Metrics for VandenBroeck and Keller, Equation (20)

analyze419.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample16.8s (62.7%)

Results

7.6s	7793×	body	8192	exit
2.5s	4041×	body	1024	valid
2.5s	3953×	body	1024	invalid
1.4s	7735×	body	256	unsamplable
772.0ms	2034×	body	512	valid
721.0ms	1992×	body	512	invalid
628.0ms	524×	body	2048	valid
402.0ms	1657×	body	256	valid
191.0ms	983×	body	256	invalid
1.0ms	1×	body	2048	invalid

Bogosity

preprocess57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	270
1	91	242
2	240	218
3	720	218
4	2345	218

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

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

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

eval4.0ms (0%)

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

6.2%

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶	6.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	6.1%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶	6.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize1.7s (6.5%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64))))))
✓	99.4%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓	97.7%	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))))
✓	10.3%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	97.7%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	10.3%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 343 to 237 computations (30.9% saved)

series439.0ms (1.6%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
283.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
45.0ms	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)))))))
36.0ms	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)))))))
23.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
22.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	200
1	702	200

Stop Event

1×	node limit

Counts

8 → 288

Calls

Call 1

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

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

simplify109.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	8240
1	548	7552
2	2065	7052

Stop Event

1×	node limit

Counts

384 → 126

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(.f64 (PI.f64) (.f64 1/2 f))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))
(fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)) 1/41287680))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2))))
(fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2))))
(fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
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5
6
8
9
16
27
64
256
4096
262144

eval115.0ms (0.4%)

Compiler: Compiled 5895 to 4425 computations (24.9% saved)

prune73.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	128	9	137

Accurracy

97.5%

Counts

137 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) 0) (PI.f64)) (.f64 f f) 0)))
▶	97.0%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
	96.9%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	6.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	96.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	97.1%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) 0) (PI.f64)) (.f64 f f) 0)))
▶	97.0%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
	96.9%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	6.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	96.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	97.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))

Compiler

Compiled 912 to 736 computations (19.3% saved)

localize1.7s (6.5%)

Local Accuracy

Found 19 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 f (PI.f64))
✓	99.4%	(.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))))))) (/.f64 -4 (PI.f64)))
✓	97.7%	(/.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))))))
✓	10.3%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
✓	100.0%	(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	98.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
✓	98.1%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
✓	99.7%	(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
✓	96.9%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	100.0%	(log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))
✓	99.6%	(.f64 (.f64 (PI.f64) 1/2) f)
✓	99.6%	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
✓	98.4%	(fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48)))
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 663 to 464 computations (30% saved)

series201.0ms (0.8%)

Counts

18 → 132

Calls

39 calls:

Time	Variable		Point	Expression
66.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
31.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
18.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))
16.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
16.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))

rewrite132.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`pow1`
1136×	`add-exp-log`
1124×	`add-log-exp`
1118×	`log1p-expm1-u`
1118×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	606
1	1343	606

Stop Event

1×	node limit

Counts

18 → 170

Calls

Call 1

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

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

simplify163.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-r`
874×	`associate-l`
616×	`log-prod`
604×	`exp-prod`
596×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	14196
1	1393	11066
2	6519	11042

Stop Event

1×	node limit

Counts

302 → 317

Calls

Call 1

Inputs
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(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
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(*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)))
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1
(+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))))
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(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
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(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
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(pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64))) 1)
(log.f64 (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) f) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

Outputs
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
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(.f64 f (.f64 (PI.f64) 1/2))
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(/.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))) (log.f64 f))
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(log.f64 1/131072)
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(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) -4) (PI.f64))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64))) 1)
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(log.f64 (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))) (.f64 (/.f64 -4 (PI.f64)) (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))))))
(cbrt.f64 (pow.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))) 3))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(log1p.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (*.f64 -1/4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 f (PI.f64))
(log.f64 (exp.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)) (*.f64 (PI.f64) f)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (.f64 f (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 f (PI.f64))

eval273.0ms (1%)

Compiler: Compiled 12581 to 8992 computations (28.5% saved)

prune121.0ms (0.5%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	327	23	350
Fresh	1	3	4
Picked	4	1	5
Done	0	0	0
Total	332	27	359

Accurracy

97.7%

Counts

359 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/8) (/.f64 -2 (/.f64 48 (PI.f64)))) 0) (PI.f64)) (*.f64 f f) 0)))
	97.0%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	97.0%	(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
	97.0%	(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	96.9%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
	96.6%	(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64)))) -4)
	97.0%	(.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	96.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (/.f64 -4 (PI.f64)))
✓	6.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	96.8%	(.f64 (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
	95.8%	(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	95.7%	(.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	96.4%	(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3)) -4)
▶	96.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	5.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	3.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
▶	95.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
	0.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
▶	97.1%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/8) (/.f64 -2 (/.f64 48 (PI.f64)))) 0) (PI.f64)) (*.f64 f f) 0)))
	97.0%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	97.0%	(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
	97.0%	(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	96.9%	(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
	96.6%	(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64)))) -4)
	97.0%	(.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	96.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (/.f64 -4 (PI.f64)))
✓	6.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	96.8%	(.f64 (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
	95.8%	(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	95.7%	(.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	96.4%	(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3)) -4)
▶	96.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	5.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	3.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))))
▶	1.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
▶	95.7%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
	0.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2058 to 1712 computations (16.8% saved)

localize597.0ms (2.2%)

Local Accuracy

Found 18 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(*.f64 f (PI.f64))
	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	98.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
✓	97.7%	(PI.f64)
✓	99.6%	(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
✓	99.5%	(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
✓	98.3%	(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
✓	97.7%	(PI.f64)
✓	99.6%	(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
✓	99.5%	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
✓	97.7%	(PI.f64)
✓	96.9%	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
✓	98.5%	(/.f64 (log.f64 1/131072) (PI.f64))
✓	97.7%	(PI.f64)
✓	98.5%	(/.f64 -2 (/.f64 48 (PI.f64)))
✓	98.5%	(fma.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/8) (/.f64 -2 (/.f64 48 (PI.f64)))) 0)
✓	97.7%	(PI.f64)
	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 501 to 357 computations (28.7% saved)

series7.0ms (0%)

Counts

15 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
1.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
1.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
1.0ms	f	@	-inf	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
1.0ms	f	@	inf	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`add-sqr-sqrt`
1034×	`pow1`
1014×	`add-exp-log`
998×	`add-cbrt-cube`
998×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	335
1	1150	335

Stop Event

1×	node limit

Counts

15 → 146

Calls

Call 1

Inputs
(PI.f64)
(fma.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/8) (/.f64 -2 (/.f64 48 (PI.f64)))) 0)
(/.f64 -2 (/.f64 48 (PI.f64)))
(PI.f64)
(/.f64 (log.f64 1/131072) (PI.f64))
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(PI.f64)
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))
(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(PI.f64)
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(PI.f64)
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))

Outputs
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (*.f64 -1/24 (PI.f64)))) 0)
(.f64 1 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (*.f64 -1/24 (PI.f64))) 0))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0))) (cbrt.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)) (sqrt.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (*.f64 -1/24 (PI.f64))) 0)))
(pow.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0) 1)
(log.f64 (exp.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)))
(exp.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/8 (.f64 -1/24 (PI.f64))) 0)))
(*.f64 -2 (/.f64 1 (/.f64 48 (PI.f64))))
(.f64 1 (.f64 -1/24 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (.f64 -1/24 (PI.f64))) (cbrt.f64 (.f64 -1/24 (PI.f64)))) (cbrt.f64 (*.f64 -1/24 (PI.f64))))
(.f64 (sqrt.f64 (.f64 -1/24 (PI.f64))) (sqrt.f64 (*.f64 -1/24 (PI.f64))))
(*.f64 -1/24 (PI.f64))
(pow.f64 (*.f64 -1/24 (PI.f64)) 1)
(log.f64 (exp.f64 (*.f64 -1/24 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (.f64 -1/24 (PI.f64)) (.f64 -1/24 (PI.f64))) (*.f64 -1/24 (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (PI.f64))))
(exp.f64 (log.f64 (*.f64 -1/24 (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (PI.f64))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (log.f64 1/131072) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 1/131072) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(pow.f64 (/.f64 (log.f64 1/131072) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 1/131072) (PI.f64)) (/.f64 (log.f64 1/131072) (PI.f64))) (/.f64 (log.f64 1/131072) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))
(.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (cbrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(pow.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (log.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f))))
(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (*.f64 (/.f64 2 (PI.f64)) 2) f)))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (/.f64 1 (PI.f64)) 4))
(.f64 1 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(/.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (PI.f64)) 1/4)
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (/.f64 1 (PI.f64)) 4))
(.f64 1 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)))
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (*.f64 (PI.f64) 1/4))))
(.f64 2 (/.f64 1 (.f64 (*.f64 (PI.f64) 1/2) f)))
(.f64 1 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (cbrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)))) (cbrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (sqrt.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
(pow.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) 1)
(log.f64 (exp.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))) (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(expm1.f64 (log1p.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(exp.f64 (log.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(log1p.f64 (expm1.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))))
(*.f64 1 (PI.f64))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1984×	`fma-def`
646×	`associate-l`
638×	`associate-r`
548×	`log-prod`
486×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	6404
1	821	5988
2	4323	5800

Stop Event

1×	node limit

Counts

218 → 183

Calls

Call 1

Inputs
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))))
(+.f64 (.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) f) (PI.f64))) (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2)))) (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/64 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3))))) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) f) (PI.f64))) (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2)))) (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/1048576 (PI.f64)))) (PI.f64)))
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(log1p.f64 (expm1.f64 (PI.f64)))
(/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))

Outputs
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(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
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(/.f64 (log.f64 (.f64 (+.f64 1 (fma.f64 1/4 (.f64 (PI.f64) f) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)))) (log.f64 1/262144)) (*.f64 (PI.f64) 1/4))
(.f64 (log.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 f 1/4) (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f))) 1/262144 1/262144)) (/.f64 4 (PI.f64)))
(log.f64 (exp.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 (+.f64 1 (fma.f64 1/4 (.f64 (PI.f64) f) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)))) (log.f64 1/262144)) (*.f64 (PI.f64) 1/4))
(.f64 (log.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 f 1/4) (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f))) 1/262144 1/262144)) (/.f64 4 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 (+.f64 1 (fma.f64 1/4 (.f64 (PI.f64) f) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)))) (log.f64 1/262144)) (*.f64 (PI.f64) 1/4))
(.f64 (log.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 f 1/4) (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f))) 1/262144 1/262144)) (/.f64 4 (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 (+.f64 1 (fma.f64 1/4 (.f64 (PI.f64) f) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)))) (log.f64 1/262144)) (*.f64 (PI.f64) 1/4))
(.f64 (log.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 f 1/4) (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f))) 1/262144 1/262144)) (/.f64 4 (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 (+.f64 1 (fma.f64 1/4 (.f64 (PI.f64) f) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)))) (log.f64 1/262144)) (*.f64 (PI.f64) 1/4))
(.f64 (log.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 f 1/4) (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f))) 1/262144 1/262144)) (/.f64 4 (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (.f64 (+.f64 1 (fma.f64 1/4 (.f64 (PI.f64) f) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))) 1/262144)) (*.f64 (PI.f64) 1/4))
(/.f64 (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)))) (log.f64 1/262144)) (*.f64 (PI.f64) 1/4))
(.f64 (log.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 f 1/4) (pow.f64 (exp.f64 (PI.f64)) (*.f64 -1/4 f))) 1/262144 1/262144)) (/.f64 4 (PI.f64)))

eval174.0ms (0.7%)

Compiler: Compiled 9322 to 6623 computations (29% saved)

prune184.0ms (0.7%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	323	13	336
Fresh	5	16	21
Picked	5	0	5
Done	0	1	1
Total	333	30	363

Accurracy

97.7%

Counts

363 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (PI.f64)) (.f64 f f) 0)))
▶	97.0%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	97.0%	(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
	97.0%	(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	96.6%	(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64)))) -4)
	96.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (/.f64 -4 (PI.f64)))
✓	6.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	96.8%	(.f64 (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
▶	95.8%	(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	95.7%	(.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	96.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	96.4%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
▶	1.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
	96.8%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	5.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/1048576))) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	76.7%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	95.4%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4)))))
	0.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
▶	97.1%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (PI.f64)) (.f64 f f) 0)))
▶	97.0%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	97.0%	(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
	97.0%	(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	96.6%	(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64)))) -4)
	96.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (/.f64 -4 (PI.f64)))
✓	6.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	96.8%	(.f64 (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
▶	95.8%	(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	95.7%	(.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)))
	95.2%	(neg.f64 (/.f64 4 (/.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
	96.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	96.4%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
▶	1.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
	96.8%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	5.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	95.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/1048576))) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	76.7%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	95.4%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4)))))
	0.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 2258 to 1868 computations (17.3% saved)

localize514.0ms (1.9%)

Local Accuracy

Found 17 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 (PI.f64) f)
✓	98.5%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
	97.7%	(PI.f64)
✓	91.4%	(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
	99.6%	(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
✓	99.5%	(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))
✓	98.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))))
	97.7%	(PI.f64)
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
	97.7%	(PI.f64)
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
	97.7%	(PI.f64)
✓	98.5%	(.f64 (PI.f64) (.f64 (PI.f64) 1/12))
✓	98.5%	(*.f64 (PI.f64) 1/12)
	97.7%	(PI.f64)
	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 438 to 286 computations (34.7% saved)

series2.0ms (0%)

Counts

10 → 76

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
0.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
0.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
0.0ms	f	@	0	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))))
0.0ms	f	@	-inf	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`add-sqr-sqrt`
768×	`pow1`
760×	`*-un-lft-identity`
754×	`add-exp-log`
746×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	242
1	852	234

Stop Event

1×	node limit

Counts

10 → 177

Calls

Call 1

Inputs
(*.f64 (PI.f64) 1/12)
(.f64 (PI.f64) (.f64 (PI.f64) 1/12))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
(*.f64 (PI.f64) f)

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

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1010×	`log-prod`
814×	`associate-+r+`
522×	`sqr-pow`
440×	`fma-neg`
438×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	434	8475
1	1048	7247
2	4203	6959

Stop Event

1×	node limit

Counts

253 → 228

Calls

Call 1

Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(*.f64 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))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) f) (PI.f64))))
(+.f64 (.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) f) (PI.f64))) (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2)))) (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/64 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3))))) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) f) (PI.f64))) (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2)))) (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/1048576 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 16 (/.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/1048576 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 16 (/.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 f (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2) (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/1048576 (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 16 (/.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 f (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 256/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 3) (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2) (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/1048576 (PI.f64)))) (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/1048576 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 16 (/.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/1048576 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 16 (/.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 f (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2) (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/1048576 (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 16 (/.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 f (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 256/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 3) (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 -32 (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2) (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/1048576 (PI.f64)))) (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))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 2) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/4))))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(.f64 -1 (log.f64 (.f64 (PI.f64) 1/4)))
(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)))
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1)
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
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(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(*.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.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 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (*.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1))
(fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 1)
(.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))))
(/.f64 (neg.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) -1)
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 1)
(.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))))) -1)
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(.f64 1 (.f64 (PI.f64) f))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2) (cbrt.f64 (*.f64 (PI.f64) f)))
(.f64 (sqrt.f64 (.f64 (PI.f64) f)) (sqrt.f64 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) f)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (.f64 (PI.f64) f))))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144))))) 1)
(/.f64 (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144)) (.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144)))) 2)
(log.f64 (pow.f64 (.f64 (+.f64 1 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) 1/262144) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 (+.f64 1 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) 1/262144) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144)))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (+.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) (log.f64 1/262144)))) 1))
(log1p.f64 (-.f64 (pow.f64 (.f64 (+.f64 1 (fma.f64 (.f64 (PI.f64) f) 1/4 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (neg.f64 f)))) 1/262144) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) f)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) f)))) (sqrt.f64 (log.f64 (.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (.f64 (PI.f64) f))))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

Outputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
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eval400.0ms (1.5%)

Compiler: Compiled 22078 to 14432 computations (34.6% saved)

prune102.0ms (0.4%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	891	11	902
Fresh	7	17	24
Picked	2	3	5
Done	0	1	1
Total	900	32	932

Accurracy

97.7%

Counts

932 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (PI.f64)) (*.f64 f f) 0)))
	96.6%	(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) -4)
	95.6%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64)) -4)
✓	97.0%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
	97.0%	(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)) -4)
	97.0%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
	95.6%	(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
	97.0%	(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	96.8%	(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))) -4)
	96.9%	(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))) -4)
	96.9%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (/.f64 -4 (PI.f64)))
✓	6.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	95.8%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
	95.7%	(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
	1.6%	(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)))
	96.8%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	96.4%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
✓	1.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
	96.8%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
	96.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
✓	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
	96.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
	5.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/1048576))) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))))
	1.6%	(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
	76.7%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	95.4%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4)))))
	0.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 1645 to 1264 computations (23.2% saved)

regimes108.0ms (0.4%)

Counts

58 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(.f64 (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/1048576))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3)) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64)) -4)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) -4)
(.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64)))) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (/.f64 4 (/.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (PI.f64)) (*.f64 f f) 0)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (PI.f64)) (.f64 f f) 0)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/192)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) (/.f64 2 (.f64 (PI.f64) (*.f64 f 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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/8) (/.f64 -2 (/.f64 48 (PI.f64)))) 0) (PI.f64)) (*.f64 f f) 0)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 -2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 48))) 0) (PI.f64)) (.f64 f f) 0)))

Outputs
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (PI.f64)) (*.f64 f f) 0)))

Calls

6 calls:

26.0ms	f
26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
8.0ms	(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))))))
7.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

Accuracy	Segments	Branch
97.1%	1	`f`
97.1%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
97.1%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
97.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
97.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
97.1%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1215 to 902 computations (25.8% saved)

regimes61.0ms (0.2%)

Counts

49 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(.f64 (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))) -4)
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))))))
(neg.f64 (*.f64 4 (log1p.f64 (expm1.f64 (/.f64 (log.f64 1/131072) (PI.f64))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/1048576))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))) -4)
(*.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/131072 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3)) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64)) -4)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) -4)
(.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(.f64 (log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))) -4)
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (*.f64 (PI.f64) 1/4)))))
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (log.f64 (exp.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (log.f64 (exp.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))))
(neg.f64 (/.f64 (log.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (PI.f64) f)) (exp.f64 (.f64 (.f64 (PI.f64) 1/4) (neg.f64 f))))) 1/262144)) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (exp.f64 (log.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 1/4 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (PI.f64)))) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (/.f64 4 (/.f64 (.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)))))

Outputs
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)) -4)

Calls

2 calls:

22.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
21.0ms	f

Results

Accuracy	Segments	Branch
97.0%	1	`f`
97.0%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 775 to 586 computations (24.4% saved)

regimes7.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(.f64 (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) 0)) (/.f64 -4 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))) -4)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`f`

Compiler

Compiled 72 to 54 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

32×	`neg-mul-1`
30×	`*-commutative`
26×	`unsub-neg`
18×	`+-commutative`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	184
1	62	184
2	79	184
3	93	184
4	119	184
5	154	184
6	156	184

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (PI.f64)) (*.f64 f f) 0)))
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)) -4)
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))

Outputs
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (/.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (PI.f64)) (*.f64 f f) 0)))
(*.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)) -4)
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(*.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 1/131072) (PI.f64))))
(*.f64 4 (neg.f64 (/.f64 (log.f64 1/131072) (PI.f64))))

Compiler

Compiled 60 to 49 computations (18.3% saved)

soundness1.6s (6%)

Rules

1984×	`fma-def`
1700×	`fma-def`
1700×	`fma-def`
1620×	`times-frac`
1620×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	127	117
3	334	109
4	987	109
5	2558	109
6	6093	109
0	191	8240
1	548	7552
2	2065	7052
0	61	606
1	1343	606
0	571	14196
1	1393	11066
2	6519	11042
0	53	335
1	1150	335
0	361	6404
1	821	5988
2	4323	5800
0	61	606
1	1343	606
0	571	14196
1	1393	11066
2	6519	11042
0	32	200
1	702	200
0	191	8240
1	548	7552
2	2065	7052
0	571	14196
1	1393	11066
2	6519	11042
0	41	242
1	852	234

Stop Event

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

Compiler

Compiled 1904 to 1364 computations (28.4% saved)

end0.0ms (0%)

preprocess61.0ms (0.2%)

Compiler: Compiled 190 to 146 computations (23.2% saved)

analyze419.0ms (1.6%)

sample16.8s (62.7%)

preprocess57.0ms (0.2%)

simplify60.0ms (0.2%)

eval4.0ms (0%)

prune4.0ms (0%)

localize1.7s (6.5%)

series439.0ms (1.6%)

rewrite85.0ms (0.3%)

simplify109.0ms (0.4%)

eval115.0ms (0.4%)

prune73.0ms (0.3%)

localize1.7s (6.5%)

series201.0ms (0.8%)

rewrite132.0ms (0.5%)

simplify163.0ms (0.6%)

eval273.0ms (1%)

prune121.0ms (0.5%)

localize597.0ms (2.2%)

series7.0ms (0%)

rewrite109.0ms (0.4%)

simplify100.0ms (0.4%)

eval174.0ms (0.7%)

prune184.0ms (0.7%)

localize514.0ms (1.9%)

series2.0ms (0%)

rewrite84.0ms (0.3%)

simplify118.0ms (0.4%)

eval400.0ms (1.5%)

prune102.0ms (0.4%)

regimes108.0ms (0.4%)

regimes61.0ms (0.2%)

regimes7.0ms (0%)

regimes5.0ms (0%)

simplify9.0ms (0%)

soundness1.6s (6%)

end0.0ms (0%)

preprocess61.0ms (0.2%)

Profiling