Metrics for VandenBroeck and Keller, Equation (20)

analyze437.0ms (1.4%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample18.8s (59.9%)

Results

8.8s	7811×	body	8192	exit
2.6s	4038×	body	1024	valid
2.3s	3942×	body	1024	invalid
1.9s	7806×	body	256	unsamplable
891.0ms	518×	body	2048	valid
887.0ms	2051×	body	512	valid
725.0ms	2038×	body	512	invalid
501.0ms	1649×	body	256	valid
178.0ms	957×	body	256	invalid
2.0ms	3×	body	2048	invalid

Bogosity

preprocess608.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1436×	`times-frac`
1336×	`fma-def`
946×	`associate-/r*`
602×	`associate-*r/`
590×	`associate-/l*`

Problems

247×	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
4×	`(/.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×	No Errors
2×	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	433
1	92	399
2	241	363
3	720	363
4	2345	363

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

Compiler

Compiled 236 to 175 computations (25.8% saved)

eval3.0ms (0%)

Compiler: Compiled 169 to 122 computations (27.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	6.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

6.3%

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

▶

6.3%

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

localize542.0ms (1.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.4%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	98.1%	(/.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)))))
✓	10.4%	(-.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)

series133.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
89.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
35.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
3.0ms	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)))))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`associate-r`
168×	`associate-l`
139×	`add-exp-log`
138×	`add-log-exp`
138×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	310	112
2	5551	112

Stop Event

1×

unsound

Counts

4 → 64

Calls

Call 1

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

Outputs
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify112.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1738×	`fma-def`
1344×	`times-frac`
820×	`distribute-lft-in`
814×	`distribute-rgt-in`
792×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	5001
1	464	4621
2	1864	4270

Stop Event

1×	node limit

Counts

112 → 69

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.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 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.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 (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 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
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(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.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 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.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 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.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 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.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) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.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 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (fma.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 2 f) (.f64 (PI.f64) 1/2))))
(+.f64 (fma.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)) (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) 0)
(fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (+.f64 (.f64 (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 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(+.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (fma.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 2 f) (.f64 (PI.f64) 1/2))))
(+.f64 (fma.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)) (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) 0)
(fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 -1 (log.f64 f) (.f64 1/2 (+.f64 (.f64 f (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0))) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (.f64 1/2 (fma.f64 f (.f64 (PI.f64) 0) (.f64 (pow.f64 f 2) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))))))
(-.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2)))) 0) (.f64 (pow.f64 f 2) 1/2) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (log.f64 f))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.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 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 f (.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 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 -1 (log.f64 f) (.f64 1/2 (+.f64 (.f64 f (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0))) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (.f64 1/2 (fma.f64 f (.f64 (PI.f64) 0) (.f64 (pow.f64 f 2) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))))))
(-.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2)))) 0) (.f64 (pow.f64 f 2) 1/2) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval60.0ms (0.2%)

Compiler: Compiled 3425 to 2608 computations (23.9% saved)

prune34.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	60	9	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	9	70

Accuracy

97.5%

Counts

70 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
▶	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
▶	96.6%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	6.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
▶	96.1%	(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 f (*.f64 (PI.f64) 1/2))))))
	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)))) 16))))
	96.2%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
▶	6.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	96.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
▶	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
▶	96.6%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	6.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
▶	96.1%	(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 f (*.f64 (PI.f64) 1/2))))))
	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)))) 16))))
	96.2%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))))
▶	6.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))

Compiler

Compiled 1024 to 816 computations (20.3% saved)

localize2.7s (8.5%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (PI.f64))
✓	99.4%	(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
✓	98.1%	(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
✓	10.4%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	98.5%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	100.0%	(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
✓	99.4%	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
✓	98.5%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
✓	98.4%	(pow.f64 (PI.f64) 5)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Compiler

Compiled 806 to 559 computations (30.6% saved)

series171.0ms (0.5%)

Counts

18 → 136

Calls

42 calls:

Time	Variable		Point	Expression
35.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
24.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))
20.0ms	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 f (.f64 (PI.f64) 1/2))))
20.0ms	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 f (.f64 (PI.f64) 1/2))))
15.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))

rewrite149.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

420×	`log1p-expm1-u`
420×	`expm1-log1p-u`
419×	`add-exp-log`
414×	`add-cube-cbrt`
413×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	783
1	955	611

Stop Event

1×	node limit

Counts

18 → 360

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 2)
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (/.f64 1 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))))
(+.f64 0 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 2)) (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (log.f64 (neg.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 2) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 1))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
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(pow.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3) (pow.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (log.f64 (/.f64 1 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(+.f64 0 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
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(+.f64 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(-.f64 0 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) (log.f64 (neg.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(.f64 1 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3))
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(exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)))) 1)
(.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
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(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))) 3)
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(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) -1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
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(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))

simplify209.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1230×	`fma-def`
646×	`distribute-lft-in`
642×	`distribute-rgt-in`
594×	`sqr-pow`
474×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1064	25518
1	2877	23277

Stop Event

1×	node limit

Counts

496 → 532

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 0)) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 (.f64 1/2 (pow.f64 f 2)) (fma.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12)) 0)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3/2 (.f64 (PI.f64) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))))))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -3/4 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) 0) (.f64 (PI.f64) 1/12))) (fma.f64 1/4 (pow.f64 (.f64 (PI.f64) 0) 3) (.f64 3/2 (.f64 (PI.f64) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 0) (PI.f64))) (.f64 -1/48 (.f64 (PI.f64) (.f64 (PI.f64) 0))))))))) (.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 0)) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (*.f64 (PI.f64) 1/12)))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -3/4 (.f64 (.f64 (PI.f64) 1/12) 0) (fma.f64 3/2 (+.f64 (.f64 (/.f64 0 (PI.f64)) (PI.f64)) 0) 0))) (fma.f64 1/2 (.f64 (pow.f64 f 2) (fma.f64 1/2 (.f64 (PI.f64) (*.f64 (PI.f64) 1/12)) 0)) 0)))
(+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (/.f64 (.f64 61440 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) -1/4) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 5))) (*.f64 5 (neg.f64 (log.f64 f))))
(fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (/.f64 (.f64 61440 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 5))))
(-.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f)))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 (.f64 61440 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) -1/4) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 5))) (-.f64 (.f64 5 (neg.f64 (log.f64 f))) (/.f64 320 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 (.f64 61440 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 5))) (fma.f64 5 (neg.f64 (log.f64 f)) (/.f64 -320 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))))) (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (.f64 5 (log.f64 (/.f64 1 f))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 2) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 1)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 3)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 3) 1/3)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))) 2)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))))) 3))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))) 1))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440)))) 1))
(log1p.f64 (+.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 5) 1/61440))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) -1))
(log1p.f64 (+.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 5) 1/61440)))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3)
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2)
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 1 (PI.f64)) 4) 3) (pow.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3) (pow.f64 (.f64 (/.f64 1 (PI.f64)) 4) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (.f64 (PI.f64) 1/4))) 1))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 1 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (/.f64 1 f))
(.f64 (/.f64 1 f) (/.f64 2 (.f64 (PI.f64) 1/2)))
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 (sqrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(pow.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 3) 1/3)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(pow.f64 (sqrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(pow.f64 (/.f64 f (/.f64 2 (*.f64 (PI.f64) 1/2))) -1)
(/.f64 1 (.f64 (/.f64 f 2) (.f64 (PI.f64) 1/2)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(cbrt.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 3))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (/.f64 8 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (/.f64 8 (*.f64 1/8 (pow.f64 (PI.f64) 3))) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(exp.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(exp.f64 (.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
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(+.f64 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (/.f64 1/2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (log.f64 (/.f64 1/2 (sinh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))))
(-.f64 0 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) 1)
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) (log.f64 (neg.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(-.f64 (log.f64 (.f64 -2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 -2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))
(-.f64 (log.f64 (.f64 -2 (cosh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (log.f64 (.f64 -2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))
(.f64 1 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 1)
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) 3)
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3) 1/3)
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))))) 1))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 1))
(log1p.f64 (+.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) -1))
(log1p.f64 (+.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)))) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (/.f64 1 (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))) 3)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))) 2)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) -1)
(/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))
(/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64)) 3))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 1))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))

eval444.0ms (1.4%)

Compiler: Compiled 22774 to 17011 computations (25.3% saved)

prune165.0ms (0.5%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	584	26	610
Fresh	4	0	4
Picked	5	0	5
Done	0	0	0
Total	593	26	619

Accuracy

99.4%

Counts

619 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.5%	(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
	95.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
	94.7%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3))
	96.2%	(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))
▶	96.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f))))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))) 2)))
	96.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	16.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f))))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1))))
▶	96.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))))
	97.7%	(neg.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)))
	98.5%	(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2)))
	96.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	98.7%	(neg.f64 (.f64 4 (/.f64 (.f64 3 (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) (PI.f64))))
▶	98.9%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
	35.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3) 1/3))) (PI.f64))))
▶	98.8%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
	98.8%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
	79.9%	(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
	95.0%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.9%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.8%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
	95.7%	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3)))
	94.5%	(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
	95.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
	94.7%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3))
	96.2%	(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))
▶	96.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f))))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))) 2)))
	96.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	16.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f))))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1))))
▶	96.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))))
	97.7%	(neg.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)))
	98.5%	(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2)))
	96.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	98.7%	(neg.f64 (.f64 4 (/.f64 (.f64 3 (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) (PI.f64))))
▶	98.9%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
	35.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3) 1/3))) (PI.f64))))
▶	98.8%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
	98.8%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
	79.9%	(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
	95.0%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.9%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
	94.8%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
	95.7%	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3)))

Compiler

Compiled 1904 to 1640 computations (13.9% saved)

localize687.0ms (2.2%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (PI.f64) f)
✓	99.5%	(/.f64 (PI.f64) (/.f64 4 f))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f)))))
✓	98.5%	(PI.f64)
✓	99.5%	(/.f64 (.f64 3 (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))))) (PI.f64))
✓	99.4%	(log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
✓	99.0%	(cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))
✓	98.5%	(PI.f64)
✓	99.6%	(.f64 (.f64 (PI.f64) 1/4) f)
✓	99.5%	(/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))
✓	99.4%	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
✓	98.5%	(PI.f64)
✓	100.0%	(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
✓	99.5%	(/.f64 (/.f64 4 f) (PI.f64))
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
✓	98.5%	(PI.f64)
✓	99.6%	(.f64 (.f64 (PI.f64) 1/4) f)
✓	99.5%	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
✓	99.4%	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
✓	98.5%	(PI.f64)

Compiler

Compiled 397 to 268 computations (32.5% saved)

series278.0ms (0.9%)

Counts

20 → 168

Calls

45 calls:

Time	Variable		Point	Expression
65.0ms	f	@	inf	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
35.0ms	f	@	0	(log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
25.0ms	f	@	0	(/.f64 (.f64 3 (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))))) (PI.f64))
24.0ms	f	@	inf	(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f)))))
22.0ms	f	@	-inf	(log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))

rewrite143.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`associate-r`
352×	`associate-l`
292×	`times-frac`
268×	`frac-times`
261×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	442
1	712	430

Stop Event

1×	node limit

Counts

20 → 603

Calls

Call 1

Inputs
(PI.f64)
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (PI.f64))
(.f64 (.f64 (PI.f64) 1/4) f)
(PI.f64)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(PI.f64)
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))
(.f64 (.f64 (PI.f64) 1/4) f)
(PI.f64)
(cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))
(log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))
(/.f64 (.f64 3 (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))))) (PI.f64))
(PI.f64)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f)))))
(/.f64 (PI.f64) (/.f64 4 f))
(*.f64 (PI.f64) f)

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

simplify264.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/l*`
648×	`distribute-lft-in`
626×	`distribute-rgt-in`
586×	`associate-*r/`
574×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1036	28867
1	2611	26847

Stop Event

1×	node limit

Counts

771 → 589

Calls

Call 1

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

Outputs
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (.f64 2 (/.f64 f (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))))))
(+.f64 (log.f64 f) (fma.f64 2 (/.f64 f (/.f64 1 0)) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.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))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (fma.f64 1/2 (.f64 (pow.f64 f 2) (fma.f64 -4 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64))))) (.f64 2 (/.f64 f (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 0)))))))
(+.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (fma.f64 2 (/.f64 f (/.f64 1 0)) (.f64 1/2 (.f64 (pow.f64 f 2) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64)) 0)))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -48 (/.f64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.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 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (.f64 -1/8 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/64 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.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))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -48 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 0) (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))))) (fma.f64 16 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)) (.f64 24 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192))) (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 4) -1/3072))) (neg.f64 (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (.f64 (.f64 1/64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) 0))))) (PI.f64)))))) (fma.f64 1/2 (.f64 (pow.f64 f 2) (fma.f64 -4 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64))))) (.f64 2 (/.f64 f (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 0))))))))
(+.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (fma.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (/.f64 (fma.f64 1/2 (fma.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (/.f64 1 0)) (fma.f64 24 (/.f64 (-.f64 (.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/192))) (fma.f64 (.f64 -1/32 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) -1/32) (.f64 (pow.f64 (PI.f64) 4) -1/3072)))) (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) 0)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 3))))) (fma.f64 2 (/.f64 f (/.f64 1 0)) (.f64 1/2 (.f64 (pow.f64 f 2) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 (.f64 (PI.f64) -1/4) (.f64 (pow.f64 (PI.f64) 2) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64)) 0))))))
(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))))))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.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))))))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.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))))))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.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))))))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.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))))))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.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))))))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.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))))))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.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))))))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64))))) (PI.f64))
(+.f64 (.f64 -2 (/.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 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(fma.f64 -2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))) (neg.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(-.f64 (.f64 -2 (/.f64 f (/.f64 1 0))) (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -2 (/.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 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 f 2) (+.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))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
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(.f64 f (.f64 1/4 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(.f64 f (.f64 1/4 (PI.f64)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3))
(.f64 f (.f64 1/4 (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(.f64 f (.f64 1/4 (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(.f64 f (.f64 1/4 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 4 f) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 64 (pow.f64 f 3))))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 f (.f64 1/4 (PI.f64)))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 f (.f64 1/4 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 1))
(.f64 f (.f64 1/4 (PI.f64)))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 f (.f64 1/4 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(*.f64 f (PI.f64))
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 f (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 f (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 f (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(*.f64 f (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(sqrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))
(fabs.f64 (*.f64 f (PI.f64)))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(*.f64 f (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 f (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(*.f64 f (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 f (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))

eval494.0ms (1.6%)

Compiler: Compiled 22030 to 16826 computations (23.6% saved)

prune271.0ms (0.9%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	890	18	908
Fresh	15	6	21
Picked	3	2	5
Done	0	0	0
Total	908	26	934

Accuracy

100.0%

Counts

934 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.5%	(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
	95.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2))
	96.2%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
	96.1%	(neg.f64 (/.f64 -4 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
▶	96.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	96.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
✓	96.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
▶	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	97.7%	(neg.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)))
	98.5%	(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2)))
	96.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	98.7%	(neg.f64 (.f64 4 (/.f64 (.f64 3 (neg.f64 (.f64 1/3 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))) (PI.f64))))
	8.5%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 -1/2 (PI.f64)) f)))) (log1p.f64 (exp.f64 (.f64 (*.f64 -1/2 (PI.f64)) f))))) (PI.f64))))
✓	98.9%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
▶	3.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
▶	98.7%	(neg.f64 (.f64 4 (/.f64 1 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))))
	98.7%	(neg.f64 (.f64 4 (.f64 -3 (/.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64)))))
▶	98.8%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
	79.9%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	96.1%	(neg.f64 (fabs.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	94.9%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))))
	94.8%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))))
	94.5%	(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
	95.7%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2))
	96.2%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
	96.1%	(neg.f64 (/.f64 -4 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
▶	96.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	96.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
✓	96.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
▶	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	97.7%	(neg.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)))
	98.5%	(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2)))
	96.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	98.7%	(neg.f64 (.f64 4 (/.f64 (.f64 3 (neg.f64 (.f64 1/3 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))) (PI.f64))))
	8.5%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 -1/2 (PI.f64)) f)))) (log1p.f64 (exp.f64 (.f64 (*.f64 -1/2 (PI.f64)) f))))) (PI.f64))))
✓	98.9%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
▶	3.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
▶	98.7%	(neg.f64 (.f64 4 (/.f64 1 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))))
	98.7%	(neg.f64 (.f64 4 (.f64 -3 (/.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64)))))
▶	98.8%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
	79.9%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	96.1%	(neg.f64 (fabs.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	94.9%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))))
	94.8%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))))

Compiler

Compiled 1528 to 1320 computations (13.6% saved)

localize488.0ms (1.6%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	98.3%	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	97.7%	(PI.f64)
✓	99.6%	(.f64 (PI.f64) (.f64 f 1/4))
✓	99.6%	(/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
✓	99.4%	(.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
	97.7%	(PI.f64)
✓	100.0%	(tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))
✓	99.6%	(.f64 f (.f64 1/4 (PI.f64)))
✓	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) (PI.f64))
	97.7%	(PI.f64)
✓	99.6%	(*.f64 f (PI.f64))
✓	99.6%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
	97.7%	(PI.f64)
✓	99.6%	(/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))
	99.6%	(*.f64 (PI.f64) f)
	97.7%	(PI.f64)
✓	92.2%	(pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))

Compiler

Compiled 352 to 231 computations (34.4% saved)

series64.0ms (0.2%)

Counts

14 → 144

Calls

42 calls:

Time	Variable		Point	Expression
25.0ms	f	@	inf	(pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
23.0ms	f	@	-inf	(pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
4.0ms	f	@	0	(/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
4.0ms	f	@	0	(pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
1.0ms	f	@	0	(.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))

rewrite188.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`log1p-udef`
718×	`expm1-udef`
450×	`associate-r`
274×	`associate-l`
230×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	374
1	753	364
2	7001	364

Stop Event

1×	node limit

Counts

14 → 455

Calls

Call 1

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

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

simplify233.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-r`
944×	`fma-def`
714×	`distribute-lft-in`
706×	`distribute-rgt-in`
630×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1020	29695
1	2763	26810

Stop Event

1×	node limit

Counts

599 → 576

Calls

Call 1

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

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

eval817.0ms (2.6%)

Compiler: Compiled 35250 to 26052 computations (26.1% saved)

prune216.0ms (0.7%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1552	10	1562
Fresh	10	9	19
Picked	1	4	5
Done	1	1	2
Total	1564	24	1588

Accuracy

100.0%

Counts

1588 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
	1.6%	(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64)))
	96.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	96.1%	(neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64))))
	95.7%	(neg.f64 (.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
✓	96.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	96.2%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	96.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
	96.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	96.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1))))
✓	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	97.7%	(neg.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)))
	98.5%	(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2)))
	96.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	98.7%	(neg.f64 (.f64 4 (/.f64 (.f64 3 (neg.f64 (.f64 1/3 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))) (PI.f64))))
	8.5%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 -1/2 (PI.f64)) f)))) (log1p.f64 (exp.f64 (.f64 (*.f64 -1/2 (PI.f64)) f))))) (PI.f64))))
✓	98.9%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
✓	3.1%	(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
	96.0%	(neg.f64 (.f64 4 (/.f64 1 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))))))))
	96.1%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
✓	98.8%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
	79.9%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	94.8%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))))

Compiler

Compiled 1472 to 1153 computations (21.7% saved)

regimes112.0ms (0.4%)

Counts

64 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(neg.f64 (/.f64 -4 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1))))
(neg.f64 (.f64 4 (/.f64 1 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (fabs.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.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 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (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 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(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 4 (/.f64 1 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))))
(neg.f64 (.f64 4 (/.f64 (.f64 3 (neg.f64 (.f64 1/3 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))) (PI.f64))))
(neg.f64 (-.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)))))
(neg.f64 (.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 3))) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4))) 2))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 4 (.f64 -3 (/.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (.f64 3 (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) (PI.f64))))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))) 2)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)))
(neg.f64 (.f64 4 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64))) 2)))
(neg.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f))))) (PI.f64)) 3) 1/3)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 -1/2 (PI.f64)) f)))) (log1p.f64 (exp.f64 (.f64 (*.f64 -1/2 (PI.f64)) 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 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 3) 1/3))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (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))))))))
(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 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))

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

Calls

6 calls:

29.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
28.0ms	f
9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
7.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Accuracy	Segments	Branch
98.9%	1	`f`
98.9%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
98.9%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
98.9%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
98.9%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
98.9%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1258 to 956 computations (24% saved)

regimes18.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(neg.f64 (/.f64 -4 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1))))
(neg.f64 (.f64 4 (/.f64 1 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (fabs.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.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))))))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
96.2%	1	`f`

Compiler

Compiled 252 to 188 computations (25.4% saved)

regimes16.0ms (0%)

Counts

18 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4))
(neg.f64 (/.f64 -4 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1))))
(neg.f64 (.f64 4 (/.f64 1 (.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))) 1))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(neg.f64 (fabs.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.2%	1	`f`

Compiler

Compiled 227 to 170 computations (25.1% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`f`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(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:

3.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`f`

Compiler

Compiled 21 to 17 computations (19% 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 0) (PI.f64))))

Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
0.7%	1	`f`

Compiler

Compiled 10 to 9 computations (10% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

202×	`distribute-lft-neg-in`
168×	`neg-mul-1`
114×	`unsub-neg`
100×	`distribute-rgt-neg-in`
90×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	235
1	90	227
2	150	227
3	208	223
4	276	223
5	309	223
6	365	223
7	503	223
8	668	223
9	670	223
10	673	223
11	678	223
12	685	223
13	688	223

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))

Outputs
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (neg.f64 4))
(*.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 4) (PI.f64)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (.f64 4 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (neg.f64 4) (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 0) (PI.f64)))
(*.f64 (/.f64 (log.f64 0) (PI.f64)) (neg.f64 4))

Compiler

Compiled 68 to 58 computations (14.7% saved)

soundness2.3s (7.3%)

Rules

1738×	`fma-def`
1382×	`associate-r`
1350×	`associate-/l*`
1350×	`associate-/l*`
1344×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	783
1	955	611
0	1064	25518
1	2877	23277
0	39	442
1	712	430
0	1036	28867
1	2611	26847
0	40	374
1	753	364
2	7001	364
0	1020	29695
1	2763	26810
0	154	5001
1	464	4621
2	1864	4270
0	1064	25518
1	2877	23277
0	1036	28867
1	2611	26847
0	40	374
1	753	364
2	7001	364
0	39	442
1	712	430
0	1064	25518
1	2877	23277

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

Compiler

Compiled 761 to 560 computations (26.4% saved)

end0.0ms (0%)

preprocess162.0ms (0.5%)

Compiler: Compiled 202 to 154 computations (23.8% saved)

Iter	Nodes	Cost
0	45	235
1	90	227
2	150	227
3	208	223
4	276	223
5	309	223
6	365	223
7	503	223
8	668	223
9	670	223
10	673	223
11	678	223
12	685	223
13	688	223

Iter	Nodes	Cost
0	45	235
1	90	227
2	150	227
3	208	223
4	276	223
5	309	223
6	365	223
7	503	223
8	668	223
9	670	223
10	673	223
11	678	223
12	685	223
13	688	223

analyze437.0ms (1.4%)

sample18.8s (59.9%)

preprocess608.0ms (1.9%)

eval3.0ms (0%)

prune2.0ms (0%)

localize542.0ms (1.7%)

series133.0ms (0.4%)

rewrite77.0ms (0.2%)

simplify112.0ms (0.4%)

eval60.0ms (0.2%)

prune34.0ms (0.1%)

localize2.7s (8.5%)

series171.0ms (0.5%)

rewrite149.0ms (0.5%)

simplify209.0ms (0.7%)

eval444.0ms (1.4%)

prune165.0ms (0.5%)

localize687.0ms (2.2%)

series278.0ms (0.9%)

rewrite143.0ms (0.5%)

simplify264.0ms (0.8%)

eval494.0ms (1.6%)

prune271.0ms (0.9%)

localize488.0ms (1.6%)

series64.0ms (0.2%)

rewrite188.0ms (0.6%)

simplify233.0ms (0.7%)

eval817.0ms (2.6%)

prune216.0ms (0.7%)

regimes112.0ms (0.4%)

regimes18.0ms (0.1%)

regimes16.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify27.0ms (0.1%)

soundness2.3s (7.3%)

end0.0ms (0%)

preprocess162.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	45	235
1	90	227
2	150	227
3	208	223
4	276	223
5	309	223
6	365	223
7	503	223
8	668	223
9	670	223
10	673	223
11	678	223
12	685	223
13	688	223