Metrics for VandenBroeck and Keller, Equation (20)

analyze333.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	25%	12.5%	4
0%	0%	56.2%	0%	0%	25%	18.7%	5
6.3%	3.1%	46.9%	0%	0%	28.1%	21.9%	6
6.5%	3.1%	45.3%	0%	0%	28.1%	23.4%	7
6.6%	3.1%	44.5%	0%	0%	28.1%	24.2%	8
8.3%	3.9%	43.3%	0%	0%	28.5%	24.2%	9
8.7%	4.1%	43.1%	0%	0%	28.5%	24.2%	10
9.1%	4.3%	42.9%	0%	0%	28.6%	24.2%	11
9.1%	4.3%	42.8%	0%	0%	28.6%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample10.5s (41.9%)

Results

3.5s	4011×	body	1024	valid
3.1s	3829×	body	1024	invalid
1.3s	2008×	body	512	invalid
1.1s	2079×	body	512	valid
759.0ms	1819×	body	256	valid
459.0ms	347×	body	2048	valid
200.0ms	933×	body	256	invalid
1.0ms	3×	body	256	unsamplable

Bogosity

preprocess703.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1554×	`fma-def`
850×	`associate-/l*`
696×	`associate-*r/`
536×	`cancel-sign-sub-inv`
520×	`distribute-lft-in`

Problems

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	528
2	262	484
3	772	484
4	2705	484

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 236 to 175 computations (25.8% saved)

eval6.0ms (0%)

Compiler: Compiled 169 to 118 computations (30.2% saved)

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.0%	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
▶	9.0%	(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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	9.0%	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
▶	9.0%	(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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 148 to 114 computations (23% saved)

localize1.3s (5.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))
✓	99.3%	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
✓	98.1%	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))
✓	12.5%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))
✓	99.5%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	98.1%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	12.5%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 352 to 246 computations (30.1% saved)

series160.0ms (0.6%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
46.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
38.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
29.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
24.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
4.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

rewrite166.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

356×	`associate-r`
224×	`associate-l`
185×	`add-exp-log`
184×	`log1p-expm1-u`
184×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	224
1	548	224
2	7543	224

Stop Event

1×

unsound

Counts

8 → 128

Calls

Call 1

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

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

simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1862×	`fma-def`
1378×	`times-frac`
936×	`distribute-lft-in`
930×	`distribute-rgt-in`
826×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	8774
1	533	8166
2	2052	7654

Stop Event

1×	node limit

Counts

224 → 92

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(.f64 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 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (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 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (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 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
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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)))))))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

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

eval88.0ms (0.4%)

Compiler: Compiled 4819 to 3631 computations (24.7% saved)

prune63.0ms (0.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	84	14	98
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	86	14	100

Accuracy

98.2%

Counts

100 → 14

Alt Table

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Status	Accuracy	Program
▶	95.7%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
	9.0%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))) -4) (PI.f64))
	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
▶	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (/.f64 1/16 (*.f64 1 (/.f64 1/2 (PI.f64))))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	95.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
▶	97.0%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
	96.5%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3))))
▶	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
▶	95.7%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
	9.0%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))) -4) (PI.f64))
	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
▶	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (/.f64 1/16 (*.f64 1 (/.f64 1/2 (PI.f64))))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	95.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
▶	97.0%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
	96.5%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3))))
▶	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))

Compiler

Compiled 1592 to 1260 computations (20.9% saved)

localize1.2s (4.7%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	98.4%	(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (/.f64 1/16 (.f64 1 (/.f64 1/2 (PI.f64)))))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
✓	98.4%	(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
✓	100.0%	(.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)))) 3)))
✓	100.0%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 3)
	99.5%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	97.0%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 3))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	100.0%	(log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.6%	(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.5%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	98.5%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))
✓	98.4%	(pow.f64 (PI.f64) 5)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Compiler

Compiled 755 to 566 computations (25% saved)

series189.0ms (0.8%)

Counts

18 → 120

Calls

30 calls:

Time	Variable		Point	Expression
61.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 3))
24.0ms	f	@	0	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
16.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 3))
15.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
13.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))

rewrite152.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

389×	`log1p-expm1-u`
389×	`expm1-log1p-u`
386×	`add-exp-log`
380×	`add-log-exp`
380×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	527
1	926	527

Stop Event

1×	node limit

Counts

18 → 334

Calls

Call 1

Inputs
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 f (.f64 (PI.f64) 1/2))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 3))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 3)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 3)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (/.f64 1/16 (.f64 1 (/.f64 1/2 (PI.f64)))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (PI.f64) -2) 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))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(/.f64 1 (pow.f64 (/.f64 1 (PI.f64)) 3))
(/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (PI.f64) 6))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (neg.f64 (pow.f64 (PI.f64) 2)) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 5) (pow.f64 (pow.f64 (PI.f64) -2) 5))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (/.f64 1 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))))
(+.f64 0 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))) 2)) (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) (log.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))
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(log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4)))
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(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
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(.f64 2 (/.f64 1 (.f64 f (*.f64 (PI.f64) 1/2))))
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(pow.f64 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) -4)) -1)
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(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)) 3))
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(pow.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 2)
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))

simplify165.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

970×	`times-frac`
712×	`associate-/r*`
704×	`fma-def`
614×	`distribute-lft-in`
604×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	912	18514
1	2287	16748

Stop Event

1×	node limit

Counts

454 → 474

Calls

Call 1

Inputs
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2/3
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(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) 2)
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(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3)
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(pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3))) 2)
(neg.f64 (log.f64 (/.f64 3 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))))))
(cbrt.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3))))
(exp.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3))) 1))
(log1p.f64 (-.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3))) 1)
(.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)
(.f64 1 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) 2) (cbrt.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)))
(.f64 (sqrt.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (sqrt.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)))
(pow.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)) 2)
(pow.f64 (/.f64 3 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)))) (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3))))
(cbrt.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)))
(exp.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))) 2)
(log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3) (.f64 (/.f64 1 (PI.f64)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 1 (PI.f64)) 4) 3) (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) 3) (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (*.f64 (PI.f64) 1/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))
(pow.f64 (*.f64 (PI.f64) 1/48) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/48)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/48))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/48)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/48)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) -2))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (PI.f64) 1)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (/.f64 1 (PI.f64)) -1)
(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))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (PI.f64) -2) 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))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(/.f64 1 (pow.f64 (/.f64 1 (PI.f64)) 3))
(/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (PI.f64) 6))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (neg.f64 (pow.f64 (PI.f64) 2)) 3))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 (.f64 (PI.f64) 1/48) -2) (/.f64 1/16 (/.f64 1/2 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1)
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 2)
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))

Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 1/2 (.f64 f (*.f64 (PI.f64) 0))))
(+.f64 (.f64 1/2 (.f64 f 0)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 0)) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))))))))
(+.f64 (.f64 1/2 (fma.f64 f 0 (.f64 (pow.f64 f 2) (fma.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12)) 0)))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3/2 (.f64 (PI.f64) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))))))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -3/4 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) 0) (.f64 (PI.f64) 1/12))) (fma.f64 1/4 (pow.f64 (.f64 (PI.f64) 0) 3) (.f64 3/2 (.f64 (PI.f64) (-.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 0) (PI.f64))) (.f64 1/48 (.f64 (PI.f64) (.f64 (PI.f64) 0))))))))) (.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 0)) (.f64 (pow.f64 f 2) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (*.f64 (PI.f64) 1/12)))))))))
(+.f64 (fma.f64 1/2 (fma.f64 f 0 (.f64 (pow.f64 f 2) (fma.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12)) 0))) (.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -3/4 (.f64 0 (.f64 (PI.f64) 1/12)) (fma.f64 3/2 (+.f64 (.f64 (PI.f64) (/.f64 0 (PI.f64))) 0) 0))))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f))))
(+.f64 (log.f64 (/.f64 (.f64 61440 (+.f64 (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 5))) (*.f64 5 (neg.f64 (log.f64 f))))
(fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) 61440) (pow.f64 (PI.f64) 5))))
(-.f64 (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f)))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) 3)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))) 3) 1/3)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) 2)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))) 3))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))) 1))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))) 1))
(log1p.f64 (+.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) -1))
(log1p.f64 (+.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2)
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 1 (PI.f64)) 4) 3) (pow.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3) (pow.f64 (.f64 (/.f64 1 (PI.f64)) 4) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (.f64 (PI.f64) 1/4))) 1))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2)))) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 3)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3) 1/3)
(.f64 f (.f64 (PI.f64) 1/2))
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)
(.f64 f (.f64 (PI.f64) 1/2))
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(.f64 f (.f64 (PI.f64) 1/2))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(.f64 f (.f64 (PI.f64) 1/2))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(.f64 1 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 4 (*.f64 (PI.f64) f))
(.f64 2 (/.f64 1 (.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 4 (*.f64 (PI.f64) f))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 4 (*.f64 (PI.f64) f))
(.f64 (sqrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (sqrt.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) 2) -1)
(/.f64 1 (/.f64 f (/.f64 2 (*.f64 (PI.f64) 1/2))))
(/.f64 1 (/.f64 f (/.f64 4 (PI.f64))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (exp.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
(/.f64 4 (*.f64 (PI.f64) f))
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(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))) 3)
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)) 3) 1/3)
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))) 2)
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3) (.f64 (/.f64 1 (PI.f64)) 4)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))))
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)) 3))
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 1 (PI.f64)) 4) 3) (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/3)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) 3) (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 4) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) 3)))
(cbrt.f64 (.f64 (/.f64 64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (*.f64 (PI.f64) 1/4))) 1))
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 2 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (*.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (*.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) 1/3))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/48))) 1)
(*.f64 (PI.f64) 1/48)
(/.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)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/48)) 3)
(*.f64 (PI.f64) 1/48)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3) 1/3)
(*.f64 (PI.f64) 1/48)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/48)) 2)
(*.f64 (PI.f64) 1/48)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/48))
(*.f64 (PI.f64) 1/48)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/48))))
(*.f64 (PI.f64) 1/48)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/48) 3))
(*.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)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/48)) 1))
(*.f64 (PI.f64) 1/48)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))
(*.f64 (PI.f64) 1/48)
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) -2))
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4))) (fabs.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (/.f64 1 (PI.f64)) -1)
(PI.f64)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (PI.f64) -2) 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)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(/.f64 1 (pow.f64 (/.f64 1 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (PI.f64) 6))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (neg.f64 (pow.f64 (PI.f64) 2)) 3))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (PI.f64) 3)) 3) (neg.f64 (pow.f64 (PI.f64) 6)))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(+.f64 (.f64 (.f64 (PI.f64) 1/48) -2) (/.f64 1/16 (/.f64 1/2 (PI.f64))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1)
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))) 1)
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 3)
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))) 3) 1/3)
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 2)
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))) 3))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))) 1))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) 1/12)

eval338.0ms (1.4%)

Compiler: Compiled 16857 to 12965 computations (23.1% saved)

prune310.0ms (1.2%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	494	25	519
Fresh	3	6	9
Picked	5	0	5
Done	0	0	0
Total	502	31	533

Accuracy

98.5%

Counts

533 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
	93.9%	(/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3) 1/3) -4) (PI.f64))
	95.1%	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
	95.7%	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
	95.6%	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) -4) (PI.f64))
	9.0%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))) -4) (PI.f64))
▶	94.4%	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
	94.5%	(/.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
	95.5%	(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	94.2%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))))
▶	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
	95.5%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	9.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.1%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))
	95.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
▶	94.3%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 1))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	96.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
	95.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (/.f64 f (/.f64 4 (PI.f64)))))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
	71.1%	(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
	94.3%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
	95.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)) 3))
	95.2%	(cbrt.f64 (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)) -64))
	94.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
	93.9%	(/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3) 1/3) -4) (PI.f64))
	95.1%	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
	95.7%	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
	95.6%	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) -4) (PI.f64))
	9.0%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))) -4) (PI.f64))
▶	94.4%	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
	94.5%	(/.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
	95.5%	(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	94.2%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))))
▶	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
	95.5%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	9.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.1%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))
	95.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
▶	94.3%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 1))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	96.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
▶	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
	95.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (/.f64 f (/.f64 4 (PI.f64)))))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
	71.1%	(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
	94.3%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
	95.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)) 3))
	95.2%	(cbrt.f64 (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)) -64))

Compiler

Compiled 2556 to 2116 computations (17.2% saved)

localize772.0ms (3.1%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.5%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.5%	(/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
✓	98.5%	(PI.f64)
✓	98.3%	(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
✓	99.5%	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
✓	99.4%	(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
✓	98.5%	(PI.f64)
✓	98.4%	(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
✓	99.6%	(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
✓	99.3%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
✓	98.5%	(PI.f64)
✓	96.9%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	98.5%	(PI.f64)
✓	98.5%	(log.f64 2/3)
✓	98.5%	(PI.f64)
	98.5%	(pow.f64 (PI.f64) 5)
	98.5%	(pow.f64 (PI.f64) 3)
	98.5%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Compiler

Compiled 503 to 379 computations (24.7% saved)

series58.0ms (0.2%)

Counts

14 → 84

Calls

21 calls:

Time	Variable		Point	Expression
20.0ms	f	@	-inf	(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
18.0ms	f	@	0	(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
15.0ms	f	@	inf	(exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
0.0ms	f	@	-inf	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
0.0ms	f	@	0	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))

rewrite235.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`expm1-udef`
418×	`associate-r`
288×	`associate-l`
235×	`log1p-expm1-u`
234×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	295
1	539	245
2	7820	245

Stop Event

1×	node limit

Counts

14 → 535

Calls

Call 1

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

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

simplify208.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-/r*`
942×	`associate-l`
928×	`associate-r`
504×	`associate-*r/`
496×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	23071
1	1804	22131

Stop Event

1×	node limit

Counts

619 → 457

Calls

Call 1

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

eval679.0ms (2.7%)

Compiler: Compiled 17860 to 13578 computations (24% saved)

prune209.0ms (0.8%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	741	19	760
Fresh	14	12	26
Picked	3	2	5
Done	0	0	0
Total	758	33	791

Accuracy

98.5%

Counts

791 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
	1.6%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4)
	95.7%	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
	95.5%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 1/2 f))) -4) (PI.f64))
▶	95.6%	(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
	95.6%	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
	9.0%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))) -4) (PI.f64))
	94.4%	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4) (PI.f64))
	95.5%	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	1.6%	(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
	94.1%	(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3) (neg.f64 (/.f64 4 (PI.f64))))
	95.0%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (neg.f64 (/.f64 4 (PI.f64))))
	95.3%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
	95.5%	(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
▶	95.5%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	94.4%	(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
	94.5%	(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
	95.1%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.1%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
	94.0%	(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
	94.3%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
▶	96.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
	71.1%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	95.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)) 3))
	95.2%	(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) 3) (pow.f64 (PI.f64) 3)))
▶	94.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
	1.6%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4)
	95.7%	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
	95.5%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 1/2 f))) -4) (PI.f64))
▶	95.6%	(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
	95.6%	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
	9.0%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))) -4) (PI.f64))
	94.4%	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4) (PI.f64))
	95.5%	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	1.6%	(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
	94.1%	(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3) (neg.f64 (/.f64 4 (PI.f64))))
	95.0%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (neg.f64 (/.f64 4 (PI.f64))))
	95.3%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
	95.5%	(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
▶	95.5%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	94.4%	(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
	94.5%	(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
	95.1%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
	95.1%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
	94.0%	(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
	94.3%	(neg.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
▶	96.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
	71.1%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	95.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)) 3))
	95.2%	(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) 3) (pow.f64 (PI.f64) 3)))

Compiler

Compiled 2402 to 1962 computations (18.3% saved)

localize765.0ms (3.1%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	99.4%	(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
✓	99.3%	(cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
	98.5%	(PI.f64)
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
	98.5%	(PI.f64)
✓	98.4%	(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
✓	99.7%	(-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
✓	99.5%	(.f64 (PI.f64) (.f64 1/2 f))
✓	99.5%	(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
	98.5%	(PI.f64)
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.5%	(*.f64 (PI.f64) f)
✓	99.3%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	98.5%	(PI.f64)
	98.5%	(PI.f64)
	98.5%	(pow.f64 (PI.f64) 5)
	98.5%	(pow.f64 (PI.f64) 3)
	98.5%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Compiler

Compiled 535 to 394 computations (26.4% saved)

series73.0ms (0.3%)

Counts

11 → 132

Calls

33 calls:

Time	Variable		Point	Expression
28.0ms	f	@	0	(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
14.0ms	f	@	-inf	(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
10.0ms	f	@	inf	(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
8.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
5.0ms	f	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)

rewrite143.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`associate-r`
312×	`associate-l`
274×	`frac-times`
266×	`times-frac`
241×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	312
1	649	294

Stop Event

1×	node limit

Counts

11 → 587

Calls

Call 1

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

Outputs
(-.f64 0 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))) 1)
(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) (.f64 (PI.f64) -1/4)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) -1/4)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4)))
(/.f64 1 (/.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4)) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (/.f64 (*.f64 (PI.f64) -1/4) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2) (/.f64 (PI.f64) (cbrt.f64 (.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 (*.f64 (PI.f64) -1/4) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 (PI.f64) (sqrt.f64 (.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (.f64 f (.f64 (PI.f64) -1/4))) (*.f64 (PI.f64) -1/4))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 3)) (.f64 (.f64 (PI.f64) -1/4) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) (log.f64 (.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(/.f64 -1 (neg.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)) (.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -1/4)
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (.f64 (PI.f64) -1/4))) (sqrt.f64 (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1) (*.f64 (PI.f64) -1/4))
(/.f64 (/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) -1/4)))
(/.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2)) (cbrt.f64 (*.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) 2)) (cbrt.f64 (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4)) -1)
(neg.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1))
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(/.f64 (cbrt.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (log.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (cbrt.f64 (*.f64 (PI.f64) -1/4)))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) -1/4))))
(pow.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))) 3)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))

simplify254.0ms (1%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-r`
868×	`associate-l`
692×	`associate-/l*`
570×	`*-commutative`
540×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	748	29171
1	1923	27385

Stop Event

1×	node limit

Counts

719 → 442

Calls

Call 1

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

eval1.3s (5.3%)

Compiler: Compiled 47102 to 35814 computations (24% saved)

prune231.0ms (0.9%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1854	3	1857
Fresh	10	16	26
Picked	2	3	5
Done	0	2	2
Total	1866	24	1890

Accuracy

98.5%

Counts

1890 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.6%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4)
	94.7%	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) -4) (PI.f64))
	95.7%	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
	95.5%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 1/2 f))) -4) (PI.f64))
✓	95.6%	(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
	95.6%	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
	9.0%	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))) -4) (PI.f64))
	94.4%	(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4) (PI.f64))
	95.5%	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	1.6%	(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
	95.5%	(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) -1/4)))
	95.5%	(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) -1/4)))
	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
	95.5%	(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 4 (PI.f64))))
	9.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
✓	95.5%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	9.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
✓	96.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
	96.5%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
✓	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
✓	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
	71.1%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))

Compiler

Compiled 1682 to 1293 computations (23.1% saved)

regimes116.0ms (0.5%)

Counts

63 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4)
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) -4) (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (/.f64 f (/.f64 4 (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 1/2 f))) -4) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) -1/4)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) -1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4) (PI.f64))
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) -4) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)) 3))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3) 1/3) -4) (PI.f64))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 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)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)) -64))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) 3) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (/.f64 1/16 (*.f64 1 (/.f64 1/2 (PI.f64))))) (/.f64 (/.f64 (/.f64 2 (PI.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 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))))) -4) (PI.f64))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))

Outputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 f (*.f64 (PI.f64) 1/2))))))))

Calls

6 calls:

28.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
26.0ms	f
12.0ms	(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))))))
8.0ms	(.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)))))))
8.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
97.0%	1	`f`
97.0%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
97.0%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
97.0%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
97.0%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
97.0%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1340 to 1015 computations (24.3% saved)

regimes128.0ms (0.5%)

Counts

58 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4)
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) -4) (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (/.f64 f (/.f64 4 (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 1/2 f))) -4) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) -1/4)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) -1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4) (PI.f64))
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) -4) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)) 3))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3) 1/3) -4) (PI.f64))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 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)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)) -64))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) 3) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (/.f64 1/16 (*.f64 1 (/.f64 1/2 (PI.f64))))) (/.f64 (/.f64 (/.f64 2 (PI.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 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (neg.f64 (/.f64 4 (PI.f64))))

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)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 f (*.f64 (PI.f64) 1/2)))))))

Calls

6 calls:

28.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
25.0ms	f
9.0ms	(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))))))
8.0ms	(.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)))))))
8.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
96.5%	1	`f`
96.5%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
96.5%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
96.5%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
96.5%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
96.5%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1144 to 871 computations (23.9% saved)

regimes433.0ms (1.7%)

Counts

56 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4)
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) -4) (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (/.f64 f (/.f64 4 (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 1/2 f))) -4) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) -1/4)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) -1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) -4) (PI.f64))
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) -4) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))) -4) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4)) 3))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) 2) -4) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 3)
(neg.f64 (-.f64 (pow.f64 (E.f64) (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) 1))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) 3) 1/3) -4) (PI.f64))
(neg.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 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)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)) -64))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) 3) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 (PI.f64) -4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/48) -2 (/.f64 1/16 (/.f64 1/2 (PI.f64)))))) 1) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (/.f64 1/16 (*.f64 1 (/.f64 1/2 (PI.f64))))) (/.f64 (/.f64 (/.f64 2 (PI.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))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))

Calls

6 calls:

142.0ms	f
51.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
24.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
21.0ms	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
8.0ms	(.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
96.5%	1	`f`
96.5%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
96.5%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
96.5%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
96.5%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
96.5%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1073 to 820 computations (23.6% saved)

regimes25.0ms (0.1%)

Counts

27 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4)
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) -4) (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (/.f64 f (/.f64 4 (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 1/2 f))) -4) (PI.f64))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (neg.f64 (/.f64 4 (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (/.f64 1 (PI.f64)) 4))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) -1/4)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2)))))
(neg.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) 1/3)) (.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) -1/4)))

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
95.7%	1	`f`

Compiler

Compiled 389 to 292 computations (24.9% saved)

regimes11.0ms (0%)

Counts

12 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/4)
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) -4) (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (/.f64 f (/.f64 4 (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
95.6%	1	`f`

Compiler

Compiled 175 to 133 computations (24% saved)

regimes6.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.5%	1	`f`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
95.5%	1	`f`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))

Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 10 to 9 computations (10% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

100×	`neg-mul-1`
70×	`unsub-neg`
64×	`*-commutative`
52×	`distribute-lft-neg-in`
52×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	518
1	130	518
2	180	518
3	209	506
4	226	506
5	295	506
6	395	506

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))))
(.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))) (/.f64 -1 (/.f64 (PI.f64) 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 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 2/3) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 2/3) (PI.f64)))
(*.f64 (/.f64 (log.f64 2/3) (PI.f64)) (neg.f64 4))

Compiler

Compiled 150 to 122 computations (18.7% saved)

soundness3.4s (13.5%)

Rules

1862×	`fma-def`
1862×	`fma-def`
1862×	`fma-def`
1862×	`fma-def`
1862×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	8774
1	533	8166
2	2052	7654
0	58	527
1	926	527
0	912	18514
1	2287	16748
0	31	224
1	548	224
2	7543	224
0	33	584
1	98	528
2	262	484
3	772	484
4	2705	484
0	173	8774
1	533	8166
2	2052	7654
0	912	18514
1	2287	16748
0	173	8774
1	533	8166
2	2052	7654
0	36	295
1	539	245
2	7820	245
0	36	295
1	539	245
2	7820	245
0	58	527
1	926	527
0	912	18514
1	2287	16748
0	173	8774
1	533	8166
2	2052	7654
0	58	527
1	926	527
0	912	18514
1	2287	16748
0	173	8774
1	533	8166
2	2052	7654

Stop Event

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

Compiler

Compiled 2690 to 2071 computations (23% saved)

end0.0ms (0%)

preprocess153.0ms (0.6%)

Compiler: Compiled 362 to 276 computations (23.8% saved)

analyze333.0ms (1.3%)

sample10.5s (41.9%)

preprocess703.0ms (2.8%)

eval6.0ms (0%)

prune4.0ms (0%)

localize1.3s (5.3%)

series160.0ms (0.6%)

rewrite166.0ms (0.7%)

simplify110.0ms (0.4%)

eval88.0ms (0.4%)

prune63.0ms (0.3%)

localize1.2s (4.7%)

series189.0ms (0.8%)

rewrite152.0ms (0.6%)

simplify165.0ms (0.7%)

eval338.0ms (1.4%)

prune310.0ms (1.2%)

localize772.0ms (3.1%)

series58.0ms (0.2%)

rewrite235.0ms (0.9%)

simplify208.0ms (0.8%)

eval679.0ms (2.7%)

prune209.0ms (0.8%)

localize765.0ms (3.1%)

series73.0ms (0.3%)

rewrite143.0ms (0.6%)

simplify254.0ms (1%)

eval1.3s (5.3%)

prune231.0ms (0.9%)

regimes116.0ms (0.5%)

regimes128.0ms (0.5%)

regimes433.0ms (1.7%)

regimes25.0ms (0.1%)

regimes11.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify17.0ms (0.1%)

soundness3.4s (13.5%)

end0.0ms (0%)

preprocess153.0ms (0.6%)

Profiling