Metrics for VandenBroeck and Keller, Equation (20)

analyze420.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
25%	25%	75%	0%	0%	0%	0%	4
25%	25%	75%	0%	0%	0%	0%	5
29%	28.1%	68.7%	0%	0%	3.1%	0%	6
29%	28.1%	68.7%	0%	0%	3.1%	0%	7
29%	28.1%	68.7%	0%	0%	3.1%	0%	8
29.1%	28.1%	68.3%	0%	0%	3.5%	0%	9
29.2%	28.1%	68.1%	0%	0%	3.7%	0%	10
29.2%	28.1%	68%	0%	0%	3.8%	0%	11
29.2%	28.1%	68%	0%	0%	3.8%	0%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample18.0s (61.8%)

Results

8.5s	7893×	body	8192	exit
2.6s	3999×	body	1024	valid
2.2s	4086×	body	1024	invalid
1.5s	7841×	body	256	unsamplable
847.0ms	2024×	body	512	valid
773.0ms	1708×	body	256	valid
728.0ms	2040×	body	512	invalid
592.0ms	525×	body	2048	valid
184.0ms	986×	body	256	invalid
6.0ms	8×	body	2048	invalid

Bogosity

preprocess342.0ms (1.2%)

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)

simplify72.0ms (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)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	5	3	8

Accurracy

7.2%

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(.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)))
▶	7.2%	(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))))))))
▶	7.2%	(.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)))
▶	7.2%	(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))))))))

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize1.6s (5.5%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(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))))))
✓	99.3%	(.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)))
✓	97.7%	(/.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)))))
✓	11.7%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
✓	99.5%	(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))))))
✓	99.3%	(.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)))))))
✓	97.7%	(/.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)))))
✓	11.7%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 343 to 237 computations (30.9% saved)

series178.0ms (0.6%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
37.0ms	f	@	inf	(.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)))))))
32.0ms	f	@	-inf	(.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)))))))
32.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
21.0ms	f	@	inf	(.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)))
21.0ms	f	@	-inf	(.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)))

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`add-sqr-sqrt`
656×	`pow1`
654×	`*-un-lft-identity`
634×	`add-exp-log`
630×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	200
1	702	200

Stop Event

1×	node limit

Counts

8 → 288

Calls

Call 1

Inputs
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
(/.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 (/.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)))))))
(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 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.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 (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)))
(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))))))

Outputs
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
f

simplify112.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1700×	`fma-def`
1620×	`times-frac`
946×	`distribute-rgt-in`
946×	`distribute-lft-in`
740×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	9380
1	548	8540
2	2065	7932

Stop Event

1×	node limit

Counts

384 → 119

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(.f64 (PI.f64) (.f64 1/2 f))
(.f64 (PI.f64) (.f64 f 1/2))
(+.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)))))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 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))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))
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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 (PI.f64) 1/2) (.f64 f (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))) (neg.f64 (log.f64 f)))))
(+.f64 (-.f64 (.f64 f (.f64 (PI.f64) 0)) (log.f64 f)) (fma.f64 (.f64 f (.f64 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 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0)))) 1/2 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))))
(-.f64 (fma.f64 (.f64 f f) (.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) 0) 1/2) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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)))))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144

eval92.0ms (0.3%)

Compiler: Compiled 5356 to 4035 computations (24.7% saved)

prune51.0ms (0.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	106	13	119
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	108	13	121

Accurracy

97.4%

Counts

121 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
	7.2%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
▶	95.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
▶	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
▶	96.2%	(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)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
	95.9%	(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	7.1%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	95.2%	(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 (*.f64 (PI.f64) 1/2) f)))))
▶	1.6%	(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)))) 262144))))
	1.6%	(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)))) 4096))))
	1.7%	(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)))) 4))))
▶	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
	95.2%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
	7.2%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
▶	95.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
▶	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
▶	96.2%	(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)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
	95.9%	(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	7.1%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	95.2%	(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 (*.f64 (PI.f64) 1/2) f)))))
▶	1.6%	(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)))) 262144))))
	1.6%	(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)))) 4096))))
	1.7%	(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)))) 4))))
▶	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))

Compiler

Compiled 1428 to 1152 computations (19.3% saved)

localize824.0ms (2.8%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
✓	98.4%	(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
✓	100.0%	(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	98.5%	(.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)))) 262144)))
✓	98.1%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
✓	99.7%	(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	100.0%	(log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))
✓	99.6%	(.f64 (.f64 (PI.f64) 1/2) f)
✓	99.5%	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
✓	99.3%	(.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)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(pow.f64 (PI.f64) 5)
✓	98.1%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))

Compiler

Compiled 775 to 582 computations (24.9% saved)

series181.0ms (0.6%)

Counts

19 → 144

Calls

36 calls:

Time	Variable		Point	Expression
62.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
18.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
18.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
17.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
16.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))

rewrite139.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`pow1`
1098×	`add-exp-log`
1088×	`add-log-exp`
1084×	`log1p-expm1-u`
1084×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	599
1	1314	599

Stop Event

1×	node limit

Counts

19 → 169

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))
(pow.f64 (PI.f64) 5)
(pow.f64 (PI.f64) 3)
(.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)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(.f64 (.f64 (PI.f64) 1/2) f)
(log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
(.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)))) 262144)))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1))

Outputs
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(*.f64 1 (pow.f64 (PI.f64) 5))
(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 5))) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 5)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 5))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(.f64 1 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 2 (/.f64 1 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) 1)
(log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 1)
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) (.f64 f 1/2))))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f))
(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (+.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (cbrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (neg.f64 (log.f64 f)))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (+.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144))
(.f64 1 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))) (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)))) (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
(.f64 (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))) (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/262144))))
(pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
(exp.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
(log1p.f64 (expm1.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
(/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) 1/4) f) (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(.f64 1 (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) (cbrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) (sqrt.f64 (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(/.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(pow.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))) 1)
(log.f64 (exp.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(expm1.f64 (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(log1p.f64 (expm1.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/48) (.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 (.f64 (PI.f64) 1/48) -2) (.f64 (.f64 (PI.f64) 1/16) 2))
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)) 1)
(log.f64 (exp.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))

simplify191.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-r`
1032×	`associate-l`
708×	`times-frac`
704×	`associate-/r*`
642×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	615	16399
1	1517	13979
2	7962	13967

Stop Event

1×	node limit

Counts

313 → 332

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(*.f64 1 (pow.f64 (PI.f64) 5))
(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 5))) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 5)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 5))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(.f64 1 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 2 (/.f64 1 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) 1)
(log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 1)
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) (.f64 f 1/2))))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))))
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(-.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f))
(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
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(/.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (cbrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
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(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
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(/.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))
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(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 262144))
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(expm1.f64 (log1p.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
(exp.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
(log1p.f64 (expm1.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144))))
(/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 1)
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) 1/4) f) (.f64 (.f64 (PI.f64) 1/4) f)) (.f64 (.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(.f64 1 (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) (cbrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) (cbrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) (sqrt.f64 (exp.f64 (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))
(/.f64 1 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))
(pow.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))) 1)
(log.f64 (exp.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(expm1.f64 (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(log1p.f64 (expm1.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/48) (.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 (.f64 (PI.f64) 1/48) -2) (.f64 (.f64 (PI.f64) 1/16) 2))
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)) 1)
(log.f64 (exp.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))

Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 1/2 (.f64 f (.f64 (PI.f64) 0)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (*.f64 f 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (.f64 f (.f64 (PI.f64) 0)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (.f64 3/2 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -3/4 (.f64 (.f64 (PI.f64) 0) (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (fma.f64 3/2 (.f64 (PI.f64) (+.f64 (/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 0)) (PI.f64)) (.f64 -1/48 (.f64 (PI.f64) (.f64 (PI.f64) 0))))) (.f64 1/4 (pow.f64 (.f64 (PI.f64) 0) 3))))) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (.f64 f (*.f64 (PI.f64) 0)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 3/2 (+.f64 (.f64 (PI.f64) (/.f64 0 (PI.f64))) 0) 0)) (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0))))
(+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))
(fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 (log.f64 f) -5) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (/.f64 320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 (log.f64 f) -5) (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (pow.f64 (PI.f64) 5)))) (/.f64 -320 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (pow.f64 (PI.f64) 5)))) (fma.f64 (log.f64 f) -5 (/.f64 -320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (fma.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) -4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))))) (/.f64 320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/24 (/.f64 (fma.f64 -1/2560 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (pow.f64 (PI.f64) 9)) -4404019200))) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 (log.f64 f) -5) (/.f64 -320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)))))
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(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) 1)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(cbrt.f64 (.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))))))
(cbrt.f64 (pow.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(*.f64 1 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 5))) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(pow.f64 (PI.f64) 5)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 5)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 10)))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 5))
(pow.f64 (PI.f64) 5)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 1 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 2 (/.f64 1 (.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(cbrt.f64 (.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)) (.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)) (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 1)
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 (PI.f64) 1/2))
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) (.f64 f 1/2))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 f 1/2) (*.f64 f 1/2)))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (+.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 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 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 f)))
(/.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
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(cbrt.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3))
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(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
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(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))
(log.f64 (/.f64 4 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (cbrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log.f64 (/.f64 4 (PI.f64)))
(.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log.f64 (/.f64 4 (PI.f64)))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1)
(log.f64 (/.f64 4 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log.f64 (/.f64 4 (PI.f64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log.f64 (/.f64 4 (PI.f64)))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log.f64 (/.f64 4 (PI.f64)))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
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(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(cbrt.f64 (.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24)) (.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24)) (+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)

eval362.0ms (1.2%)

Compiler: Compiled 18176 to 13616 computations (25.1% saved)

prune136.0ms (0.5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	383	24	407
Fresh	2	6	8
Picked	5	0	5
Done	0	0	0
Total	390	30	420

Accurracy

97.6%

Counts

420 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.2%	(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
▶	96.3%	(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
▶	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	94.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
▶	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
	95.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
	95.9%	(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	7.1%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(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)))) 4096))))
	1.7%	(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)))) 4))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	5.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	29.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3)))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
▶	93.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
	95.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	93.9%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.7%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
	94.7%	(neg.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))))))
	7.2%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.2%	(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
▶	96.3%	(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
▶	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	94.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
▶	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
	95.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
	93.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
	95.9%	(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	7.1%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(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)))) 4096))))
	1.7%	(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)))) 4))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	5.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	29.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3)))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
▶	93.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
	95.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	93.9%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.7%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
	94.7%	(neg.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))))))

Compiler

Compiled 2712 to 2240 computations (17.4% saved)

localize875.0ms (3%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
✓	99.2%	(*.f64 (log.f64 f) (log.f64 f))
✓	97.0%	(PI.f64)
✓	97.0%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.5%	(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))))
✓	98.3%	(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
✓	97.0%	(PI.f64)
✓	99.6%	(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
✓	99.5%	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
✓	97.0%	(PI.f64)
	97.0%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	98.5%	(/.f64 (log.f64 1/131072) (PI.f64))
✓	97.0%	(PI.f64)
✓	99.5%	(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
	98.5%	(pow.f64 (PI.f64) 5)
	98.5%	(pow.f64 (PI.f64) 3)
✓	97.0%	(PI.f64)

Compiler

Compiled 568 to 405 computations (28.7% saved)

series23.0ms (0.1%)

Counts

15 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	f	@	inf	(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
6.0ms	f	@	-inf	(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
3.0ms	f	@	0	(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
1.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
1.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`pow1`
1148×	`add-exp-log`
1136×	`log1p-expm1-u`
1136×	`expm1-log1p-u`
1130×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	401
1	1307	401

Stop Event

1×	node limit

Counts

15 → 137

Calls

Call 1

Inputs
(PI.f64)
(/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(PI.f64)
(/.f64 (log.f64 1/131072) (PI.f64))
(PI.f64)
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(PI.f64)
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(log.f64 (/.f64 4 (PI.f64)))
(PI.f64)
(*.f64 (log.f64 f) (log.f64 f))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))

Outputs
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))
(.f64 1 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (/.f64 4 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))) (cbrt.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64))))) (cbrt.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (/.f64 4 (PI.f64)))))
(pow.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64))) 1)
(log.f64 (exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64))) (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))) (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64)))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 1/131072) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(pow.f64 (/.f64 (log.f64 1/131072) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (/.f64 (log.f64 1/131072) (PI.f64))) (/.f64 (log.f64 1/131072) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 4 (PI.f64))) 1)
(log.f64 (exp.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 4 (PI.f64))) (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 4 (PI.f64)))) (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 4 (PI.f64)))))
(.f64 2 (/.f64 1 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 1 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) 1)
(log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (log.f64 (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (log.f64 f) 2)
(pow.f64 (pow.f64 (log.f64 f) 2) 1)
(log.f64 (exp.f64 (pow.f64 (log.f64 f) 2)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 f) 2)) (pow.f64 (log.f64 f) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 f) 2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 f) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 f) 2)))
(/.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 f (/.f64 4 (PI.f64))))))
(/.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))))) (.f64 (PI.f64) 1/4))
(/.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 f (/.f64 4 (PI.f64)))))
(pow.f64 (.f64 (/.f64 4 (PI.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)))))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.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))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.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)))))) (.f64 (/.f64 4 (PI.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))))))) (.f64 (/.f64 4 (PI.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))))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.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))))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.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))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.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))))))))

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

908×	`associate-r`
874×	`associate-l`
680×	`log-prod`
666×	`associate-/r*`
536×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	10775
1	1176	9713
2	6013	9713

Stop Event

1×	node limit

Counts

233 → 211

Calls

Call 1

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

Outputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 2 (.f64 (.f64 f f) (.f64 (PI.f64) 1/24)) (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (.f64 (PI.f64) 1/24) (.f64 (.f64 2 f) f)))
(+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
(fma.f64 2 (.f64 (.f64 f f) (.f64 (PI.f64) 1/24)) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 -2 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))))))
(fma.f64 2 (.f64 f (.f64 f (.f64 (PI.f64) 1/24))) (fma.f64 -2 (.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(+.f64 (.f64 2 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 4) (+.f64 (.f64 -3 (.f64 (pow.f64 (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))) 2) (pow.f64 (PI.f64) 2))) (.f64 12 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))) (PI.f64))) (+.f64 (.f64 1/96 (.f64 (-.f64 (.f64 1/16 (PI.f64)) (.f64 1/48 (PI.f64))) (pow.f64 (PI.f64) 2))) (.f64 1/15360 (pow.f64 (PI.f64) 3)))) (PI.f64))))) (PI.f64))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))))))
(fma.f64 2 (.f64 (.f64 f f) (.f64 (PI.f64) 1/24)) (fma.f64 1/6 (/.f64 (pow.f64 f 4) (/.f64 (PI.f64) (fma.f64 -3 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (.f64 (PI.f64) 1/24) 2)) (.f64 (.f64 12 (-.f64 (neg.f64 (/.f64 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192)))))) (PI.f64))) (fma.f64 1/96 (.f64 (.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/15360)))) (PI.f64))))) (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 -2 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))))))))
(fma.f64 2 (.f64 f (.f64 f (.f64 (PI.f64) 1/24))) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 f 4) (PI.f64)) (fma.f64 -3 (.f64 (.f64 (PI.f64) 1/24) (.f64 (pow.f64 (PI.f64) 3) 1/24)) (.f64 (PI.f64) (.f64 12 (-.f64 (/.f64 (neg.f64 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 4) -1/32) (fma.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/192))) (.f64 -1/1536 (pow.f64 (PI.f64) 4))))) (PI.f64)) (fma.f64 1/96 (.f64 (pow.f64 (PI.f64) 3) 1/24) (.f64 (pow.f64 (PI.f64) 3) 1/15360))))))) (fma.f64 -2 (.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (.f64 4 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (neg.f64 (log.f64 f))))) (PI.f64))
(/.f64 (.f64 4 (+.f64 (log.f64 (/.f64 61440 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))) (*.f64 (log.f64 f) -5))) (PI.f64))
(/.f64 (.f64 4 (+.f64 (log.f64 (/.f64 61440 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))) (*.f64 (log.f64 f) -5))) (PI.f64))
(-.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (/.f64 (.f64 4 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (neg.f64 (log.f64 f))))) (PI.f64)) (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 61440 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))) (.f64 (log.f64 f) -5)) (PI.f64)) (/.f64 -1280 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 61440 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))))) (.f64 (log.f64 f) -5)) (PI.f64)) (/.f64 -1280 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 1/6 (/.f64 (-.f64 (.f64 -1/1280 (/.f64 (.f64 (+.f64 (.f64 -3145728000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 943718400 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (.f64 (pow.f64 f 4) (PI.f64))))) (.f64 1280 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (neg.f64 (log.f64 f)))) (PI.f64)) (.f64 1/6 (/.f64 (fma.f64 -1/1280 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (pow.f64 (PI.f64) 9)) -2202009600) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (pow.f64 (PI.f64) 5))) (neg.f64 (/.f64 1228800 (pow.f64 (PI.f64) 4)))) (.f64 (PI.f64) (pow.f64 f 4))))) (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 61440 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))) (.f64 (log.f64 f) -5)) (PI.f64)) (fma.f64 1/6 (/.f64 (fma.f64 -1/1280 (.f64 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) -2202009600) (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (.f64 (PI.f64) (pow.f64 f 4))) (/.f64 -1280 (.f64 f (*.f64 f (pow.f64 (PI.f64) 3))))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
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(/.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 f 4) (PI.f64)))))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 (/.f64 f (PI.f64)) 4))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.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))))))))
(/.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 f 4) (PI.f64)))))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 (/.f64 f (PI.f64)) 4))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.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))))))))
(/.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 f 4) (PI.f64)))))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 (/.f64 f (PI.f64)) 4))))

eval330.0ms (1.1%)

Compiler: Compiled 13193 to 9606 computations (27.2% saved)

prune156.0ms (0.5%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	361	15	376
Fresh	7	18	25
Picked	3	2	5
Done	0	0	0
Total	371	35	406

Accurracy

97.6%

Counts

406 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
✓	96.3%	(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
▶	94.5%	(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	95.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	95.1%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
	88.5%	(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
▶	94.1%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
	94.5%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
	95.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
	93.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	96.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
	95.9%	(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	7.1%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(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)))) 4096))))
	1.7%	(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)))) 4))))
	5.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	29.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3)))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	93.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
	95.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	95.2%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
▶	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
▶	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	93.9%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3)))
	7.2%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
✓	96.3%	(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
▶	94.5%	(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	95.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	95.1%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
	88.5%	(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
▶	94.1%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
	94.5%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
	95.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
	93.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	96.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
	95.9%	(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	7.1%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(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)))) 4096))))
	1.7%	(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)))) 4))))
	5.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	29.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3)))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	93.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
	95.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	95.2%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
▶	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
▶	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	93.9%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3)))

Compiler

Compiled 2646 to 2222 computations (16% saved)

localize662.0ms (2.3%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(cbrt.f64 (pow.f64 (PI.f64) 3))
	98.5%	(pow.f64 (PI.f64) 3)
	97.0%	(PI.f64)
	97.0%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	99.5%	(/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))
✓	99.4%	(/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)
✓	98.5%	(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
	97.0%	(PI.f64)
✓	99.6%	(.f64 (PI.f64) (.f64 f 1/4))
✓	98.5%	(/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
	97.0%	(PI.f64)
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.5%	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
	97.0%	(PI.f64)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))
	98.5%	(pow.f64 (PI.f64) 5)
	98.5%	(pow.f64 (PI.f64) 3)
	97.0%	(PI.f64)

Compiler

Compiled 556 to 405 computations (27.2% saved)

series50.0ms (0.2%)

Counts

10 → 84

Calls

27 calls:

Time	Variable		Point	Expression
20.0ms	f	@	-inf	(/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
19.0ms	f	@	inf	(/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
2.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))
2.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))
2.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`add-sqr-sqrt`
992×	`pow1`
970×	`add-exp-log`
958×	`log1p-expm1-u`
958×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	294
1	1164	294

Stop Event

1×	node limit

Counts

10 → 91

Calls

Call 1

Inputs
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/4))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)
(/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))
(cbrt.f64 (pow.f64 (PI.f64) 3))

Outputs
(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (.f64 (PI.f64) 1/4))))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 (.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (*.f64 (PI.f64) f) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(.f64 1 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (PI.f64)))
(.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (/.f64 1 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (PI.f64)) (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (PI.f64))) (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))
(pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 1)
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) (.f64 1/4 f))))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(cbrt.f64 (.f64 (.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1606×	`fma-def`
918×	`distribute-lft-in`
654×	`associate-r`
610×	`associate-l`
498×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	7227
1	842	6615
2	3826	6525

Stop Event

1×	node limit

Counts

175 → 170

Calls

Call 1

Inputs
(.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64))) (.f64 4 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/32 (PI.f64)) (.f64 1/96 (PI.f64))))))
(+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64))) (+.f64 (.f64 4 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/32 (PI.f64)) (.f64 1/96 (PI.f64))))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
(+.f64 (.f64 4 (.f64 (pow.f64 f 4) (-.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (.f64 -3/256 (pow.f64 (PI.f64) 4))) (PI.f64))) (.f64 1/24 (/.f64 (+.f64 (.f64 1/1280 (pow.f64 (PI.f64) 4)) (.f64 -1/768 (pow.f64 (PI.f64) 4))) (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64))) (+.f64 (.f64 4 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/32 (PI.f64)) (.f64 1/96 (PI.f64))))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))))))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)))
(-.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64))) (.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64))) (.f64 81920 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64))) (.f64 81920 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 13107200/3 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)))
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(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(cbrt.f64 (.f64 (.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))

Outputs
(.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (.f64 4 (-.f64 (-.f64 (log.f64 2) (log.f64 (.f64 1/2 (PI.f64)))) (log.f64 f))) (PI.f64))
(.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 1/2) (log.f64 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (-.f64 (-.f64 (log.f64 2) (log.f64 (.f64 1/2 (PI.f64)))) (log.f64 f)))
(+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64))) (.f64 4 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/32 (PI.f64)) (.f64 1/96 (PI.f64))))))
(.f64 4 (+.f64 (/.f64 (-.f64 (-.f64 (log.f64 2) (log.f64 (.f64 1/2 (PI.f64)))) (log.f64 f)) (PI.f64)) (.f64 (.f64 f f) (*.f64 (PI.f64) 1/48))))
(.f64 4 (+.f64 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 1/2) (log.f64 (.f64 (PI.f64) f)))) (PI.f64)) (.f64 f (.f64 f (*.f64 (PI.f64) 1/48)))))
(.f64 4 (fma.f64 (PI.f64) (.f64 1/48 (.f64 f f)) (/.f64 (-.f64 (-.f64 (log.f64 2) (log.f64 (.f64 1/2 (PI.f64)))) (log.f64 f)) (PI.f64))))
(+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64))) (+.f64 (.f64 4 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/32 (PI.f64)) (.f64 1/96 (PI.f64))))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64)))))
(fma.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 2) (log.f64 (.f64 1/2 (PI.f64)))) (log.f64 f)) (PI.f64)) (fma.f64 4 (.f64 (.f64 f f) (.f64 (PI.f64) 1/48)) (.f64 -2 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))))))
(fma.f64 4 (+.f64 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 1/2) (log.f64 (.f64 (PI.f64) f)))) (PI.f64)) (.f64 f (.f64 f (.f64 (PI.f64) 1/48)))) (.f64 -2 (.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 -1/128 (pow.f64 (PI.f64) 3))))))
(fma.f64 4 (fma.f64 (PI.f64) (.f64 1/48 (.f64 f f)) (/.f64 (-.f64 (-.f64 (log.f64 2) (log.f64 (.f64 1/2 (PI.f64)))) (log.f64 f)) (PI.f64))) (.f64 -2 (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (/.f64 (pow.f64 f 3) (PI.f64)))))
(+.f64 (.f64 4 (.f64 (pow.f64 f 4) (-.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (.f64 -3/256 (pow.f64 (PI.f64) 4))) (PI.f64))) (.f64 1/24 (/.f64 (+.f64 (.f64 1/1280 (pow.f64 (PI.f64) 4)) (.f64 -1/768 (pow.f64 (PI.f64) 4))) (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (log.f64 f))) (PI.f64))) (+.f64 (.f64 4 (.f64 (pow.f64 f 2) (-.f64 (.f64 1/32 (PI.f64)) (.f64 1/96 (PI.f64))))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (PI.f64))))))
(fma.f64 4 (.f64 (pow.f64 f 4) (.f64 1/24 (-.f64 (/.f64 (fma.f64 -12 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192)))))) (.f64 (pow.f64 (PI.f64) 4) -3/256)) (PI.f64)) (/.f64 (.f64 (pow.f64 (PI.f64) 4) -1/1920) (PI.f64))))) (fma.f64 4 (/.f64 (-.f64 (-.f64 (log.f64 2) (log.f64 (.f64 1/2 (PI.f64)))) (log.f64 f)) (PI.f64)) (fma.f64 4 (.f64 (.f64 f f) (.f64 (PI.f64) 1/48)) (.f64 -2 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))))))))
(fma.f64 4 (.f64 1/24 (.f64 (-.f64 (/.f64 (fma.f64 -12 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 4) -1/32) (fma.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/192))) (.f64 -1/1536 (pow.f64 (PI.f64) 4)))) (.f64 (pow.f64 (PI.f64) 4) -3/256)) (PI.f64)) (/.f64 (pow.f64 (PI.f64) 4) (/.f64 (PI.f64) -1/1920))) (pow.f64 f 4))) (fma.f64 4 (+.f64 (/.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 1/2) (log.f64 (.f64 (PI.f64) f)))) (PI.f64)) (.f64 f (.f64 f (.f64 (PI.f64) 1/48)))) (.f64 -2 (.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 -1/128 (pow.f64 (PI.f64) 3)))))))
(fma.f64 4 (.f64 1/24 (.f64 (+.f64 (/.f64 (fma.f64 -12 (fma.f64 (PI.f64) (.f64 -1/4 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/192))) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 4) 1/1024))) (.f64 (pow.f64 (PI.f64) 4) -3/256)) (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 4) (PI.f64)) 1/1920)) (pow.f64 f 4))) (fma.f64 4 (fma.f64 (PI.f64) (.f64 1/48 (.f64 f f)) (/.f64 (-.f64 (-.f64 (log.f64 2) (log.f64 (.f64 1/2 (PI.f64)))) (log.f64 f)) (PI.f64))) (.f64 -2 (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (/.f64 (pow.f64 f 3) (PI.f64))))))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (fma.f64 -5 (neg.f64 (log.f64 f)) (log.f64 (*.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) (fma.f64 -5 (neg.f64 (log.f64 f)) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (fma.f64 (log.f64 f) 5 (fma.f64 5 (log.f64 (PI.f64)) (log.f64 1/61440)))))
(-.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64))) (.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (fma.f64 -5 (neg.f64 (log.f64 f)) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64))) (/.f64 1280 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) (fma.f64 -5 (neg.f64 (log.f64 f)) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)) (/.f64 -1280 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4)))) (fma.f64 (log.f64 f) 5 (fma.f64 5 (log.f64 (PI.f64)) (log.f64 1/61440)))) (/.f64 -1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64))) (.f64 81920 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (fma.f64 -5 (neg.f64 (log.f64 f)) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)) (/.f64 81920 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (/.f64 1280 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) (fma.f64 -5 (neg.f64 (log.f64 f)) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)) (/.f64 81920 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (/.f64 -1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4)))) (fma.f64 (log.f64 f) 5 (fma.f64 5 (log.f64 (PI.f64)) (log.f64 1/61440)))) (+.f64 (/.f64 81920 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (/.f64 -1280 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64))) (.f64 81920 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 13107200/3 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 1280 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (fma.f64 -5 (neg.f64 (log.f64 f)) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)) (/.f64 81920 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 13107200/3 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) (fma.f64 -5 (neg.f64 (log.f64 f)) (log.f64 (.f64 1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)) (-.f64 (-.f64 (/.f64 81920 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (/.f64 13107200/3 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (/.f64 1280 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(fma.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4)))) (fma.f64 (log.f64 f) 5 (fma.f64 5 (log.f64 (PI.f64)) (log.f64 1/61440)))) (+.f64 (/.f64 81920 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 -13107200/3 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (+.f64 (.f64 -5 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/61440 (pow.f64 (PI.f64) 5))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (exp.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (fma.f64 -5 (log.f64 (/.f64 -1 f)) (log.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/61440)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) (fma.f64 -5 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (pow.f64 (PI.f64) 5) -1/61440)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (fma.f64 -5 (log.f64 (/.f64 -1 f)) (fma.f64 5 (log.f64 (PI.f64)) (log.f64 -1/61440)))) (PI.f64)))
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(/.f64 4 (*.f64 (PI.f64) f))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (.f64 (.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 1 (PI.f64))
(PI.f64)
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)

eval574.0ms (2%)

Compiler: Compiled 25088 to 18362 computations (26.8% saved)

prune114.0ms (0.4%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	883	11	894
Fresh	6	22	28
Picked	2	3	5
Done	1	1	2
Total	892	37	929

Accurracy

97.6%

Counts

929 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	96.3%	(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192 (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 (PI.f64) (.f64 1/2 f))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	95.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	95.2%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	95.1%	(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	94.1%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
	95.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
	93.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
✓	96.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
	95.9%	(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	7.1%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(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)))) 4096))))
	1.7%	(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)))) 4))))
	5.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
	93.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
	95.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	95.2%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
	94.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
✓	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
	5.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (log.f64 (exp.f64 (.f64 (PI.f64) f))))) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (PI.f64))))
✓	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
	3.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (+.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (.f64 (.f64 1/32 (.f64 f f)) (PI.f64)))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	94.1%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	94.1%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	93.9%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3)))

Compiler

Compiled 1983 to 1553 computations (21.7% saved)

regimes125.0ms (0.4%)

Counts

65 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (+.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (.f64 (.f64 1/32 (.f64 f f)) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (log.f64 (exp.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.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)))) 4))))
(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)))) 4096))))
(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)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(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 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(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))))))))
(neg.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192 (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 (PI.f64) (.f64 1/2 f))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(.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)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))))))
(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)))) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))

Outputs

(neg.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192 (fma.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (*.f64 (PI.f64) (*.f64 1/2 f))))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))

Calls

6 calls:

34.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
31.0ms	f
8.0ms	(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))))))
7.0ms	(.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)))))))
7.0ms	(/.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
96.3%	1	`f`
96.3%	1	`(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))))))))`
96.3%	1	`(.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)))))))`
96.3%	1	`(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))))))`
96.3%	1	`(/.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)))))`
96.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1434 to 1087 computations (24.2% saved)

regimes101.0ms (0.3%)

Counts

59 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (+.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (.f64 (.f64 1/32 (.f64 f f)) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (log.f64 (exp.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.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)))) 4))))
(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)))) 4096))))
(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)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(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 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(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))))))))
(neg.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))

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)))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))))

Calls

6 calls:

25.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
23.0ms	f
7.0ms	(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))))))
7.0ms	(/.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)))))
7.0ms	(.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)))))))

Results

Accuracy	Segments	Branch
95.9%	1	`f`
95.9%	1	`(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))))))))`
95.9%	1	`(.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)))))))`
95.9%	1	`(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))))))`
95.9%	1	`(/.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)))))`
95.9%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1206 to 918 computations (23.9% saved)

regimes96.0ms (0.3%)

Counts

57 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (+.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (.f64 (.f64 1/32 (.f64 f f)) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (log.f64 (exp.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.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)))) 4))))
(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)))) 4096))))
(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)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(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 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(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))))))))
(neg.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))

Calls

6 calls:

24.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
22.0ms	f
7.0ms	(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
95.9%	1	`f`
95.9%	1	`(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))))))))`
95.9%	1	`(.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)))))))`
95.9%	1	`(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))))))`
95.9%	1	`(/.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)))))`
95.9%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1133 to 864 computations (23.7% saved)

regimes31.0ms (0.1%)

Counts

43 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (+.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (.f64 (.f64 1/32 (.f64 f f)) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (log.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (log.f64 (exp.f64 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (/.f64 4 (log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 f 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))))

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
95.2%	1	`f`

Compiler

Compiled 597 to 457 computations (23.5% saved)

regimes13.0ms (0%)

Counts

13 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (+.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (.f64 (.f64 1/32 (.f64 f f)) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
95.2%	1	`f`

Compiler

Compiled 162 to 125 computations (22.8% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
95.2%	1	`f`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))

Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 10 to 9 computations (10% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

322×	`unsub-neg`
262×	`neg-mul-1`
102×	`distribute-neg-out`
98×	`*-commutative`
94×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	443
1	152	443
2	226	443
3	274	431
4	315	431
5	448	431
6	610	431
7	743	431
8	873	431

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192 (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 (PI.f64) (.f64 1/2 f))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))

Outputs
(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192 (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 (PI.f64) (.f64 1/2 f))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192 (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 (PI.f64) (.f64 f 1/2))))) (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(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)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (neg.f64 4))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (neg.f64 4))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (neg.f64 4))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 1/131072) (PI.f64)))
(*.f64 4 (/.f64 (neg.f64 (log.f64 1/131072)) (PI.f64)))

Compiler

Compiled 138 to 112 computations (18.8% saved)

soundness2.6s (8.9%)

Rules

1700×	`fma-def`
1700×	`fma-def`
1700×	`fma-def`
1700×	`fma-def`
1620×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	9380
1	548	8540
2	2065	7932
0	60	599
1	1314	599
0	55	294
1	1164	294
0	352	7227
1	842	6615
2	3826	6525
0	32	200
1	702	200
0	191	9380
1	548	8540
2	2065	7932
0	60	599
1	1314	599
0	615	16399
1	1517	13979
2	7962	13967
0	60	599
1	1314	599
0	615	16399
1	1517	13979
2	7962	13967
0	475	10775
1	1176	9713
2	6013	9713
0	615	16399
1	1517	13979
2	7962	13967
0	191	9380
1	548	8540
2	2065	7932
0	60	599
1	1314	599
0	615	16399
1	1517	13979
2	7962	13967
0	191	9380
1	548	8540
2	2065	7932

Stop Event

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

Compiler

Compiled 2638 to 2055 computations (22.1% saved)

end105.0ms (0.4%)

Compiler: Compiled 340 to 258 computations (24.1% saved)

Iter	Nodes	Cost
0	84	443
1	152	443
2	226	443
3	274	431
4	315	431
5	448	431
6	610	431
7	743	431
8	873	431

Iter	Nodes	Cost
0	84	443
1	152	443
2	226	443
3	274	431
4	315	431
5	448	431
6	610	431
7	743	431
8	873	431

analyze420.0ms (1.4%)

sample18.0s (61.8%)

preprocess342.0ms (1.2%)

simplify72.0ms (0.2%)

eval4.0ms (0%)

prune4.0ms (0%)

localize1.6s (5.5%)

series178.0ms (0.6%)

rewrite62.0ms (0.2%)

simplify112.0ms (0.4%)

eval92.0ms (0.3%)

prune51.0ms (0.2%)

localize824.0ms (2.8%)

series181.0ms (0.6%)

rewrite139.0ms (0.5%)

simplify191.0ms (0.7%)

eval362.0ms (1.2%)

prune136.0ms (0.5%)

localize875.0ms (3%)

series23.0ms (0.1%)

rewrite121.0ms (0.4%)

simplify143.0ms (0.5%)

eval330.0ms (1.1%)

prune156.0ms (0.5%)

localize662.0ms (2.3%)

series50.0ms (0.2%)

rewrite90.0ms (0.3%)

simplify106.0ms (0.4%)

eval574.0ms (2%)

prune114.0ms (0.4%)

regimes125.0ms (0.4%)

regimes101.0ms (0.3%)

regimes96.0ms (0.3%)

regimes31.0ms (0.1%)

regimes13.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify24.0ms (0.1%)

soundness2.6s (8.9%)

end105.0ms (0.4%)

Profiling

Iter	Nodes	Cost
0	84	443
1	152	443
2	226	443
3	274	431
4	315	431
5	448	431
6	610	431
7	743	431
8	873	431