Metrics for VandenBroeck and Keller, Equation (20)

analyze1.1s (3%)

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)

sample23.2s (62.9%)

Results

10.7s	8002×	body	8192	exit
3.7s	4086×	body	1024	valid
2.9s	3956×	body	1024	invalid
2.0s	7734×	body	256	unsamplable
1.2s	2054×	body	512	valid
943.0ms	2113×	body	512	invalid
825.0ms	476×	body	2048	valid
605.0ms	1640×	body	256	valid
257.0ms	1028×	body	256	invalid
1.0ms	1×	body	2048	invalid

Bogosity

preprocess1.4s (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

250×	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
3×	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
3×	`(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	31	397
1	91	363
2	240	327
3	720	327
4	2345	327

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 236 to 175 computations (25.8% saved)

eval10.0ms (0%)

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

prune8.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

5.8%

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

▶

5.8%

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

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize1.2s (3.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	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)))))))
✓	99.2%	(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))))))
✓	98.4%	(/.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)))))
✓	9.5%	(-.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)

series256.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
143.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
90.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
3.0ms	f	@	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)))))))

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

unsound

Counts

4 → 104

Calls

Call 1

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

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

simplify190.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	4606
1	472	4226
2	1876	3890

Stop Event

1×	node limit

Counts

152 → 86

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

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

eval127.0ms (0.3%)

Compiler: Compiled 3901 to 2956 computations (24.2% saved)

prune51.0ms (0.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	76	10	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	10	87

Accuracy

98.1%

Counts

87 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64)))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	96.8%	(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)))))))
	5.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
▶	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))))
▶	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
	5.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
▶	97.2%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64)))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	96.8%	(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)))))))
	5.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
▶	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))))
▶	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
	5.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))

Compiler

Compiled 1056 to 840 computations (20.5% saved)

localize1.7s (4.5%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	98.4%	(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)))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
✓	98.4%	(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
✓	100.0%	(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	98.9%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
✓	98.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
✓	100.0%	(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
✓	100.0%	(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	98.8%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))
✓	99.6%	(.f64 (PI.f64) (.f64 f 1/2))
✓	99.6%	(log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))
✓	99.6%	(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 592 to 442 computations (25.3% saved)

series274.0ms (0.7%)

Counts

19 → 168

Calls

42 calls:

Time	Variable		Point	Expression
91.0ms	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)))) 262144)))
46.0ms	f	@	0	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64))
26.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))
23.0ms	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)))) 262144)))
21.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))

rewrite128.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`add-sqr-sqrt`
916×	`pow1`
908×	`*-un-lft-identity`
900×	`add-exp-log`
888×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	445
1	1023	445

Stop Event

1×	node limit

Counts

19 → 167

Calls

Call 1

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

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

simplify153.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

946×	`associate-r`
866×	`associate-l`
764×	`log-prod`
614×	`exp-prod`
470×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	464	9561
1	1014	8423
2	5666	8423

Stop Event

1×	node limit

Counts

335 → 270

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
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(pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2))) 1)
(log.f64 (exp.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (PI.f64) 2)))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))

Outputs
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(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
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(+.f64 (.f64 (PI.f64) -1/24) (.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (PI.f64) 2))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (.f64 (PI.f64) 2)))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (.f64 (PI.f64) -1/24) (.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (.f64 (PI.f64) -1/24) (.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (.f64 (PI.f64) -1/24) (.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 1/16 (*.f64 (PI.f64) 2)))))
(+.f64 (.f64 (PI.f64) -1/24) (.f64 1/16 (*.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))

eval193.0ms (0.5%)

Compiler: Compiled 9280 to 7259 computations (21.8% saved)

prune133.0ms (0.4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	324	24	348
Fresh	1	4	5
Picked	5	0	5
Done	0	0	0
Total	330	28	358

Accuracy

98.4%

Counts

358 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) 4) (PI.f64)))
	96.9%	(neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))))) 4) (PI.f64)))
▶	97.2%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
▶	96.3%	(neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
	96.5%	(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
▶	95.5%	(neg.f64 (/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
	96.3%	(neg.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
	96.3%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (log.f64 4))))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (.f64 (.f64 -1/4 f) (PI.f64)))) 4))))
	5.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))))
	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	95.2%	(neg.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))
	96.3%	(neg.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
▶	96.8%	(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
	5.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	95.5%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))
	95.5%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))
	96.9%	(neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) 4) (PI.f64)))
	96.9%	(neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))))) 4) (PI.f64)))
▶	97.2%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
▶	96.3%	(neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
	96.5%	(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
▶	95.5%	(neg.f64 (/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
	96.3%	(neg.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
	96.3%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (log.f64 4))))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (.f64 (.f64 -1/4 f) (PI.f64)))) 4))))
	5.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))))
	96.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	95.2%	(neg.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))
	96.3%	(neg.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
▶	96.8%	(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
	5.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	95.5%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))
	95.5%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2480 to 2044 computations (17.6% saved)

localize627.0ms (1.7%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64))
✓	99.4%	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
✓	99.2%	(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
✓	97.7%	(PI.f64)
✓	99.5%	(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64))
✓	99.4%	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
✓	98.3%	(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
✓	97.7%	(PI.f64)
✓	99.6%	(log.f64 (/.f64 1 f))
✓	99.5%	(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
✓	97.7%	(PI.f64)
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	98.5%	(/.f64 (log.f64 1/131072) (PI.f64))
✓	97.7%	(PI.f64)
✓	99.6%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.5%	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64))
✓	97.7%	(PI.f64)
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 352 to 265 computations (24.7% saved)

series14.0ms (0%)

Counts

18 → 108

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	f	@	-inf	(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
1.0ms	f	@	inf	(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
1.0ms	f	@	0	(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
0.0ms	f	@	-inf	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64))
0.0ms	f	@	inf	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64))

rewrite176.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`add-sqr-sqrt`
618×	`pow1`
610×	`*-un-lft-identity`
602×	`add-exp-log`
596×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	312
1	738	308

Stop Event

1×	node limit

Counts

18 → 523

Calls

Call 1

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

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

simplify233.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

976×	`associate-r`
938×	`associate-/r*`
894×	`associate-l`
870×	`associate-/l*`
458×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	763	18129
1	1867	16035

Stop Event

1×	node limit

Counts

631 → 483

Calls

Call 1

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

eval560.0ms (1.5%)

Compiler: Compiled 16433 to 12494 computations (24% saved)

prune627.0ms (1.7%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	788	15	803
Fresh	13	10	23
Picked	3	2	5
Done	0	0	0
Total	804	27	831

Accuracy

98.4%

Counts

831 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(neg.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) (/.f64 4 (PI.f64))) 3) 1/3))
	96.8%	(neg.f64 (pow.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))) -1))
	96.3%	(neg.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 2) 4) (PI.f64)))
▶	96.2%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (pow.f64 (sqrt.f64 (PI.f64)) 2)))
✓	97.2%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
	97.1%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 f 1/2) (PI.f64)))) 4) (PI.f64)))
	96.8%	(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
	1.7%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (.f64 4 f) (PI.f64))) 4) (PI.f64)))
▶	96.8%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) 4) (PI.f64)))
	13.4%	(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) (/.f64 4 (PI.f64))))))) 4) (PI.f64)))
	96.7%	(neg.f64 (+.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)) (/.f64 -4 (PI.f64))))
	96.3%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
▶	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	5.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
▶	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
	96.7%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (neg.f64 (PI.f64)))))
	5.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
▶	97.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	97.2%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	15.2%	(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
	97.0%	(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	95.2%	(neg.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) (/.f64 4 (PI.f64))) 3) 1/3))
	96.8%	(neg.f64 (pow.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))) -1))
	96.3%	(neg.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 2) 4) (PI.f64)))
▶	96.2%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (pow.f64 (sqrt.f64 (PI.f64)) 2)))
✓	97.2%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
	97.1%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 f 1/2) (PI.f64)))) 4) (PI.f64)))
	96.8%	(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
	1.7%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (.f64 4 f) (PI.f64))) 4) (PI.f64)))
▶	96.8%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) 4) (PI.f64)))
	13.4%	(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) (/.f64 4 (PI.f64))))))) 4) (PI.f64)))
	96.7%	(neg.f64 (+.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)) (/.f64 -4 (PI.f64))))
	96.3%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
▶	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	5.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
▶	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
	96.7%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (neg.f64 (PI.f64)))))
	5.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
▶	97.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	97.2%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	15.2%	(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
	97.0%	(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))

Compiler

Compiled 1842 to 1526 computations (17.2% saved)

localize568.0ms (1.5%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (pow.f64 (sqrt.f64 (PI.f64)) 2))
✓	98.4%	(pow.f64 (sqrt.f64 (PI.f64)) 2)
✓	98.4%	(sqrt.f64 (PI.f64))
	96.9%	(log.f64 (/.f64 4 (PI.f64)))
	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.3%	(.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)))
✓	99.6%	(.f64 (.f64 f 1/2) (PI.f64))
✓	99.6%	(log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))
✓	99.6%	(/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))
✓	99.5%	(/.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) 4) (PI.f64))
✓	100.0%	(log.f64 (*.f64 f (/.f64 (PI.f64) 4)))
✓	99.6%	(*.f64 f (/.f64 (PI.f64) 4))
✓	99.5%	(/.f64 (log.f64 (*.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))

Compiler

Compiled 281 to 196 computations (30.2% saved)

series40.0ms (0.1%)

Counts

11 → 108

Calls

27 calls:

Time	Variable		Point	Expression
14.0ms	f	@	0	(/.f64 (log.f64 (*.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))
14.0ms	f	@	-inf	(/.f64 (log.f64 (*.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))
10.0ms	f	@	inf	(/.f64 (log.f64 (*.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))
0.0ms	f	@	0	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (pow.f64 (sqrt.f64 (PI.f64)) 2))
0.0ms	f	@	inf	(/.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) 4) (PI.f64))

rewrite752.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`add-sqr-sqrt`
684×	`pow1`
678×	`*-un-lft-identity`
656×	`add-exp-log`
646×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	247
1	757	243

Stop Event

1×	node limit

Counts

11 → 298

Calls

Call 1

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

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

simplify281.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-/r*`
890×	`associate-r`
854×	`associate-/l*`
818×	`associate-l`
466×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	720	12930
1	1770	11976

Stop Event

1×	node limit

Counts

406 → 399

Calls

Call 1

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

eval377.0ms (1%)

Compiler: Compiled 8762 to 6619 computations (24.5% saved)

prune227.0ms (0.6%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	452	12	464
Fresh	7	13	20
Picked	2	3	5
Done	0	2	2
Total	461	30	491

Accuracy

98.4%

Counts

491 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(neg.f64 (pow.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -1))
	97.1%	(neg.f64 (/.f64 (.f64 (-.f64 (log1p.f64 1) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))) 4) (PI.f64)))
✓	96.2%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (pow.f64 (sqrt.f64 (PI.f64)) 2)))
	1.7%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (neg.f64 (PI.f64))))
✓	97.2%	(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
	96.4%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 f 1/2))) (log.f64 (PI.f64))) 4) (PI.f64)))
	96.8%	(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 4) (PI.f64)))
	13.4%	(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) (/.f64 4 (PI.f64))))))) 4) (PI.f64)))
	96.7%	(neg.f64 (+.f64 (/.f64 (+.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)) (/.f64 -4 (PI.f64))))
	96.3%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	97.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))))
	5.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
	5.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
✓	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
	96.7%	(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (neg.f64 (PI.f64)))))
	1.7%	(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (PI.f64))) 3)))
	97.1%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 4)) (neg.f64 (PI.f64)))))
	5.8%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))))
✓	97.2%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
	97.2%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	15.2%	(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
	74.2%	(neg.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
	95.5%	(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
	95.5%	(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))

Compiler

Compiled 1629 to 1271 computations (22% saved)

regimes477.0ms (1.3%)

Counts

62 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 4) (PI.f64)))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (neg.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) 4) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
(neg.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (.f64 f (PI.f64))) (log.f64 4)) (neg.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (neg.f64 (PI.f64))))
(neg.f64 (pow.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -1))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 f 1/2) (PI.f64)))) 4) (PI.f64)))
(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 f 1/2))) (log.f64 (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64)))
(neg.f64 (/.f64 (.f64 (-.f64 (log1p.f64 1) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2)))) 4) (PI.f64)))
(neg.f64 (pow.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))) -1))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(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 (/.f64 (+.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)) (/.f64 -4 (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (PI.f64))) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
(neg.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 2) 4) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) (/.f64 4 (PI.f64))) 3) 1/3))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (log.f64 4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (.f64 (.f64 -1/4 f) (PI.f64)))) 4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))))
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (pow.f64 (sqrt.f64 (PI.f64)) 2)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) (/.f64 4 (PI.f64))))))) 4) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 4))))
(neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
(neg.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
(neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) 4) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))))
(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))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
(neg.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))))) 4) (PI.f64)))

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

Calls

6 calls:

141.0ms	f
88.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
46.0ms	(/.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)))))
24.0ms	(.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)))))))
18.0ms	(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))))))))

Results

Accuracy	Segments	Branch
97.2%	1	`f`
97.2%	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))))))))`
97.2%	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)))))))`
97.2%	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))))))`
97.2%	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)))))`
97.2%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1268 to 964 computations (24% saved)

regimes44.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
97.2%	1	`f`

Compiler

Compiled 170 to 129 computations (24.1% saved)

regimes39.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 4) (PI.f64)))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 (.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))

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

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
96.8%	1	`f`

Compiler

Compiled 93 to 72 computations (22.6% saved)

regimes7.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`f`

Compiler

Compiled 49 to 40 computations (18.4% saved)

regimes6.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
15.2%	1	`f`

Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes5.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))

Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 19 to 17 computations (10.5% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 10 to 9 computations (10% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

338×	`unsub-neg`
292×	`neg-mul-1`
152×	`distribute-lft-neg-in`
110×	`distribute-rgt-neg-in`
104×	`distribute-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	235
1	101	235
2	174	235
3	220	227
4	260	227
5	389	227
6	545	227
7	680	227
8	818	227
9	823	227
10	840	227
11	867	227
12	898	227
13	925	227
14	952	227
15	978	227
16	1000	227
17	1010	227
18	1012	227

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))))
(.f64 4 (neg.f64 (/.f64 (log.f64 (.f64 f (/.f64 (PI.f64) 4))) (neg.f64 (PI.f64)))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (neg.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (*.f64 4 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(*.f64 4 (neg.f64 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64)))))
(*.f64 (fabs.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (neg.f64 4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/2)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 1/2)))
(*.f64 (log.f64 1/2) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (/.f64 (neg.f64 (log.f64 1/131072)) (PI.f64)))
(*.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (neg.f64 4))

Compiler

Compiled 75 to 67 computations (10.7% saved)

soundness1.5s (4%)

Rules

1738×	`fma-def`
1344×	`times-frac`
976×	`associate-r`
976×	`associate-r`
946×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	4606
1	472	4226
2	1876	3890
0	19	100
1	412	100
2	6827	100
0	19	100
1	412	100
2	6827	100
0	35	312
1	738	308
0	763	18129
1	1867	16035
0	464	9561
1	1014	8423
2	5666	8423
0	47	445
1	1023	445
0	35	312
1	738	308
0	35	312
1	738	308
0	763	18129
1	1867	16035

Stop Event

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

Compiler

Compiled 453 to 354 computations (21.9% saved)

end0.0ms (0%)

preprocess88.0ms (0.2%)

Compiler: Compiled 214 to 170 computations (20.6% saved)

analyze1.1s (3%)

sample23.2s (62.9%)

preprocess1.4s (3.8%)

eval10.0ms (0%)

prune8.0ms (0%)

localize1.2s (3.3%)

series256.0ms (0.7%)

rewrite70.0ms (0.2%)

simplify190.0ms (0.5%)

eval127.0ms (0.3%)

prune51.0ms (0.1%)

localize1.7s (4.5%)

series274.0ms (0.7%)

rewrite128.0ms (0.3%)

simplify153.0ms (0.4%)

eval193.0ms (0.5%)

prune133.0ms (0.4%)

localize627.0ms (1.7%)

series14.0ms (0%)

rewrite176.0ms (0.5%)

simplify233.0ms (0.6%)

eval560.0ms (1.5%)

prune627.0ms (1.7%)

localize568.0ms (1.5%)

series40.0ms (0.1%)

rewrite752.0ms (2%)

simplify281.0ms (0.8%)

eval377.0ms (1%)

prune227.0ms (0.6%)

regimes477.0ms (1.3%)

regimes44.0ms (0.1%)

regimes39.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify74.0ms (0.2%)

soundness1.5s (4%)

end0.0ms (0%)

preprocess88.0ms (0.2%)

Profiling