Metrics for VandenBroeck and Keller, Equation (20)

analyze870.0ms (2.2%)

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)

sample25.6s (63.7%)

Results

11.9s	7731×	body	8192	exit
4.2s	3989×	body	1024	valid
3.4s	4042×	body	1024	invalid
1.9s	7687×	body	256	unsamplable
1.2s	2029×	body	512	invalid
1.1s	2035×	body	512	valid
802.0ms	532×	body	2048	valid
733.0ms	1700×	body	256	valid
308.0ms	1023×	body	256	invalid
1.0ms	1×	body	2048	invalid

Bogosity

preprocess68.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1436×	`times-frac`
1336×	`fma-def`
954×	`associate-/r*`
602×	`associate-*r/`
586×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	397
1	91	363
2	240	327
3	720	327
4	2345	327

Stop Event

1×	node limit

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))))))))

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

eval3.0ms (0%)

Compiler: Compiled 169 to 114 computations (32.5% saved)

prune5.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.4%	(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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	5.4%	(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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

5.4%

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

▶

5.4%

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

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize748.0ms (1.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.4%	(.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)))))))
✓	98.7%	(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))))))
✓	96.9%	(/.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)))))
✓	11.4%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 198 to 145 computations (26.8% saved)

series152.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
88.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
38.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
7.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
5.0ms	f	@	0	(.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)))))))
3.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

rewrite59.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

404×	`add-sqr-sqrt`
394×	`pow1`
394×	`*-un-lft-identity`
382×	`add-exp-log`
380×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	100
1	412	100
2	6827	100

Stop Event

1×

unsound

Counts

4 → 104

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

simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1590×	`fma-def`
1576×	`times-frac`
846×	`distribute-rgt-in`
846×	`distribute-lft-in`
712×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	4650
1	462	4230
2	1879	3926

Stop Event

1×	node limit

Counts

152 → 89

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

Outputs
(.f64 (-.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))))
(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 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/61440)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 (PI.f64) 7) (.f64 1/41287680 (pow.f64 f 7)) (.f64 (PI.f64) (*.f64 f 1/2)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (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 (.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (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 (.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (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 (.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (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 (.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (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 (.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (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 (.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (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 (.f64 -1/4 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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (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 (.f64 -1/4 f)) (PI.f64)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (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))))
(fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (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))))
(fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))))
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(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(.f64 4 (/.f64 (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))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(.f64 4 (/.f64 (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))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 4) (PI.f64))
(.f64 4 (/.f64 (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))))) (PI.f64)))
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval76.0ms (0.2%)

Compiler: Compiled 4065 to 3091 computations (24% saved)

prune37.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	9	90

Accuracy

95.8%

Counts

90 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))))
	5.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
▶	5.2%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))))
	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))))
▶	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
▶	5.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))))
	5.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
▶	5.2%	(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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))))
	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))))
▶	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
▶	5.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))

Compiler

Compiled 992 to 792 computations (20.2% saved)

localize3.2s (8%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.4%	(.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)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))))
✓	98.7%	(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)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))))
✓	96.9%	(/.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)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))
✓	11.4%	(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
✓	99.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (PI.f64))
✓	98.7%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
✓	96.9%	(/.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)))))))
✓	11.4%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
✓	99.9%	(exp.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)))
✓	97.4%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
✓	99.6%	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	99.6%	(.f64 (.f64 (PI.f64) 1/2) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.4%	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 701 to 464 computations (33.8% saved)

series247.0ms (0.6%)

Counts

18 → 172

Calls

51 calls:

Time	Variable		Point	Expression
63.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))))
43.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
25.0ms	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))
21.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))))
17.0ms	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))

rewrite168.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`add-sqr-sqrt`
960×	`pow1`
938×	`add-exp-log`
926×	`add-log-exp`
916×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	688
1	1167	688

Stop Event

1×	node limit

Counts

18 → 168

Calls

Call 1

Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
(.f64 (.f64 (PI.f64) 1/2) f)
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) 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 (*.f64 (/.f64 (PI.f64) 4) f))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (PI.f64))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))
(/.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)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))
(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)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) 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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))))

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

simplify216.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-r`
926×	`associate-l`
756×	`log-prod`
628×	`fma-def`
452×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	588	19744
1	1507	14694
2	7426	14630

Stop Event

1×	node limit

Counts

340 → 352

Calls

Call 1

Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 1/131072)
(+.f64 (log.f64 1/131072) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))))
(+.f64 (log.f64 1/131072) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2)))))
(+.f64 (log.f64 1/131072) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/32 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 3 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 f 2))))))
(log.f64 (.f64 1/262144 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/262144 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/262144 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/262144 (+.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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(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (.f64 (PI.f64) 1/4))))

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

eval302.0ms (0.8%)

Compiler: Compiled 15303 to 11461 computations (25.1% saved)

prune144.0ms (0.4%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	389	27	416
Fresh	1	3	4
Picked	5	0	5
Done	0	0	0
Total	395	30	425

Accuracy

96.1%

Counts

425 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.3%	(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
	1.6%	(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
▶	95.5%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/262144))) (*.f64 (PI.f64) 1/4)))
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))))))
	5.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (exp.f64 (log.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	3.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	94.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))))))
	94.7%	(neg.f64 (.f64 4 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (PI.f64))))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	93.9%	(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
	93.9%	(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
	94.8%	(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
▶	94.7%	(neg.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))))))
	94.1%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))))
	94.0%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))))
▶	94.8%	(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
	94.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
	95.3%	(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
	1.6%	(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 1/262144 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
▶	95.5%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/262144))) (*.f64 (PI.f64) 1/4)))
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))))))
	5.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (exp.f64 (log.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	3.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	94.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))))))
	94.7%	(neg.f64 (.f64 4 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (PI.f64))))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	93.9%	(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
	93.9%	(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
	94.8%	(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
▶	94.7%	(neg.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))))))
	94.1%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))))
	94.0%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))))
▶	94.8%	(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
	94.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2640 to 2188 computations (17.1% saved)

localize722.0ms (1.8%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f64 (PI.f64) (.f64 1/2 f))
✓	99.5%	(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))
✓	99.2%	(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
✓	95.8%	(PI.f64)
✓	99.6%	(.f64 (PI.f64) (.f64 1/2 f))
✓	99.5%	(/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (PI.f64))
✓	95.8%	(PI.f64)
✓	91.2%	(expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
✓	99.5%	(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
✓	99.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
✓	99.0%	(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
✓	95.8%	(PI.f64)
✓	98.5%	(/.f64 (log.f64 1/131072) (PI.f64))
✓	95.8%	(PI.f64)
	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.6%	(.f64 (PI.f64) (.f64 f 1/4))
✓	99.5%	(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
✓	95.8%	(PI.f64)

Compiler

Compiled 408 to 289 computations (29.2% saved)

series176.0ms (0.4%)

Counts

17 → 132

Calls

33 calls:

Time	Variable		Point	Expression
79.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
70.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
13.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
2.0ms	f	@	0	(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
2.0ms	f	@	inf	(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)

rewrite328.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`add-sqr-sqrt`
710×	`pow1`
704×	`*-un-lft-identity`
690×	`add-exp-log`
686×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	347
1	834	347

Stop Event

1×	node limit

Counts

17 → 375

Calls

Call 1

Inputs
(PI.f64)
(/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(PI.f64)
(/.f64 (log.f64 1/131072) (PI.f64))
(PI.f64)
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(PI.f64)
(/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (PI.f64))
(.f64 (PI.f64) (.f64 1/2 f))
(PI.f64)
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))
(.f64 (PI.f64) (.f64 1/2 f))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))) 1)
(-.f64 (/.f64 (log.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 (PI.f64) 1/4)))
(.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 1 (.f64 (PI.f64) 1/4)))
(.f64 1 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 1/4))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 1 (.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 2) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 2) (.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))) 1/4))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (sinh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))) (PI.f64)))
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(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 f 1/2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))))

simplify326.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1018×	`times-frac`
908×	`associate-/r*`
824×	`associate-r`
784×	`associate-l`
464×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	627	16309
1	1574	14139
2	7978	14139

Stop Event

1×	node limit

Counts

507 → 283

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 3/2 (.f64 (-.f64 (.f64 -2 (/.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 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (.f64 8 (/.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 (.f64 1/3072 (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)))))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 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)))) (pow.f64 (PI.f64) 2))) (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (.f64 -16 (/.f64 (.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 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 3)))))) (PI.f64))) (.f64 3 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))) (pow.f64 f 3)) (PI.f64))))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(/.f64 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
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(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) 1)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(.f64 1/2 (.f64 f (PI.f64)))
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(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 f 1/2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 2) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (PI.f64)))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(/.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (neg.f64 (PI.f64)))
(/.f64 -1 (neg.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))) (neg.f64 (neg.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 2) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (PI.f64)))
(.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (PI.f64)))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(.f64 1 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 f 1/2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))))

Outputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))) (/.f64 (.f64 4 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (/.f64 f (pow.f64 (PI.f64) 2)) 0))
(+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (.f64 8 (/.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 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
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(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (cbrt.f64 (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))) (PI.f64)))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))) (PI.f64)))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 1)
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2)
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 3)
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 2) 1/2)
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3) 1/3)
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) -1)
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 2))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(fabs.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 1 (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) 1))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))) 2))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2)))) 1)
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 1)
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/2))) 3)
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 3) 1/3)
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/2))) 2)
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 2))
(fabs.f64 (.f64 f (.f64 1/2 (PI.f64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))
(*.f64 (PI.f64) (log.f64 (sqrt.f64 (exp.f64 f))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2)))))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/2)) 3))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f 1/2) 3)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 f 1/2) 3) (pow.f64 (PI.f64) 3)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/2))) 1))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 f (.f64 1/2 (PI.f64)))

eval243.0ms (0.6%)

Compiler: Compiled 12186 to 9266 computations (24% saved)

prune174.0ms (0.4%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	508	15	523
Fresh	17	8	25
Picked	2	3	5
Done	0	0	0
Total	527	26	553

Accuracy

96.1%

Counts

553 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.3%	(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
✓	95.5%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))))))
	5.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
	1.6%	(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 1/131072)) -1)))
	94.7%	(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2)))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))) (PI.f64))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	94.8%	(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64))))
	95.1%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.2%	(neg.f64 (.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64)))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	95.3%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
▶	15.0%	(neg.f64 (*.f64 4 (fabs.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))))))
▶	94.0%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	94.7%	(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))) 3))))
✓	94.8%	(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
▶	94.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
	95.3%	(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
✓	95.5%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))))))
	5.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
	1.6%	(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 1/131072)) -1)))
	94.7%	(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2)))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))) (PI.f64))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	94.8%	(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64))))
	95.1%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.2%	(neg.f64 (.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64)))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	95.3%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
▶	15.0%	(neg.f64 (*.f64 4 (fabs.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))))))
▶	94.0%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	94.7%	(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))) 3))))
✓	94.8%	(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
▶	94.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 1754 to 1474 computations (16% saved)

localize431.0ms (1.1%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.6%	(.f64 (PI.f64) (.f64 1/2 f))
✓	99.5%	(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
✓	98.3%	(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
	95.8%	(PI.f64)
✓	99.6%	(*.f64 (PI.f64) f)
	99.5%	(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
✓	98.4%	(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
	95.8%	(PI.f64)
✓	99.6%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))
	95.8%	(PI.f64)
	98.5%	(/.f64 (log.f64 1/131072) (PI.f64))
	95.8%	(PI.f64)
✓	99.6%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))
	95.8%	(PI.f64)

Compiler

Compiled 321 to 211 computations (34.3% saved)

series190.0ms (0.5%)

Counts

10 → 72

Calls

30 calls:

Time	Variable		Point	Expression
54.0ms	f	@	-inf	(/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))
52.0ms	f	@	0	(/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))
37.0ms	f	@	inf	(/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))
15.0ms	f	@	0	(/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))
14.0ms	f	@	inf	(/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))

rewrite111.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`add-sqr-sqrt`
592×	`pow1`
584×	`*-un-lft-identity`
570×	`add-exp-log`
568×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	236
1	674	228

Stop Event

1×	node limit

Counts

10 → 308

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))
(*.f64 f (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64))
(*.f64 f (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))

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

simplify156.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1036×	`div-sub`
820×	`log-prod`
684×	`fma-def`
428×	`cube-prod`
420×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	430	11682
1	1035	10186
2	3675	10186

Stop Event

1×	node limit

Counts

380 → 214

Calls

Call 1

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

eval822.0ms (2%)

Compiler: Compiled 17699 to 13150 computations (25.7% saved)

prune581.0ms (1.4%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	1064	9	1073
Fresh	5	13	18
Picked	0	5	5
Done	0	3	3
Total	1069	30	1099

Accuracy

96.1%

Counts

1099 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.6%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 2 (.f64 f 1/2)))) (.f64 (PI.f64) -1/4))) 3))
	95.3%	(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
✓	95.5%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4)))
	95.3%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
	95.2%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 4 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))))))
	5.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
	1.6%	(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 1/131072)) -1)))
	94.3%	(neg.f64 (*.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2)))
	94.8%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
✓	95.3%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))
	94.8%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
✓	95.3%	(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))
	3.2%	(neg.f64 (*.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))))) (PI.f64))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))) (PI.f64))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	94.8%	(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64))))
	94.8%	(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
	95.2%	(neg.f64 (.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64)))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	94.9%	(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
	15.0%	(neg.f64 (*.f64 4 (fabs.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 1/131072)) -1))))
✓	15.0%	(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
	93.7%	(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
✓	94.0%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
✓	94.8%	(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
✓	94.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 1674 to 1309 computations (21.8% saved)

regimes133.0ms (0.3%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

6 calls:

34.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
34.0ms	f
11.0ms	(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
95.5%	1	`f`
95.5%	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))))))))`
95.5%	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)))))))`
95.5%	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))))))`
95.5%	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)))))`
95.5%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1296 to 978 computations (24.5% saved)

regimes118.0ms (0.3%)

Counts

42 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(neg.f64 (*.f64 4 (pow.f64 (/.f64 (PI.f64) (log.f64 1/131072)) -1)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (*.f64 4 (fabs.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 1/131072)) -1))))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/262144))) (*.f64 (PI.f64) 1/4)))
(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 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(neg.f64 (.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (.f64 4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (PI.f64))))
(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2)))
(neg.f64 (*.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (PI.f64))))
(neg.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 2 (.f64 f 1/2)))) (.f64 (PI.f64) -1/4))) 3))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (exp.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (*.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))

Outputs
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))

Calls

2 calls:

60.0ms	f
38.0ms	(*.f64 (/.f64 (PI.f64) 4) f)

Results

Accuracy	Segments	Branch
95.3%	1	`f`
95.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 592 to 455 computations (23.1% saved)

regimes51.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
95.3%	1	`f`

Compiler

Compiled 173 to 134 computations (22.5% saved)

regimes50.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
95.3%	1	`f`

Compiler

Compiled 135 to 106 computations (21.5% saved)

regimes107.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

99.0ms

Results

Accuracy	Segments	Branch
95.3%	1	`f`

Compiler

Compiled 75 to 59 computations (21.3% saved)

regimes6.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.2%	1	`f`

Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes6.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
15.0%	1	`f`

Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes3.0ms (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)

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

228×	`unsub-neg`
180×	`neg-mul-1`
96×	`distribute-neg-out`
82×	`distribute-lft-neg-in`
74×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	320
1	113	320
2	179	320
3	221	316
4	256	316
5	283	316
6	298	316
7	418	316
8	540	316
9	542	316
10	551	316
11	578	316
12	584	316
13	604	316
14	632	316
15	652	316
16	665	316
17	674	316
18	678	316

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))

Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f)) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (.f64 (PI.f64) 1/4))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (log1p.f64 (fabs.f64 (+.f64 -1 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64)) (neg.f64 4))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(neg.f64 (.f64 4 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (log1p.f64 (+.f64 -1 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (neg.f64 4))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(*.f64 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (neg.f64 4))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (/.f64 (neg.f64 (log.f64 1/131072)) (PI.f64)))

Compiler

Compiled 102 to 88 computations (13.7% saved)

soundness3.1s (7.7%)

Rules

1590×	`fma-def`
1590×	`fma-def`
1590×	`fma-def`
1576×	`times-frac`
1576×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	4650
1	462	4230
2	1879	3926
0	52	688
1	1167	688
0	588	19744
1	1507	14694
2	7426	14630
0	19	100
1	412	100
2	6827	100
0	40	347
1	834	347
0	627	16309
1	1574	14139
2	7978	14139
0	627	16309
1	1574	14139
2	7978	14139
0	157	4650
1	462	4230
2	1879	3926
0	588	19744
1	1507	14694
2	7426	14630
0	157	4650
1	462	4230
2	1879	3926
0	52	688
1	1167	688
0	40	347
1	834	347
0	627	16309
1	1574	14139
2	7978	14139
0	588	19744
1	1507	14694
2	7426	14630
0	40	347
1	834	347
0	627	16309
1	1574	14139
2	7978	14139

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

Compiler

Compiled 1492 to 1156 computations (22.5% saved)

end0.0ms (0%)

preprocess275.0ms (0.7%)

Compiler: Compiled 488 to 344 computations (29.5% saved)

Iter	Nodes	Cost
0	55	320
1	113	320
2	179	320
3	221	316
4	256	316
5	283	316
6	298	316
7	418	316
8	540	316
9	542	316
10	551	316
11	578	316
12	584	316
13	604	316
14	632	316
15	652	316
16	665	316
17	674	316
18	678	316

Iter	Nodes	Cost
0	55	320
1	113	320
2	179	320
3	221	316
4	256	316
5	283	316
6	298	316
7	418	316
8	540	316
9	542	316
10	551	316
11	578	316
12	584	316
13	604	316
14	632	316
15	652	316
16	665	316
17	674	316
18	678	316

analyze870.0ms (2.2%)

sample25.6s (63.7%)

preprocess68.0ms (0.2%)

eval3.0ms (0%)

prune5.0ms (0%)

localize748.0ms (1.9%)

series152.0ms (0.4%)

rewrite59.0ms (0.1%)

simplify75.0ms (0.2%)

eval76.0ms (0.2%)

prune37.0ms (0.1%)

localize3.2s (8%)

series247.0ms (0.6%)

rewrite168.0ms (0.4%)

simplify216.0ms (0.5%)

eval302.0ms (0.8%)

prune144.0ms (0.4%)

localize722.0ms (1.8%)

series176.0ms (0.4%)

rewrite328.0ms (0.8%)

simplify326.0ms (0.8%)

eval243.0ms (0.6%)

prune174.0ms (0.4%)

localize431.0ms (1.1%)

series190.0ms (0.5%)

rewrite111.0ms (0.3%)

simplify156.0ms (0.4%)

eval822.0ms (2%)

prune581.0ms (1.4%)

regimes133.0ms (0.3%)

regimes118.0ms (0.3%)

regimes51.0ms (0.1%)

regimes50.0ms (0.1%)

regimes107.0ms (0.3%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

simplify96.0ms (0.2%)

soundness3.1s (7.7%)

end0.0ms (0%)

preprocess275.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	55	320
1	113	320
2	179	320
3	221	316
4	256	316
5	283	316
6	298	316
7	418	316
8	540	316
9	542	316
10	551	316
11	578	316
12	584	316
13	604	316
14	632	316
15	652	316
16	665	316
17	674	316
18	678	316