Metrics for VandenBroeck and Keller, Equation (20)

analyze419.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample18.0s (66.3%)

Results

8.3s	7752×	body	8192	exit
2.6s	4078×	body	1024	valid
2.3s	4051×	body	1024	invalid
1.7s	7925×	body	256	unsamplable
918.0ms	2009×	body	512	valid
810.0ms	1975×	body	512	invalid
594.0ms	471×	body	2048	valid
509.0ms	1698×	body	256	valid
205.0ms	1004×	body	256	invalid
1.0ms	2×	body	2048	invalid

Bogosity

preprocess55.0ms (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	270
1	91	242
2	240	218
3	720	218
4	2345	218

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) (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) (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 39 to 31 computations (20.5% saved)

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1520×	`fma-def`
1062×	`fma-neg`
734×	`div-sub`
486×	`associate-/r*`
428×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	127	117
3	334	109
4	987	109
5	2558	109
6	6093	109

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

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

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

eval4.0ms (0%)

Compiler: Compiled 240 to 170 computations (29.2% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

5.5%

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.5%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶	5.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	5.5%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶	5.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize1.9s (6.9%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓	98.7%	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64))))))
✓	97.0%	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))))
✓	11.6%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	98.7%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
✓	97.0%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	11.6%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 343 to 237 computations (30.9% saved)

series207.0ms (0.8%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
51.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
33.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
32.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
21.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64))))))
20.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64))))))

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	200
1	702	200

Stop Event

1×	node limit

Counts

8 → 288

Calls

Call 1

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

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

simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	9380
1	548	8540
2	2068	7932

Stop Event

1×	node limit

Counts

384 → 121

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(.f64 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)))
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(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(.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)))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(.f64 (PI.f64) (.f64 1/2 f))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) 1/192))
(+.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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) -4) (PI.f64))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.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 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))))) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) -4) (PI.f64))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.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 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))))) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) -4) (PI.f64))
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144
-262144
-64
-16
-4
-3
-2
-1
-1/2
-1/3
-1/4
-1/8
-1/64
-1/262144
0
1/4096
1/256
1/64
1/16
1/4
1/2
3/4
1
3/2
2
3
4
5
6
8
9
16
27
64
256
4096
262144

eval94.0ms (0.3%)

Compiler: Compiled 5484 to 4114 computations (25% saved)

prune64.0ms (0.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	110	11	121
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	112	11	123

Accurracy

95.8%

Counts

123 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.1%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
	5.5%	(.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))))))) (/.f64 -4 (PI.f64)))
▶	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (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)))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	5.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
▶	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))))))
	95.1%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
	5.5%	(.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))))))) (/.f64 -4 (PI.f64)))
▶	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (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)))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	5.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
▶	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))))))

Compiler

Compiled 1340 to 1076 computations (19.7% saved)

localize1.0s (3.8%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (*.f64 1/16 (PI.f64)) 1/2) 1))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
✓	98.4%	(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
✓	99.7%	(.f64 (.f64 (PI.f64) 1/2) f)
✓	99.6%	(/.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))
✓	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 (*.f64 (PI.f64) 1/2) f))))
✓	97.3%	(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)))
✓	99.7%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	100.0%	(log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))
✓	99.7%	(.f64 (.f64 (PI.f64) 1/2) f)
✓	99.6%	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
✓	98.9%	(.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))
✓	98.4%	(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Compiler

Compiled 796 to 608 computations (23.6% saved)

series182.0ms (0.7%)

Counts

19 → 132

Calls

33 calls:

Time	Variable		Point	Expression
69.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (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)))) (.f64 (.f64 (PI.f64) 1/2) f)))
19.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (.f64 (PI.f64) 1/2) f)))
16.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
15.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))

rewrite139.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`add-sqr-sqrt`
966×	`pow1`
940×	`add-exp-log`
932×	`add-log-exp`
928×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	579
1	1125	579

Stop Event

1×	node limit

Counts

19 → 166

Calls

Call 1

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

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

simplify132.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

912×	`associate-r`
840×	`associate-l`
818×	`log-prod`
672×	`exp-prod`
532×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	416	9876
1	904	8990
2	4980	8990

Stop Event

1×	node limit

Counts

298 → 224

Calls

Call 1

Inputs
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(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
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(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
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(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
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(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (+.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 1)
(log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (*.f64 1/2 f)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (*.f64 1/2 f))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))))
(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (*.f64 1/2 f))))
(.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (/.f64 1 (.f64 (PI.f64) (*.f64 1/2 f))))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (*.f64 1/2 f)))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))) 1)
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1)
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) (.f64 1/2 f))))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/48) (.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 (.f64 (PI.f64) 1/48) -2) (.f64 (.f64 (PI.f64) 1/16) 2))
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)) 1)
(log.f64 (exp.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))

Outputs
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.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 4 (/.f64 (PI.f64) (log.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 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.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 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.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 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 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 (+.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 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
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(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)))) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))) (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) 1)
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(log.f64 (exp.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(cbrt.f64 (.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(exp.f64 (log.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))
(fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(pow.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) f) 1)
(.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)))))
(.f64 f (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))
(log.f64 (exp.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) f)))
(.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)))))
(.f64 f (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) f) (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) f)) (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) f)))
(.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)))))
(.f64 f (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) f)))
(.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)))))
(.f64 f (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))
(exp.f64 (log.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) f)))
(.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)))))
(.f64 f (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2)) f)))
(.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)))))
(.f64 f (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48)) (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)) 1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 2 (/.f64 1 (.f64 (PI.f64) (*.f64 1/2 f))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 1 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (sqrt.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1)
(.f64 (PI.f64) (.f64 f 1/2))
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (+.f64 (.f64 (log.f64 f) (log.f64 f)) (.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
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(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4))
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (*.f64 1/2 f))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (/.f64 1 (.f64 (PI.f64) (*.f64 1/2 f))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (*.f64 1/2 f)))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))) 1)
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 (PI.f64) (.f64 1/2 f)))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f 1/2)))
(.f64 4 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (.f64 f (PI.f64))))
(pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1)
(.f64 (PI.f64) (.f64 f 1/2))
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 1/2 f)) (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(*.f64 (PI.f64) 1/48)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) 1/48) (.f64 (PI.f64) 1/48)) (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (PI.f64) 2)))
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(*.f64 1 (PI.f64))
(PI.f64)
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(+.f64 (.f64 (.f64 (PI.f64) 1/48) -2) (.f64 (.f64 (PI.f64) 1/16) 2))
(*.f64 (PI.f64) 1/12)
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))
(*.f64 (PI.f64) 1/12)
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(*.f64 (PI.f64) 1/12)
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(*.f64 (PI.f64) 1/12)
(pow.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2)) 1)
(*.f64 (PI.f64) 1/12)
(log.f64 (exp.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(*.f64 (PI.f64) 1/12)
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2)) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (.f64 (PI.f64) 1/16) 2))) (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(*.f64 (PI.f64) 1/12)
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(*.f64 (PI.f64) 1/12)
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(*.f64 (PI.f64) 1/12)
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (.f64 (*.f64 (PI.f64) 1/16) 2))))
(*.f64 (PI.f64) 1/12)

eval149.0ms (0.5%)

Compiler: Compiled 7471 to 5735 computations (23.2% saved)

prune85.0ms (0.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	227	16	243
Fresh	1	5	6
Picked	5	0	5
Done	0	0	0
Total	233	21	254

Accurracy

96.0%

Counts

254 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.5%	(.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))))))) (/.f64 -4 (PI.f64)))
	95.1%	(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
▶	94.9%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	95.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	93.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	94.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (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)))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	5.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/8 f) (PI.f64))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 3)) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
▶	93.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	93.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	95.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	93.7%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
▶	94.6%	(neg.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
	5.5%	(.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))))))) (/.f64 -4 (PI.f64)))
	95.1%	(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
▶	94.9%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	95.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	93.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	94.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (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)))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	5.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/8 f) (PI.f64))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 3)) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
▶	93.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	93.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	95.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	93.7%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
▶	94.6%	(neg.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2108 to 1732 computations (17.8% saved)

localize696.0ms (2.6%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
✓	99.2%	(.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
✓	99.2%	(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
✓	95.8%	(PI.f64)
✓	99.7%	(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))))
✓	98.4%	(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
✓	95.8%	(PI.f64)
✓	99.7%	(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
✓	99.7%	(.f64 (PI.f64) (.f64 1/2 f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))))
✓	95.8%	(PI.f64)
✓	99.7%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.6%	(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
✓	99.5%	(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
✓	95.8%	(PI.f64)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (*.f64 (PI.f64) 1/12)))))
✓	99.0%	(.f64 f (.f64 (PI.f64) 1/12))
✓	98.5%	(*.f64 (PI.f64) 1/12)
✓	95.8%	(PI.f64)

Compiler

Compiled 516 to 379 computations (26.6% saved)

series74.0ms (0.3%)

Counts

20 → 156

Calls

42 calls:

Time	Variable		Point	Expression
26.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))))
15.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))))
11.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))))
3.0ms	f	@	inf	(.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
2.0ms	f	@	0	(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))

rewrite165.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`add-sqr-sqrt`
722×	`pow1`
718×	`*-un-lft-identity`
704×	`add-exp-log`
696×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	466
1	895	462

Stop Event

1×	node limit

Counts

20 → 490

Calls

Call 1

Inputs
(PI.f64)
(*.f64 (PI.f64) 1/12)
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (*.f64 (PI.f64) 1/12)))))
(PI.f64)
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(PI.f64)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))))
(.f64 (PI.f64) (.f64 1/2 f))
(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(PI.f64)
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(PI.f64)
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
(.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))
(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/12) f))) 1)
(pow.f64 (.f64 (.f64 (PI.f64) 1/12) f) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/12) f)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/12) f)) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/12) f) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/12) f))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/1728))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/12) f)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/12) f)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/12) f)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/12) f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 2))
(log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 1 (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (PI.f64) 1/4)) 3) (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) 3) (pow.f64 (/.f64 1 (.f64 (PI.f64) 1/4)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (.f64 (PI.f64) 1/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (*.f64 (PI.f64) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 1)
(.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 2)
(pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 4) -1)
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3))
(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))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1)
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1)
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
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(/.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2)) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 16)))
(/.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 1/4 (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))) (.f64 1/4 (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) 1) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) 1/4))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) 1) (.f64 (.f64 (PI.f64) 1/4) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (.f64 (PI.f64) 1/4) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (.f64 (PI.f64) 1/4) 1/4))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1) (.f64 (.f64 (PI.f64) 1/4) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (.f64 (PI.f64) 1/4) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (.f64 (PI.f64) 1/4) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 3)
(pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 3/2) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 6))
(log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 3))
(cbrt.f64 (.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 3) 1/64) (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 6)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))
(exp.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (*.f64 (PI.f64) 1/4)))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (*.f64 (PI.f64) 1/4))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))

simplify209.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-/r*`
1200×	`associate-r`
1130×	`associate-l`
490×	`sqr-pow`
412×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	814	25280
1	2055	21034

Stop Event

1×	node limit

Counts

646 → 494

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)))))
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(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
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(-.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)))))
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(-.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)))))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(-.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/2 (PI.f64)))))
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(/.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 1/4 (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))) (.f64 1/4 (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) 1) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) 1/4))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) 1) (.f64 (.f64 (PI.f64) 1/4) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (.f64 (PI.f64) 1/4) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (.f64 (PI.f64) 1/4) 1/4))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1) (.f64 (.f64 (PI.f64) 1/4) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (.f64 (PI.f64) 1/4) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (.f64 (PI.f64) 1/4) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 3)
(pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 3/2) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 6))
(log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 3))
(cbrt.f64 (.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 3) 1/64) (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 6)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))
(exp.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (*.f64 (PI.f64) 1/4)))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (*.f64 (PI.f64) 1/4))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))

Outputs
(.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 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (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 1/12 (.f64 f (.f64 f (PI.f64))) (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (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)))))
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(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 f 4) (*.f64 (pow.f64 (PI.f64) 3) -1/1152))))
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(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 -1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))))))
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(.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 1/12 (PI.f64)))) (PI.f64)))
(/.f64 (.f64 4 (log.f64 (.f64 1/12 (*.f64 f (PI.f64))))) (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))))
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(fma.f64 4 (/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (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)))))
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(/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) 3) (.f64 (PI.f64) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 16))))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 3)) 16))
(/.f64 (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2)) (.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (/.f64 (pow.f64 (PI.f64) 2) 16)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64)))))) 3) (.f64 (.f64 (PI.f64) -1/4) (/.f64 (pow.f64 (PI.f64) 2) 16)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/4) 16))
(/.f64 (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (neg.f64 (.f64 (PI.f64) 1/4)) (*.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64)))))) (.f64 (PI.f64) -1/4)) (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) 2))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)) (.f64 (PI.f64) (.f64 (PI.f64) -1/16)))
(/.f64 (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))) (.f64 (neg.f64 (.f64 (PI.f64) 1/4)) (*.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64)))))) (.f64 (PI.f64) -1/4)) (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) 2))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)) (.f64 (PI.f64) (.f64 (PI.f64) -1/16)))
(/.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2)) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 16)))
(/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) 3) (.f64 (PI.f64) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 16))))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 3)) 16))
(/.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 1/4 (.f64 (PI.f64) 1/4)))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(/.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))) (.f64 1/4 (.f64 (PI.f64) 1/4)))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) 1) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) 3) (.f64 (PI.f64) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 16))))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 3)) 16))
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64)))))) 3) (.f64 (.f64 (PI.f64) -1/4) (/.f64 (pow.f64 (PI.f64) 2) 16)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/4) 16))
(/.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) 2) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) 16) 1/4))
(/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) 3) (.f64 (PI.f64) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 16))))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 3)) 16))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) 1) (.f64 (.f64 (PI.f64) 1/4) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16))
(/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) 3) (.f64 (PI.f64) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 16))))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 3)) 16))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (.f64 (PI.f64) 1/4) (neg.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64)))))) (.f64 (PI.f64) -1/4)) (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) 2))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)) (.f64 (PI.f64) (.f64 (PI.f64) -1/16)))
(/.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (.f64 (PI.f64) 1/4) 1/4))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 1) (.f64 (.f64 (PI.f64) 1/4) (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16))
(/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) 3) (.f64 (PI.f64) (.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) 16))))
(/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 3)) 16))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (neg.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))) (.f64 (.f64 (PI.f64) 1/4) (neg.f64 (*.f64 (PI.f64) 1/4))))
(.f64 (/.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64)))))) (.f64 (PI.f64) -1/4)) (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) 2))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)) (.f64 (PI.f64) (.f64 (PI.f64) -1/16)))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64))) (.f64 (.f64 (PI.f64) 1/4) 1/4))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 3)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 1)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 3) 1/3)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 3/2) 2)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 6))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (*.f64 (PI.f64) 1/4)) 6))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))) 6))
(log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64))))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64) 3))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(cbrt.f64 (.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (PI.f64)) 3) 1/64) (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 6)))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(exp.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (*.f64 (PI.f64) 1/4)))))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (*.f64 (PI.f64) 1/4))) 3))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))) 1))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)) 3) 1/64)))
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 1/2 (.f64 f (PI.f64))))) (PI.f64)) 3) 1/64)
(/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/64)

eval619.0ms (2.3%)

Compiler: Compiled 29427 to 22879 computations (22.3% saved)

prune283.0ms (1%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	992	20	1012
Fresh	9	7	16
Picked	3	2	5
Done	0	0	0
Total	1004	29	1033

Accurracy

96.1%

Counts

1033 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.5%	(.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))))))) (/.f64 -4 (PI.f64)))
	94.4%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 2))
	93.7%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3))
	1.7%	(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 1/12 (*.f64 f (PI.f64))))) (PI.f64)))
	95.1%	(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)))
	94.4%	(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
✓	94.9%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	94.9%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
	94.8%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	93.9%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
▶	95.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
✓	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (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)))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	5.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/8 f) (PI.f64))))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (expm1.f64 (log1p.f64 (.f64 (*.f64 (PI.f64) 1/12) f)))))))
▶	93.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
▶	95.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 1/12 (PI.f64)))) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
	75.1%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
▶	93.7%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))
	5.5%	(.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))))))) (/.f64 -4 (PI.f64)))
	94.4%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 2))
	93.7%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3))
	1.7%	(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 1/12 (*.f64 f (PI.f64))))) (PI.f64)))
	95.1%	(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)))
	94.4%	(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
✓	94.9%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	94.9%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
	94.8%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	93.9%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
▶	95.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
✓	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (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)))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	5.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/8 f) (PI.f64))))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (expm1.f64 (log1p.f64 (.f64 (*.f64 (PI.f64) 1/12) f)))))))
▶	93.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
▶	95.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 1/12 (PI.f64)))) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
	75.1%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
▶	93.7%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))

Compiler

Compiled 2194 to 1814 computations (17.3% saved)

localize466.0ms (1.7%)

Local Accuracy

Found 20 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))))
✓	99.3%	(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
✓	98.2%	(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
	95.8%	(PI.f64)
✓	99.7%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	98.3%	(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	95.8%	(PI.f64)
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
✓	97.0%	(log.f64 (/.f64 4 (PI.f64)))
	95.8%	(PI.f64)
✓	99.7%	(*.f64 (PI.f64) f)
✓	99.7%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
	95.8%	(PI.f64)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12)))))
	99.0%	(.f64 f (.f64 (PI.f64) 1/12))
	98.5%	(*.f64 (PI.f64) 1/12)
	95.8%	(PI.f64)

Compiler

Compiled 352 to 236 computations (33% saved)

series4.0ms (0%)

Counts

13 → 136

Calls

36 calls:

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

rewrite115.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`add-sqr-sqrt`
708×	`pow1`
704×	`*-un-lft-identity`
688×	`add-exp-log`
678×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	335
1	844	331

Stop Event

1×	node limit

Counts

13 → 356

Calls

Call 1

Inputs
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12)))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(expm1.f64 (log1p.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 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 1)
(/.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 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.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 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(-.f64 (+.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1)
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (.f64 (.f64 (PI.f64) 1/4) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (.f64 (/.f64 (.f64 (PI.f64) 1/4) 1) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (.f64 (.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (.f64 (/.f64 (.f64 (PI.f64) 1/4) 1) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (.f64 (PI.f64) 1/4) 1)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) f)) (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) 1) (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (.f64 (PI.f64) 1/4) 1)))
(/.f64 (.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
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(pow.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))))
(neg.f64 (log.f64 (/.f64 (*.f64 f 1/2) (/.f64 2 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 2))
(log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(log1p.f64 (-.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) 1)
(.f64 1 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 1 (.f64 f 1/2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 2) (cbrt.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) (sqrt.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))
(pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 2)
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(sqrt.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (PI.f64)) 3) (pow.f64 (*.f64 f 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
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(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
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(/.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 1)
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(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 3) 1/3)
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(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))) 1))
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simplify202.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1170×	`log-prod`
720×	`fma-neg`
556×	`associate-r`
540×	`associate-l`
448×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	622	18746
1	1485	16872
2	6253	16718

Stop Event

1×	node limit

Counts

492 → 364

Calls

Call 1

Inputs
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(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 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 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 4 (PI.f64)) 3)))
(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))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 1))
(+.f64 0 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(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 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 4 f)) -1)
(pow.f64 (/.f64 (*.f64 (PI.f64) f) 4) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(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)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.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 (/.f64 64 (pow.f64 (*.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))))
(fma.f64 1 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(fma.f64 4 (/.f64 1 (*.f64 (PI.f64) f)) 0)
(fma.f64 (/.f64 4 f) (/.f64 1 (PI.f64)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) 0)
(fma.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) 0)
(+.f64 0 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 1 (*.f64 f 1/2))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) (log.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(-.f64 0 (log.f64 (/.f64 (*.f64 f 1/2) (/.f64 2 (PI.f64)))))
(-.f64 (log.f64 2) (log.f64 (.f64 (.f64 f 1/2) (PI.f64))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2)))
(-.f64 (log.f64 (neg.f64 (/.f64 2 (PI.f64)))) (log.f64 (neg.f64 (*.f64 f 1/2))))
(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) f)) (log.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))) 1)
(.f64 1 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))))
(pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 1)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))))
(neg.f64 (log.f64 (/.f64 (*.f64 f 1/2) (/.f64 2 (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 2))
(log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(log1p.f64 (-.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) 1)
(.f64 1 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 1 (.f64 f 1/2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 2) (cbrt.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) (sqrt.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))
(pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 2)
(pow.f64 (/.f64 (*.f64 f 1/2) (/.f64 2 (PI.f64))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(sqrt.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (PI.f64)) 3) (pow.f64 (*.f64 f 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))))) 1)
(/.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 2))
(log.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (*.f64 f 1/2) (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 (.f64 (.f64 f 1/2) (PI.f64))) (/.f64 4 (PI.f64))) 1))

Outputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 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 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (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)))))
(fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (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 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) -1/1152))))
(+.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 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (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 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (pow.f64 f 4) (*.f64 (pow.f64 (PI.f64) 3) -1/1152)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))))
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(fma.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (/.f64 192 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.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)))))
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(+.f64 (fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.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))))
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(+.f64 (+.f64 (/.f64 192 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))) (/.f64 147456 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (fma.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -4608 (*.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 4 (+.f64 (log.f64 (.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (.f64 4 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (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))))
(fma.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (/.f64 192 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
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eval576.0ms (2.1%)

Compiler: Compiled 27921 to 20218 computations (27.6% saved)

prune200.0ms (0.7%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1479	11	1490
Fresh	9	13	22
Picked	1	4	5
Done	0	2	2
Total	1489	30	1519

Accurracy

96.1%

Counts

1519 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.5%	(.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))))))) (/.f64 -4 (PI.f64)))
	94.4%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 2))
	1.7%	(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 1/12 (*.f64 f (PI.f64))))) (PI.f64)))
	94.4%	(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	1.7%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
✓	94.9%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	94.8%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	95.0%	(neg.f64 (-.f64 (+.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1))
✓	95.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	94.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
✓	94.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (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)))))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
	5.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/8 f) (PI.f64))))))
✓	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (expm1.f64 (log1p.f64 (.f64 (*.f64 (PI.f64) 1/12) f)))))))
✓	95.1%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 1/12 (PI.f64)))) (PI.f64))))
	95.0%	(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 1 (PI.f64)))) (PI.f64))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
	95.0%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 4) (log.f64 (/.f64 1 (.f64 (PI.f64) f)))) (PI.f64))))
	95.1%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
	93.6%	(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
	95.0%	(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
	93.8%	(neg.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
	75.1%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
✓	93.7%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	93.7%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))

Compiler

Compiled 1755 to 1363 computations (22.3% saved)

regimes109.0ms (0.4%)

Counts

60 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 1/12 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (-.f64 (+.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 4) (log.f64 (/.f64 1 (.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 1 (PI.f64)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 1/12 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/8 f) (PI.f64))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
(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 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(neg.f64 (/.f64 4 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3))
(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 2))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (expm1.f64 (log1p.f64 (.f64 (*.f64 (PI.f64) 1/12) 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)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (expm1.f64 (log1p.f64 (.f64 (*.f64 (PI.f64) 1/12) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
(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)))))
(.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))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 (/.f64 (.f64 1/16 (PI.f64)) 1/2) 1)) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (PI.f64)) 3)) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 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)))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))

Calls

6 calls:

28.0ms	f
26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
7.0ms	(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)))))))

Results

Accuracy	Segments	Branch
95.3%	1	`f`
95.3%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
95.3%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
95.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
95.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
95.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1333 to 1008 computations (24.4% saved)

regimes20.0ms (0.1%)

Accuracy

Total -59.8b remaining (-1909.5%)

Threshold costs -59.8b (-1909.5%)

Counts

26 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (.f64 1/12 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (-.f64 (+.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))))))
(neg.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 4) (log.f64 (/.f64 1 (.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 f)) (log.f64 (/.f64 1 (PI.f64)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 f))) (log.f64 (.f64 1/12 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/8 f) (PI.f64))))))

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
95.1%	1	`f`

Compiler

Compiled 352 to 257 computations (27% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

46×	`neg-mul-1`
30×	`unsub-neg`
24×	`*-commutative`
22×	`distribute-lft-neg-in`
22×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	100
1	46	100
2	68	100
3	82	96
4	92	96
5	124	96
6	168	96

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (*.f64 f (*.f64 (PI.f64) 1/12))))))

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

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (.f64 f (*.f64 (PI.f64) 1/12))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (.f64 f (*.f64 (PI.f64) 1/12))))))
(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (neg.f64 4))

Compiler

Compiled 31 to 25 computations (19.4% saved)

soundness676.0ms (2.5%)

Rules

1700×	`fma-def`
1620×	`times-frac`
1242×	`associate-/r*`
1200×	`associate-r`
1170×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	9380
1	548	8540
2	2068	7932
0	416	9876
1	904	8990
2	4980	8990
0	814	25280
1	2055	21034
0	622	18746
1	1485	16872
2	6253	16718

Stop Event

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

Compiler

Compiled 376 to 293 computations (22.1% saved)

end43.0ms (0.2%)

Compiler: Compiled 136 to 106 computations (22.1% saved)

analyze419.0ms (1.5%)

sample18.0s (66.3%)

preprocess55.0ms (0.2%)

simplify60.0ms (0.2%)

eval4.0ms (0%)

prune4.0ms (0%)

localize1.9s (6.9%)

series207.0ms (0.8%)

rewrite55.0ms (0.2%)

simplify113.0ms (0.4%)

eval94.0ms (0.3%)

prune64.0ms (0.2%)

localize1.0s (3.8%)

series182.0ms (0.7%)

rewrite139.0ms (0.5%)

simplify132.0ms (0.5%)

eval149.0ms (0.5%)

prune85.0ms (0.3%)

localize696.0ms (2.6%)

series74.0ms (0.3%)

rewrite165.0ms (0.6%)

simplify209.0ms (0.8%)

eval619.0ms (2.3%)

prune283.0ms (1%)

localize466.0ms (1.7%)

series4.0ms (0%)

rewrite115.0ms (0.4%)

simplify202.0ms (0.7%)

eval576.0ms (2.1%)

prune200.0ms (0.7%)

regimes109.0ms (0.4%)

regimes20.0ms (0.1%)

simplify9.0ms (0%)

soundness676.0ms (2.5%)

end43.0ms (0.2%)

Profiling