f64 (log.f64 f))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) 1))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 1 (.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (log.f64 f) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (cbrt.f64 (PI.f64)))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 (log.f64 f) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64)))))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64)))) (/.f64 1 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) 1) (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) 1))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (sqrt.f64 (PI.f64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (sqrt.f64 (PI.f64))))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 f)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64))) (/.f64 (sqrt.f64 (log.f64 f)) 1) (.f64 (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 f)) 1))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
(+.f64 (fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
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(+.f64 (fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))))))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(+.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))))
(+.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) (.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1) 1)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (.f64 (.f64 (PI.f64) 1/4) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 4 (PI.f64)) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (.f64 (.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 4) (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) -4) (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 4) (.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) f)) (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) -4) (.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (PI.f64))))
(/.f64 (.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 4 (PI.f64)) f))))))
(/.f64 (.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (PI.f64) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (neg.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 4 (PI.f64)) f))))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (neg.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (log.f64 (.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 4 (PI.f64))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 4 (PI.f64))) (log.f64 (.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 1/3))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(*.f64 (/.f64 4 (PI.f64)) (exp.f64 (neg.f64 (log.f64 f))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))

simplify374.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1100×	`times-frac`
916×	`associate-/r*`
754×	`associate-r`
730×	`associate-l`
472×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	939	52941
1	2270	43787

Stop Event

1×	node limit

Counts

879 → 527

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(.f64 64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))
(.f64 64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))
(.f64 64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))
(.f64 64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (cbrt.f64 64)) (PI.f64))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (cbrt.f64 64)) (PI.f64))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (cbrt.f64 64)) (PI.f64))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (cbrt.f64 64)) (PI.f64))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (log.f64 (.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 4 (PI.f64))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (/.f64 4 (PI.f64))) (log.f64 (.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) 1/3))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(*.f64 (/.f64 4 (PI.f64)) (exp.f64 (neg.f64 (log.f64 f))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))

Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(.f64 64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(.f64 64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(.f64 64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(.f64 64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)) (pow.f64 (PI.f64) 3))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)) (pow.f64 (PI.f64) 3))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)) (pow.f64 (PI.f64) 3))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3)) (pow.f64 (PI.f64) 3))
(/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 (PI.f64) (cbrt.f64 64)))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 (cbrt.f64 64) (PI.f64)))
(/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 64)) (PI.f64))
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(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))

eval444.0ms (1.1%)

Compiler: Compiled 25384 to 15794 computations (37.8% saved)

prune237.0ms (0.6%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1049	8	1057
Fresh	8	4	12
Picked	2	3	5
Done	1	1	2
Total	1060	16	1076

Accurracy

99.6%

Counts

1076 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2))
	47.7%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))) 1/4))
✓	47.9%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
▶	8.9%	(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))
▶	47.9%	(neg.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))) 1/4))
	45.7%	(neg.f64 (/.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1/4))
▶	47.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	47.9%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
✓	8.9%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
✓	54.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
✓	47.9%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	47.9%	(neg.f64 (.f64 4 (/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (.f64 4 (/.f64 1 f)))) (PI.f64))))
	45.6%	(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
	39.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
▶	45.6%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	45.7%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	46.1%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2))
	47.7%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))) 1/4))
✓	47.9%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
▶	8.9%	(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))
▶	47.9%	(neg.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))) 1/4))
	45.7%	(neg.f64 (/.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1/4))
▶	47.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	47.9%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
✓	8.9%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
✓	54.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
✓	47.9%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	47.9%	(neg.f64 (.f64 4 (/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (.f64 4 (/.f64 1 f)))) (PI.f64))))
	45.6%	(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
	39.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
▶	45.6%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	45.7%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))

Compiler

Compiled 726 to 630 computations (13.2% saved)

localize5.6s (13.2%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(/.f64 4 (*.f64 (PI.f64) f))
	99.7%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	99.2%	(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	48.2%	(PI.f64)
✓	99.8%	(+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 4 (/.f64 1 f))))
✓	99.8%	(/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 4 (/.f64 1 f)))) (PI.f64))
	48.2%	(PI.f64)
✓	99.7%	(/.f64 (/.f64 4 f) (PI.f64))
✓	99.7%	(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
✓	99.7%	(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
	48.2%	(PI.f64)
	48.2%	(PI.f64)
✓	99.7%	(/.f64 (/.f64 4 f) (PI.f64))
✓	96.3%	(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
	48.2%	(PI.f64)

Compiler

Compiled 270 to 179 computations (33.7% saved)

series44.0ms (0.1%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
23.0ms	f	@	0	(/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 4 (/.f64 1 f)))) (PI.f64))
11.0ms	f	@	-inf	(/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 4 (/.f64 1 f)))) (PI.f64))
6.0ms	f	@	inf	(/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 4 (/.f64 1 f)))) (PI.f64))
1.0ms	f	@	0	(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
1.0ms	f	@	0	(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))

rewrite134.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`expm1-udef`
516×	`add-sqr-sqrt`
510×	`pow1`
506×	`*-un-lft-identity`
488×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	214
1	611	192
2	7664	192

Stop Event

1×	node limit

Counts

8 → 357

Calls

Call 1

Inputs
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 4 (/.f64 1 f)))) (PI.f64))
(+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 4 (/.f64 1 f))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (PI.f64)))) 1)
(.f64 1 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (PI.f64)))
(.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (PI.f64)) 1)
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2)) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 16 (pow.f64 (.f64 f (PI.f64)) 2)) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (PI.f64))))
(.f64 (sqrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (PI.f64))) (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (PI.f64))))
(*.f64 (pow.f64 4 (PI.f64)) (pow.f64 (/.f64 (PI.f64) f) (PI.f64)))
(*.f64 (pow.f64 (/.f64 4 f) (PI.f64)) (pow.f64 (PI.f64) (PI.f64)))
(.f64 (pow.f64 1 (PI.f64)) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 f (PI.f64)) 2))) (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(.f64 (pow.f64 (/.f64 2 (sqrt.f64 (.f64 f (PI.f64)))) (PI.f64)) (pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2)) (PI.f64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (PI.f64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (PI.f64))))
(exp.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 4 (/.f64 (PI.f64) f))
(.f64 4 (.f64 (/.f64 1 f) (PI.f64)))
(*.f64 (/.f64 4 f) (PI.f64))
(*.f64 (PI.f64) (/.f64 4 f))
(.f64 (/.f64 4 (.f64 f (PI.f64))) 1)
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(.f64 (/.f64 1 f) (.f64 4 (PI.f64)))
(.f64 (.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 f (PI.f64)) 2))) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 f -2) 16)) (*.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(.f64 (/.f64 2 (sqrt.f64 (.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(.f64 (/.f64 2 (sqrt.f64 f)) (.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(.f64 (pow.f64 f -1/2) (/.f64 (.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 -4 (/.f64 1 (.f64 f (neg.f64 (PI.f64)))))
(*.f64 (/.f64 (PI.f64) f) 4)
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 1 f) (sqrt.f64 (PI.f64))) (/.f64 4 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (/.f64 1 f) 1) (.f64 4 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 f) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4 (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 f -2) 16)) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 f -2) 16)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 f -2) 16)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) 1) (/.f64 (/.f64 2 (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 2 (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (PI.f64) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (PI.f64) (sqrt.f64 f)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (.f64 4 (PI.f64)) (cbrt.f64 f)))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (*.f64 4 (PI.f64))) f))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (*.f64 4 (PI.f64))) (sqrt.f64 f)))
(.f64 (/.f64 (.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (*.f64 2 (sqrt.f64 (PI.f64))) f))
(.f64 (/.f64 (.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (*.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(.f64 (.f64 (/.f64 4 f) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 4 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 2)
(pow.f64 (.f64 (.f64 f (PI.f64)) 1/4) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2)))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 1)
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1)
(.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 (*.f64 f (PI.f64)) 1/4))))
(.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))
(.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3))) (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
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(-.f64 (/.f64 (pow.f64 (log.f64 (PI.f64)) 2) (log.f64 (.f64 (.f64 f (PI.f64)) 1/4))) (/.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2) (log.f64 (.f64 (.f64 f (PI.f64)) 1/4))))
(-.f64 (+.f64 (log.f64 (/.f64 4 f)) 0) (log.f64 (PI.f64)))
(.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1)
(.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (pow.f64 (log.f64 (/.f64 4 f)) 2)) (/.f64 1 (log.f64 (.f64 (*.f64 f (PI.f64)) 1/4))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (PI.f64)))) (-.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (PI.f64)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3))))
(/.f64 1 (/.f64 (log.f64 (.f64 (.f64 f (PI.f64)) 1/4)) (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (pow.f64 (log.f64 (/.f64 4 f)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2) (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (*.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 4 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (pow.f64 (log.f64 (/.f64 4 f)) 2)) (log.f64 (.f64 (.f64 f (PI.f64)) 1/4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) 2) (pow.f64 (log.f64 (/.f64 4 f)) 2))) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 f)) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2) (+.f64 (pow.f64 (log.f64 (PI.f64)) 2) (*.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 4 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 f (PI.f64))) 3)) (+.f64 (.f64 (log.f64 4) (log.f64 4)) (+.f64 (.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 (.f64 f (PI.f64)))) (.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 f)) 2) (pow.f64 (log.f64 (PI.f64)) 2)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (-.f64 (.f64 (log.f64 4) (log.f64 4)) (.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 (.f64 f (PI.f64))))) (+.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)
(neg.f64 (log.f64 (.f64 (.f64 f (PI.f64)) 1/4)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 f (PI.f64))) 1))
(fma.f64 1 (log.f64 (PI.f64)) (log.f64 (/.f64 4 f)))
(fma.f64 1 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 f))) 2) (cbrt.f64 (log.f64 (/.f64 4 f))) (log.f64 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2) (cbrt.f64 (log.f64 (PI.f64))) (log.f64 (/.f64 4 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 f))) (sqrt.f64 (log.f64 (/.f64 4 f))) (log.f64 (PI.f64)))
(fma.f64 (sqrt.f64 (log.f64 (PI.f64))) (sqrt.f64 (log.f64 (PI.f64))) (log.f64 (/.f64 4 f)))
(fma.f64 -1 (log.f64 (PI.f64)) (log.f64 (/.f64 4 f)))
(+.f64 (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64)))) -1)
(-.f64 (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64)))) 1)
(.f64 4 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64)))
(.f64 (.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64))) 1)
(.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64)))) 2) (cbrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (*.f64 4 (PI.f64))))
(.f64 (.f64 2 (sqrt.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) (.f64 2 (sqrt.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(.f64 (.f64 2 (sqrt.f64 (PI.f64))) (.f64 (.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (*.f64 4 (PI.f64))))
(.f64 -4 (/.f64 1 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 4)
(.f64 (.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 2 (sqrt.f64 (PI.f64)))) (*.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (.f64 (.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (/.f64 4 (neg.f64 (PI.f64))) (log.f64 (.f64 (*.f64 f (PI.f64)) 1/4)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 4 (neg.f64 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 1 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1/4))
(/.f64 1 (/.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1/4) 1))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(/.f64 (.f64 4 (PI.f64)) (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 -1 (neg.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1/4)))
(/.f64 -4 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))
(/.f64 (neg.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64)))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64)))) (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64))))) (+.f64 1 (.f64 (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64)))) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64)))) (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64))))) 1) (+.f64 (+.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64)))) 1))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -4) (neg.f64 (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2)) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(/.f64 (/.f64 4 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1) (PI.f64))
(/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (.f64 2 (sqrt.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 2)
(pow.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1/4) -1)
(sqrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (*.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 4 (PI.f64))) 1))

simplify175.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1258×	`log-prod`
824×	`associate-r`
726×	`associate-l`
566×	`fma-neg`
480×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	605	15849
1	1454	14109
2	6169	14109

Stop Event

1×	node limit

Counts

453 → 374

Calls

Call 1

Inputs
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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Outputs
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(exp.f64 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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eval490.0ms (1.2%)

Compiler: Compiled 23129 to 16349 computations (29.3% saved)

prune139.0ms (0.3%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1418	2	1420
Fresh	0	7	7
Picked	1	4	5
Done	0	4	4
Total	1419	17	1436

Accurracy

99.6%

Counts

1436 → 17

Alt Table

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Status	Accuracy	Program
	46.1%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2))
	47.7%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))) 1/4))
✓	47.9%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
✓	8.9%	(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))
✓	47.9%	(neg.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))) 1/4))
	45.7%	(neg.f64 (/.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1/4))
✓	47.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	47.8%	(neg.f64 (/.f64 4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))
	47.9%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
✓	8.9%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
✓	54.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
✓	47.9%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	47.9%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
	45.6%	(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
	39.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
✓	45.6%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	45.7%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))

Compiler

Compiled 657 to 513 computations (21.9% saved)

regimes100.0ms (0.2%)

Counts

32 → 2

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(neg.f64 (/.f64 4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (.f64 4 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (.f64 4 (/.f64 1 f))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (/.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1/4))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))) 1/4))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 1))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (cbrt.f64 f)))) (*.f64 2 (log.f64 (cbrt.f64 f))))))
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))

Calls

6 calls:

29.0ms	f
26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
10.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
99.4%	2	`f`
99.4%	2	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
99.4%	2	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
99.4%	2	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
99.4%	2	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
99.4%	2	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 587 to 439 computations (25.2% saved)

regimes10.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))

Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`f`

Compiler

Compiled 57 to 47 computations (17.5% saved)

regimes10.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))

Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1)))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
60.3%	2	`f`

Compiler

Compiled 35 to 31 computations (11.4% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
(neg.f64 (/.f64 (/.f64 (log.f64 262144) (PI.f64)) 1/4))

Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
8.9%	1	`f`

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.339471914955614e-12	187.34680634452673

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch69.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	4.251947700653948e-12	238.5373624176919

Results

65.0ms

160×

body

256

valid

Compiler

Compiled 282 to 253 computations (10.3% saved)

bsearch138.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
138.0ms	4.251947700653948e-12	238.5373624176919

Results

59.0ms	48×	body	1024	valid
39.0ms	48×	body	512	valid
37.0ms	64×	body	256	valid

Compiler

Compiled 242 to 233 computations (3.7% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

66×	`neg-mul-1`
48×	`distribute-lft-neg-in`
40×	`distribute-rgt-neg-in`
36×	`unsub-neg`
36×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	236
1	72	236
2	107	224
3	134	224
4	155	224
5	213	224
6	271	224

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6189700196426901/1237940039285380274899124224) (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1/4)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 5/4) (neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 225) (neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 262144))) (neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))

Outputs
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6189700196426901/1237940039285380274899124224) (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1/4)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6189700196426901/1237940039285380274899124224) (/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1/4) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6189700196426901/1237940039285380274899124224) (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1/4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 6189700196426901/1237940039285380274899124224) (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1/4)) (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 5/4) (neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 5/4) (.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5/4) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 5/4) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(if (<=.f64 f 225) (neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 262144))) (neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1))))
(if (<=.f64 f 225) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 262144))) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 0)))
(if (<=.f64 f 225) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 262144))) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 262144)))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 262144)))

Compiler

Compiled 77 to 66 computations (14.3% saved)

soundness986.0ms (2.3%)

Rules

1838×	`log-prod`
1838×	`log-prod`
1838×	`log-prod`
1798×	`prod-diff`
1478×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	3252
1	405	3008
2	1681	2748
0	21	132
1	442	132
2	5120	132
0	16	220
1	353	220
2	5915	220
0	16	220
1	353	220
2	5915	220
0	21	132
1	442	132
2	5120	132
0	696	15907
1	1684	14747
2	6633	14613
0	21	132
1	442	132
2	5120	132
0	25	306
1	534	304
2	6180	304

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	unsound
1×	unsound
1×	node limit
1×	node limit

Compiler

Compiled 604 to 483 computations (20% saved)

end65.0ms (0.2%)

Compiler: Compiled 224 to 180 computations (19.6% saved)

Details

analyze2.2s (5.3%)

sample22.4s (53%)

preprocess71.0ms (0.2%)

simplify65.0ms (0.2%)

eval4.0ms (0%)

prune3.0ms (0%)

localize1.7s (4.1%)

series72.0ms (0.2%)

rewrite42.0ms (0.1%)

simplify60.0ms (0.1%)

eval57.0ms (0.1%)

prune14.0ms (0%)

localize758.0ms (1.8%)

series96.0ms (0.2%)

rewrite132.0ms (0.3%)

simplify193.0ms (0.5%)

eval161.0ms (0.4%)

prune170.0ms (0.4%)

localize4.6s (10.9%)

series102.0ms (0.2%)

rewrite281.0ms (0.7%)

simplify374.0ms (0.9%)

eval444.0ms (1.1%)

prune237.0ms (0.6%)

localize5.6s (13.2%)

series44.0ms (0.1%)

rewrite134.0ms (0.3%)

simplify175.0ms (0.4%)

eval490.0ms (1.2%)

prune139.0ms (0.3%)

regimes100.0ms (0.2%)

regimes10.0ms (0%)

regimes10.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch69.0ms (0.2%)

bsearch138.0ms (0.3%)

simplify10.0ms (0%)

soundness986.0ms (2.3%)

end65.0ms (0.2%)

Profiling