Metrics for VandenBroeck and Keller, Equation (20)

analyze426.0ms (1.6%)

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)

sample17.2s (65.6%)

Results

7.8s	7838×	body	8192	exit
2.4s	4030×	body	1024	valid
2.2s	3984×	body	1024	invalid
1.7s	7701×	body	256	unsamplable
999.0ms	1918×	body	512	invalid
854.0ms	2029×	body	512	valid
692.0ms	508×	body	2048	valid
386.0ms	1689×	body	256	valid
194.0ms	998×	body	256	invalid
2.0ms	3×	body	2048	invalid

Bogosity

preprocess58.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

eval3.0ms (0%)

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

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.6%	(.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))))
▶	6.6%	(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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	6.6%	(.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))))
▶	6.6%	(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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 148 to 112 computations (24.3% saved)

localize1.3s (5%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
✓	99.4%	(.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))))
✓	98.4%	(/.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)))))
✓	9.9%	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	98.4%	(/.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)))))
✓	9.9%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 356 to 238 computations (33.1% saved)

series248.0ms (0.9%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
59.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
57.0ms	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)))))))
37.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
32.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
29.0ms	f	@	-inf	(.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))))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`add-sqr-sqrt`
500×	`pow1`
500×	`*-un-lft-identity`
482×	`add-exp-log`
478×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	200
1	718	200

Stop Event

1×	node limit

Counts

8 → 216

Calls

Call 1

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

Outputs
-64
-16
-8
-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
-8
-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
-8
-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
-8
-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
-8
-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
-8
-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
-8
-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
-8
-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

simplify134.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1584×	`times-frac`
1402×	`fma-def`
782×	`distribute-rgt-in`
782×	`distribute-lft-in`
704×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	7028
1	509	6492
2	1860	5892

Stop Event

1×	node limit

Counts

312 → 105

Calls

Call 1

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

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

eval106.0ms (0.4%)

Compiler: Compiled 4916 to 3663 computations (25.5% saved)

prune62.0ms (0.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	110	9	119

Accuracy

98.4%

Counts

119 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	6.6%	(.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 -1/4 f) (PI.f64)))))) (neg.f64 (/.f64 4 (PI.f64))))
▶	6.6%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
▶	96.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	96.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	96.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))))
	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))))
	96.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	6.6%	(.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 -1/4 f) (PI.f64)))))) (neg.f64 (/.f64 4 (PI.f64))))
▶	6.6%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
▶	96.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	96.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	96.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 256))))
	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))))

Compiler

Compiled 864 to 684 computations (20.8% saved)

localize1.7s (6.3%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.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))
✓	98.4%	(/.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))))))
✓	9.9%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
✓	99.9%	(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
✓	99.9%	(exp.f64 (neg.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)))) 256))
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.6%	(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
✓	99.5%	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))))
✓	98.4%	(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
✓	98.4%	(fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2)))

Compiler

Compiled 569 to 387 computations (32% saved)

series231.0ms (0.9%)

Counts

18 → 144

Calls

45 calls:

Time	Variable		Point	Expression
93.0ms	f	@	0	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
21.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 256))
20.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 256))
17.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
16.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite134.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`add-sqr-sqrt`
1014×	`pow1`
994×	`add-exp-log`
982×	`add-log-exp`
974×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	626
1	1150	626

Stop Event

1×	node limit

Counts

18 → 177

Calls

Call 1

Inputs
(fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2)))
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 256))
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.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 (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 f (PI.f64))

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

simplify188.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-r`
958×	`associate-l`
688×	`fma-def`
648×	`exp-prod`
566×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	615	15499
1	1549	12233
2	6971	12213

Stop Event

1×	node limit

Counts

321 → 351

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (PI.f64))))))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2)))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4))))) (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
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(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
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(log1p.f64 (expm1.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f)))))
(.f64 1 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f))
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(.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64))))))
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(pow.f64 (*.f64 (PI.f64) f) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

Outputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 (.f64 f f) (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 f (.f64 f (*.f64 (PI.f64) 1/12))))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (PI.f64))))))
(fma.f64 (.f64 f f) (.f64 (PI.f64) 1/12) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 -1/8 (.f64 (.f64 (pow.f64 f 4) (pow.f64 (.f64 (PI.f64) 1/12) 2)) (PI.f64)))))
(fma.f64 (.f64 f f) (.f64 (PI.f64) 1/12) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/144) (.f64 (PI.f64) (pow.f64 f 4))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
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(/.f64 (.f64 4 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
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(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))))
(cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64)) (.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 f (PI.f64))
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(cbrt.f64 (.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (.f64 f (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))

eval243.0ms (0.9%)

Compiler: Compiled 13409 to 9562 computations (28.7% saved)

prune127.0ms (0.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	376	22	398
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	381	26	407

Accuracy

98.7%

Counts

407 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	6.6%	(.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 -1/4 f) (PI.f64)))))) (neg.f64 (/.f64 4 (PI.f64))))
▶	97.1%	(.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))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (PI.f64)))
✓	6.6%	(.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)))
	6.6%	(.f64 -4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
	96.5%	(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (-.f64 (/.f64 (*.f64 f 0) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	6.6%	(.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (PI.f64)))))
▶	97.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4)))
	96.7%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
✓	96.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	96.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	96.4%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.4%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
▶	95.8%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
	96.5%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))
	96.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	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)))) 256))))
▶	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.2%	(neg.f64 (.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
▶	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
	95.3%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.1%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
	96.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	6.6%	(.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 -1/4 f) (PI.f64)))))) (neg.f64 (/.f64 4 (PI.f64))))
▶	97.1%	(.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))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (PI.f64)))
✓	6.6%	(.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)))
	6.6%	(.f64 -4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
	96.5%	(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (-.f64 (/.f64 (*.f64 f 0) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	6.6%	(.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (PI.f64)))))
▶	97.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4)))
	96.7%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
✓	96.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	96.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	96.4%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.4%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
▶	95.8%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
	96.5%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))
	96.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	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)))) 256))))
▶	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.2%	(neg.f64 (.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
▶	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
	95.3%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.1%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))

Compiler

Compiled 1972 to 1574 computations (20.2% saved)

localize537.0ms (2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	99.6%	(*.f64 f (PI.f64))
✓	99.6%	(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))
✓	99.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))) (PI.f64))
✓	98.9%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))
✓	99.6%	(/.f64 (/.f64 4 f) (PI.f64))
✓	99.5%	(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
✓	98.9%	(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))
✓	98.9%	(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)
✓	99.6%	(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
✓	99.5%	(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
✓	98.4%	(log.f64 (*.f64 (PI.f64) 1/12))
✓	98.4%	(*.f64 (PI.f64) 1/12)
✓	100.0%	(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
✓	99.6%	(/.f64 (/.f64 4 f) (PI.f64))
✓	99.5%	(/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4))
✓	98.4%	(*.f64 (PI.f64) 1/12)

Compiler

Compiled 416 to 265 computations (36.3% saved)

series38.0ms (0.1%)

Counts

15 → 144

Calls

36 calls:

Time	Variable		Point	Expression
16.0ms	f	@	0	(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
3.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))
2.0ms	f	@	inf	(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))
2.0ms	f	@	inf	(/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4))
2.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))

rewrite132.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`add-sqr-sqrt`
836×	`pow1`
830×	`*-un-lft-identity`
816×	`add-exp-log`
804×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	545
1	902	545

Stop Event

1×	node limit

Counts

15 → 191

Calls

Call 1

Inputs
(*.f64 (PI.f64) 1/12)
(/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4))
(/.f64 (/.f64 4 f) (PI.f64))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (PI.f64) 1/12)
(log.f64 (*.f64 (PI.f64) 1/12))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))) (PI.f64))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) 1/12)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))) 1)
(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (.f64 (PI.f64) 1/4)))
(.f64 1 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 (.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (.f64 (.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))))) 1)
(.f64 1 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (.f64 (cbrt.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))))) (cbrt.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (sqrt.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (sqrt.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) 1)
(log.f64 (exp.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))))))
(cbrt.f64 (.f64 (.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))))
(expm1.f64 (log1p.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))))
(exp.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))))
(log1p.f64 (expm1.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) 1/12)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(+.f64 (log.f64 1/12) (log.f64 (PI.f64)))
(+.f64 (log.f64 (PI.f64)) (log.f64 1/12))
(+.f64 0 (log.f64 (*.f64 (PI.f64) 1/12)))
(+.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/12))) (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/12))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) (cbrt.f64 (.f64 (PI.f64) 1/12)))) (log.f64 (cbrt.f64 (.f64 (PI.f64) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) 1/12)))) 1)
(.f64 1 (log.f64 (.f64 (PI.f64) 1/12)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/12))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/12)))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) 1/12))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) (log.f64 (.f64 (PI.f64) 1/12))) (log.f64 (*.f64 (PI.f64) 1/12))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)))) 1)
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))))) 1)
(.f64 1 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12))))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12)))) (cbrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))))) (cbrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12)))))
(.f64 (sqrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/12)))))
(/.f64 (+.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (log.f64 (.f64 (PI.f64) 1/12)) 3)) (fma.f64 (log.f64 f) (log.f64 f) (-.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) (log.f64 (.f64 (PI.f64) 1/12))) (.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))))))
(/.f64 (-.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (.f64 (PI.f64) 1/12)) (log.f64 (.f64 (PI.f64) 1/12)))) (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12))))
(pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) 1)
(log.f64 (.f64 f (.f64 (PI.f64) 1/12)))
(log.f64 (+.f64 1 (-.f64 (.f64 f (.f64 (PI.f64) 1/12)) 1)))
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(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))) 1)
(.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 1 (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))

simplify202.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

730×	`associate-r`
698×	`associate-l`
664×	`fma-def`
596×	`log-prod`
550×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	638	17473
1	1566	15413
2	6397	15389

Stop Event

1×	node limit

Counts

335 → 365

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(.f64 1/12 (.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(.f64 1/12 (.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 2) (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)))) 1)
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))) 1)
(.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 1 (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))

Outputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (.f64 f f))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (fma.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (.f64 (.f64 -1/1152 (pow.f64 f 4)) (pow.f64 (PI.f64) 3))))
(fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/1152 (pow.f64 f 4)))))
(+.f64 (.f64 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
(fma.f64 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (fma.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (.f64 (*.f64 -1/1152 (pow.f64 f 4)) (pow.f64 (PI.f64) 3)))))
(fma.f64 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/1152 (pow.f64 f 4))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (.f64 f (.f64 (PI.f64) 1/12)))))
(+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (fma.f64 4 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 192 (.f64 f (.f64 f (pow.f64 (PI.f64) 3))))) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))
(+.f64 (/.f64 192 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))) (fma.f64 4 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -4608 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))) 1)
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192))) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/192)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/192)))

eval243.0ms (0.9%)

Compiler: Compiled 12931 to 8798 computations (32% saved)

prune123.0ms (0.5%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	409	9	418
Fresh	3	16	19
Picked	2	3	5
Done	0	2	2
Total	414	30	444

Accuracy

98.7%

Counts

444 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	6.6%	(.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 -1/4 f) (PI.f64)))))) (neg.f64 (/.f64 4 (PI.f64))))
	97.1%	(.f64 -4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)))
✓	97.1%	(.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))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (PI.f64)))
✓	6.6%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
▶	96.7%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
	6.6%	(.f64 -4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
	96.5%	(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (-.f64 (.f64 (/.f64 0 (PI.f64)) f) (/.f64 (log.f64 f) (PI.f64)))))
	6.6%	(.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (PI.f64)))))
▶	97.0%	(neg.f64 (fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/1152 (pow.f64 f 4))))))
✓	97.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4)))
▶	97.1%	(neg.f64 (/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
	1.7%	(neg.f64 (/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
✓	96.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	96.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	96.4%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.4%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
	94.9%	(neg.f64 (/.f64 4 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3)))))
	96.5%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	96.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	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)))) 256))))
✓	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
▶	95.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.2%	(neg.f64 (.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
▶	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (.f64 (PI.f64) 1/12) 1))) (PI.f64))))
	95.3%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.1%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
	96.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	6.6%	(.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 -1/4 f) (PI.f64)))))) (neg.f64 (/.f64 4 (PI.f64))))
	97.1%	(.f64 -4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)))
✓	97.1%	(.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))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (PI.f64)))
✓	6.6%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
▶	96.7%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
	6.6%	(.f64 -4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
	96.5%	(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (-.f64 (.f64 (/.f64 0 (PI.f64)) f) (/.f64 (log.f64 f) (PI.f64)))))
	6.6%	(.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (PI.f64)))))
▶	97.0%	(neg.f64 (fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/1152 (pow.f64 f 4))))))
✓	97.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4)))
▶	97.1%	(neg.f64 (/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
	1.7%	(neg.f64 (/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
✓	96.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	96.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	96.4%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.4%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
	94.9%	(neg.f64 (/.f64 4 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3)))))
	96.5%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	96.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	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)))) 256))))
✓	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
▶	95.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.2%	(neg.f64 (.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
▶	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (.f64 (PI.f64) 1/12) 1))) (PI.f64))))
	95.3%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.3%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.1%	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))

Compiler

Compiled 2150 to 1688 computations (21.5% saved)

localize411.0ms (1.6%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.5%	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
✓	98.5%	(pow.f64 (PI.f64) 3)
✓	97.7%	(PI.f64)
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	98.3%	(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
✓	97.7%	(PI.f64)
✓	99.5%	(/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))
	98.5%	(*.f64 (PI.f64) 1/12)
✓	98.5%	(log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))
✓	97.7%	(PI.f64)
	99.6%	(*.f64 f (PI.f64))
✓	99.6%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.5%	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
✓	97.7%	(PI.f64)
✓	99.5%	(/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
✓	99.0%	(.f64 f (.f64 (PI.f64) 1/12))
	98.5%	(*.f64 (PI.f64) 1/12)
✓	97.7%	(PI.f64)

Compiler

Compiled 381 to 231 computations (39.4% saved)

series12.0ms (0%)

Counts

17 → 96

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	f	@	0	(/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))
0.0ms	f	@	0	(/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
0.0ms	f	@	-inf	(/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
0.0ms	f	@	inf	(/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
0.0ms	f	@	inf	(/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))

rewrite127.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`add-sqr-sqrt`
628×	`pow1`
622×	`*-un-lft-identity`
614×	`add-exp-log`
608×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	287
1	761	279

Stop Event

1×	node limit

Counts

17 → 385

Calls

Call 1

Inputs
(PI.f64)
(.f64 f (.f64 (PI.f64) 1/12))
(/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
(PI.f64)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(PI.f64)
(log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))
(/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))) (PI.f64))
(PI.f64)
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(/.f64 4 (*.f64 (PI.f64) f))
(PI.f64)
(pow.f64 (PI.f64) 3)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 f 1/12) (PI.f64)))) 1)
(pow.f64 (.f64 (.f64 f 1/12) (PI.f64)) 1)
(pow.f64 (E.f64) (log.f64 (.f64 (.f64 f 1/12) (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (.f64 f 1/12) (PI.f64))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 f 1/12) (PI.f64))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64))))) (sqrt.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 2) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 f 1/12) (PI.f64)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/1728))
(expm1.f64 (log1p.f64 (.f64 (.f64 f 1/12) (PI.f64))))
(exp.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 f 1/12) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 f 1/12) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))) 1)
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(.f64 1 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))) 2) (cbrt.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 1/2))
(.f64 (neg.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 1 (.f64 (PI.f64) -1/4)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) 4)
(.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 4 (PI.f64)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) 2) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (cbrt.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) 2) (.f64 1/2 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) (*.f64 1/2 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f))))) 1/4))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) 1) (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) 2)) (/.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (sqrt.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (/.f64 4 (PI.f64))))
(pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))) 1/2) 2)
(pow.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))))) -1)
(neg.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 2))
(log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/4)) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))

simplify173.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1954×	`log-prod`
820×	`times-frac`
788×	`associate-r`
754×	`associate-l`
656×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	612	12533
1	1399	11639
2	6774	11639

Stop Event

1×	node limit

Counts

481 → 371

Calls

Call 1

Inputs
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 1/12 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 f 1/12) (PI.f64)))) 1)
(pow.f64 (.f64 (.f64 f 1/12) (PI.f64)) 1)
(pow.f64 (E.f64) (log.f64 (.f64 (.f64 f 1/12) (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (.f64 f 1/12) (PI.f64))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 f 1/12) (PI.f64))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64))))) (sqrt.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 2) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 f 1/12) (PI.f64)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/1728))
(expm1.f64 (log1p.f64 (.f64 (.f64 f 1/12) (PI.f64))))
(exp.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 f 1/12) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 f 1/12) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))))) 1)
(.f64 4 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
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(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64))) (PI.f64)) 2))
(log.f64 (pow.f64 (.f64 (.f64 f 1/12) (PI.f64)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64))) (PI.f64)) 3))
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(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 f 1/12) (PI.f64))) (PI.f64))))
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(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
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(sqrt.f64 (pow.f64 (PI.f64) 2))
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(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
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(log1p.f64 (expm1.f64 (PI.f64)))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
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(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(-.f64 (log.f64 -4) (log.f64 (*.f64 (PI.f64) (neg.f64 f))))
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(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
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(/.f64 (-.f64 (.f64 (log.f64 4) (log.f64 4)) (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 (PI.f64) f)))) (+.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
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(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))) 1)
(-.f64 (/.f64 (log.f64 4) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4)))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (*.f64 (PI.f64) -1/4))
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(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/4)) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) f) 1/4) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))

Outputs
(.f64 1/12 (.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/4)) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (log.f64 (.f64 (*.f64 f (PI.f64)) 1/4)) (/.f64 1 (neg.f64 (PI.f64))))
(/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(/.f64 -4 (neg.f64 (*.f64 f (PI.f64))))
(/.f64 -4 (*.f64 f (neg.f64 (PI.f64))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (.f64 (.f64 (PI.f64) f) 1/4) -1)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))
(fabs.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))

eval332.0ms (1.3%)

Compiler: Compiled 15888 to 10472 computations (34.1% saved)

prune168.0ms (0.6%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	733	8	741
Fresh	10	10	20
Picked	1	4	5
Done	1	4	5
Total	745	26	771

Accuracy

98.7%

Counts

771 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	6.6%	(.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 -1/4 f) (PI.f64)))))) (neg.f64 (/.f64 4 (PI.f64))))
✓	97.1%	(.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))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (PI.f64)))
✓	6.6%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	96.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓	96.7%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
	6.6%	(.f64 -4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
	96.6%	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
	6.6%	(.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (PI.f64)))))
	95.5%	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
✓	97.0%	(neg.f64 (fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/1152 (pow.f64 f 4))))))
✓	97.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4)))
✓	97.1%	(neg.f64 (/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
	1.7%	(neg.f64 (/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
	96.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	96.4%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.5%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	96.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
	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)))) 256))))
✓	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
	95.0%	(neg.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64)))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (.f64 (PI.f64) 1/12) 1))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
✓	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (.f64 (PI.f64) 1/12) 1))) (PI.f64))))
	78.2%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))

Compiler

Compiled 1467 to 1066 computations (27.3% saved)

regimes96.0ms (0.4%)

Counts

50 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (.f64 (PI.f64) 1/12) 1))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4)))
(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)))) 256))))
(neg.f64 (/.f64 4 (cbrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (.f64 (PI.f64) 1/12) 1))) (cbrt.f64 (pow.f64 (PI.f64) 3)))))
(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (-.f64 (.f64 (/.f64 0 (PI.f64)) f) (/.f64 (log.f64 f) (PI.f64)))))
(.f64 -4 (+.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (PI.f64)) (-.f64 (/.f64 (*.f64 f 0) (PI.f64)) (/.f64 (log.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)))) 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)))) 256))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) f) 1/12 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64)))))
(neg.f64 (fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/1152 (pow.f64 f 4))))))
(neg.f64 (.f64 4 (/.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/12))) (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))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.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 -4 (/.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64))))))) (PI.f64)))
(.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 -1/4 f) (PI.f64)))))) (neg.f64 (/.f64 4 (PI.f64))))
(.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 -4 (/.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/192)))) (PI.f64)))
(.f64 -4 (log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (.f64 (log.f64 f) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))

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

Calls

6 calls:

26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
24.0ms	f
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
97.1%	1	`f`
97.1%	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))))))))`
97.1%	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)))))))`
97.1%	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))))))`
97.1%	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)))))`
97.1%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1108 to 785 computations (29.2% saved)

regimes23.0ms (0.1%)

Counts

27 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (.f64 (PI.f64) 1/12) 1))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`f`

Compiler

Compiled 345 to 247 computations (28.4% saved)

regimes15.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log1p.f64 (-.f64 (.f64 (PI.f64) 1/12) 1))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`f`

Compiler

Compiled 206 to 148 computations (28.2% saved)

regimes10.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`f`

Compiler

Compiled 103 to 75 computations (27.2% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))

Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

52×	`neg-mul-1`
38×	`unsub-neg`
32×	`*-commutative`
22×	`+-commutative`
20×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	209
1	71	209
2	93	209
3	108	205
4	117	205
5	152	205
6	204	205

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))

Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) (/.f64 4 (.f64 f (PI.f64)))))) (.f64 (PI.f64) 1/4))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/128)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 1/128)))
(*.f64 (log.f64 1/128) (/.f64 -1 (/.f64 (PI.f64) 4)))

Compiler

Compiled 67 to 55 computations (17.9% saved)

soundness1.3s (5%)

Rules

1584×	`times-frac`
1584×	`times-frac`
1436×	`times-frac`
1402×	`fma-def`
1402×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	7028
1	509	6492
2	1860	5892
0	53	626
1	1150	626
0	615	15499
1	1549	12233
2	6971	12213
0	31	200
1	718	200
0	31	397
1	91	363
2	240	327
3	720	327
4	2345	327
0	615	15499
1	1549	12233
2	6971	12213
0	638	17473
1	1566	15413
2	6397	15389
0	174	7028
1	509	6492
2	1860	5892
0	42	545
1	902	545

Stop Event

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

Compiler

Compiled 1042 to 768 computations (26.3% saved)

end0.0ms (0%)

preprocess76.0ms (0.3%)

Compiler: Compiled 202 to 152 computations (24.8% saved)

analyze426.0ms (1.6%)

sample17.2s (65.6%)

preprocess58.0ms (0.2%)

eval3.0ms (0%)

prune4.0ms (0%)

localize1.3s (5%)

series248.0ms (0.9%)

rewrite80.0ms (0.3%)

simplify134.0ms (0.5%)

eval106.0ms (0.4%)

prune62.0ms (0.2%)

localize1.7s (6.3%)

series231.0ms (0.9%)

rewrite134.0ms (0.5%)

simplify188.0ms (0.7%)

eval243.0ms (0.9%)

prune127.0ms (0.5%)

localize537.0ms (2%)

series38.0ms (0.1%)

rewrite132.0ms (0.5%)

simplify202.0ms (0.8%)

eval243.0ms (0.9%)

prune123.0ms (0.5%)

localize411.0ms (1.6%)

series12.0ms (0%)

rewrite127.0ms (0.5%)

simplify173.0ms (0.7%)

eval332.0ms (1.3%)

prune168.0ms (0.6%)

regimes96.0ms (0.4%)

regimes23.0ms (0.1%)

regimes15.0ms (0.1%)

regimes10.0ms (0%)

regimes3.0ms (0%)

simplify11.0ms (0%)

soundness1.3s (5%)

end0.0ms (0%)

preprocess76.0ms (0.3%)

Profiling