Details

analyze316.0ms (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
0%	0%	75%	0%	25%	0%	0%	3
0%	0%	62.5%	0%	25%	0%	12.5%	4
0%	0%	56.2%	0%	25%	0%	18.7%	5
6.3%	3.1%	46.9%	0%	25%	3.1%	21.9%	6
6.5%	3.1%	45.3%	0%	25%	3.1%	23.4%	7
6.6%	3.1%	44.5%	0%	25%	3.1%	24.2%	8
7.4%	3.5%	44.1%	0%	25%	3.1%	24.2%	9
7.8%	3.7%	43.9%	0%	25%	3.1%	24.2%	10
8%	3.8%	43.8%	0%	25%	3.1%	24.2%	11
8%	3.8%	43.8%	0%	25%	3.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample9.5s (47.3%)

Results

3.1s	3994×	body	1024	valid
2.8s	4080×	body	1024	invalid
951.0ms	2102×	body	512	invalid
946.0ms	2042×	body	512	valid
802.0ms	543×	body	2048	valid
590.0ms	1677×	body	256	valid
250.0ms	1026×	body	256	invalid
3.0ms	7×	body	256	unsamplable
2.0ms	2×	body	2048	invalid

Bogosity

preprocess71.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (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	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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)))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify68.0ms (0.3%)

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)

prune3.0ms (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

2.2%

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.2%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶	2.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

2.2%

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

▶

2.2%

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

Compiler

Compiled 71 to 54 computations (23.9% saved)

localize153.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	98.4%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	93.2%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 197 to 144 computations (26.9% saved)

series116.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
67.0ms	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)))))))
40.0ms	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)))))))
4.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	100
1	412	100
2	6824	100

Stop Event

1×

unsound

Counts

4 → 104

Calls

Call 1

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

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1540×	`times-frac`
1292×	`fma-def`
686×	`distribute-rgt-in`
686×	`distribute-lft-in`
662×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	3510
1	432	3242
2	1683	2942

Stop Event

1×	node limit

Counts

152 → 80

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

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

localize113.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))
✓	99.9%	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓	98.4%	(/.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)))))
✓	93.2%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))

Compiler

Compiled 146 to 94 computations (35.6% saved)

series107.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
25.0ms	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)))
14.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))
1.0ms	f	@	0	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))))

rewrite186.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`prod-diff`
716×	`expm1-udef`
710×	`log1p-udef`
450×	`add-sqr-sqrt`
442×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	262
1	455	262
2	6119	262

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

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

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

simplify138.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

290×	`+-commutative`
176×	`*-commutative`
132×	`fma-udef`
108×	`sqr-pow`
56×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	613	13384
1	2069	13384

Stop Event

1×

unsound

Counts

276 → 327

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 (.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)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.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 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (PI.f64)))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
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(sqrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1)
(.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 1)
(.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(*.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)))
(.f64 (pow.f64 1 (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (.f64 (PI.f64) -1/4)) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(.f64 (pow.f64 1 f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(exp.f64 (.f64 (PI.f64) (.f64 1/4 f)))
(exp.f64 (.f64 (.f64 (PI.f64) (*.f64 1/4 f)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 f) -1/4)) (PI.f64)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) -2) 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)))))
(fma.f64 (.f64 (PI.f64) -2) f (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) -2) 1/192)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) -2) f (.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 1/192))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.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) -2) f (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) -2) 1/192) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 (/.f64 -2 (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)))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (+.f64 (/.f64 (/.f64 -2 (PI.f64)) f) (.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -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) -2)) (+.f64 (/.f64 (/.f64 -2 (PI.f64)) f) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (.f64 f (+.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) -2)) (.f64 (PI.f64) -2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (.f64 (PI.f64) -2) -2)) -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) -2)) (fma.f64 (.f64 f f) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) -2) (.f64 (PI.f64) -2)) -2) (/.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) -2) (/.f64 (.f64 (PI.f64) -2) (.f64 (pow.f64 (PI.f64) -2) 1/192)))) (+.f64 (/.f64 (/.f64 -2 (PI.f64)) f) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (.f64 f (+.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) -2)) (.f64 (PI.f64) -2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (*.f64 (PI.f64) -2) -2)) -2)))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 -2 (PI.f64)))) (PI.f64)))
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1
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-2
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-2
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-2
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-2
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-2
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-2
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-2
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-2
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-2
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-2
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-2
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(pow.f64 (/.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) 2)
(pow.f64 (/.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (sqrt.f64 -2)) -2)
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(pow.f64 (exp.f64 (sqrt.f64 -2)) (sqrt.f64 -2))
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(sqrt.f64 -2)
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(/.f64 (/.f64 -2 (PI.f64)) -1/4)
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(pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 3) 1/3)
(/.f64 -2 (PI.f64))
(pow.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 2)
(pow.f64 (sqrt.f64 (/.f64 -2 (PI.f64))) -2)
(sqrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 2))
(sqrt.f64 (/.f64 -2 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))
(/.f64 -2 (PI.f64))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 -2 (/.f64 4 (PI.f64))) -2))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64))) 3))
(/.f64 -2 (PI.f64))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(/.f64 -2 (PI.f64))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3)))
(/.f64 -2 (PI.f64))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(/.f64 -2 (PI.f64))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))))
(/.f64 -2 (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (/.f64 4 (PI.f64)))) 1))
(/.f64 -2 (PI.f64))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 -2 (/.f64 4 (PI.f64))) -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1)
-2
(.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 1)
-2
(.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
-2
(.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))
-2
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
-2
(*.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)))
(pow.f64 (exp.f64 f) (*.f64 -2 (/.f64 (PI.f64) -8)))
(.f64 (pow.f64 1 (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
-2
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 f)) (.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) -2)) (*.f64 (PI.f64) -1/4)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (.f64 (PI.f64) -1/4)) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(pow.f64 (sqrt.f64 (exp.f64 f)) (.f64 -2 (.f64 (PI.f64) -1/4)))
(.f64 (pow.f64 1 f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
-2
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) 2)) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) -2)) f))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) (*.f64 -2 f))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 2))
(sqrt.f64 -2)
(log.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
-2
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
-2
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 3))
-2
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
-2
(exp.f64 (.f64 (PI.f64) (.f64 1/4 f)))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(exp.f64 (.f64 (.f64 (PI.f64) (*.f64 1/4 f)) 1))
(pow.f64 (exp.f64 (PI.f64)) (*.f64 1/4 f))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 f) -1/4)) (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
-2

eval404.0ms (2%)

Compiler: Compiled 22050 to 14982 computations (32.1% saved)

prune94.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	445	9	454
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	447	9	456

Accurracy

98.2%

Counts

456 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.6%	(/.f64 -2 (PI.f64))
▶	2.2%	(.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)))
▶	97.2%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
	97.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	97.6%	(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)))) (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))))))))
	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
▶	97.1%	(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 (*.f64 (PI.f64) 1/2) f)))))
	97.2%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))

Compiler

Compiled 446 to 354 computations (20.6% saved)

localize191.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 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))))))
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	98.4%	(pow.f64 (PI.f64) 5)
✓	98.4%	(pow.f64 (PI.f64) 3)

Compiler

Compiled 295 to 219 computations (25.8% saved)

series9.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

1.0ms

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

rewrite48.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`add-sqr-sqrt`
616×	`pow1`
610×	`add-exp-log`
608×	`*-un-lft-identity`
606×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	36
1	672	36

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

Outputs
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
f

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1284×	`fma-def`
1270×	`associate-r`
1112×	`associate-l`
684×	`associate-/r*`
668×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2840
1	594	2724
2	2128	2644

Stop Event

1×	node limit

Counts

244 → 99

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (.f64 3/2 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (.f64 1/720 (/.f64 (-.f64 (+.f64 (.f64 -15/4 (/.f64 (.f64 (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 -3/256 (/.f64 (.f64 (+.f64 (.f64 -320 (/.f64 (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (.f64 -603979776000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))) (.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6)))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 -1 f))))
(-.f64 (+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 -1 f)))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2560 (/.f64 (.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 -1 f))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
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-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125

Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (.f64 f (.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0)))
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(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0)))
(-.f64 (fma.f64 (.f64 f f) (.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
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(+.f64 (.f64 (log.f64 f) -5) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))))
(fma.f64 (log.f64 f) -5 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (/.f64 320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 (log.f64 f) -5) (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))) (/.f64 -320 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))))))
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(-.f64 (+.f64 (.f64 1/720 (/.f64 (-.f64 (+.f64 (.f64 15/4 (/.f64 (.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 3/256 (/.f64 (.f64 (+.f64 (.f64 -320 (/.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (.f64 603979776000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))))) (.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2560 (/.f64 (.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))) (+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 -1 f)))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 1/720 (/.f64 (-.f64 (fma.f64 15/4 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 3))) (.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (pow.f64 (PI.f64) 2)) (/.f64 (.f64 603979776000 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))) (pow.f64 (PI.f64) 11))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (/.f64 7864320000 (pow.f64 (PI.f64) 6))) (pow.f64 f 6)) (fma.f64 1/24 (/.f64 (-.f64 (.f64 1/2560 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (+.f64 (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)) -61440)) (.f64 5 (log.f64 (/.f64 -1 f)))))) (/.f64 320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (fma.f64 1/720 (/.f64 (fma.f64 15/4 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 3)) 4404019200)) (fma.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (pow.f64 (PI.f64) 2) 4404019200)) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 11)) 603979776000)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (pow.f64 f 6)) (fma.f64 1/24 (/.f64 (fma.f64 1/2560 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) 4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440))))) (/.f64 -320 (.f64 f (.f64 f (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 (fma.f64 1/24 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) 1720320) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5))) (/.f64 -51200 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (+.f64 (/.f64 (fma.f64 1/720 (fma.f64 3/256 (.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 11)) 603979776000 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) -1409286144000) (pow.f64 (PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (pow.f64 (PI.f64) 5)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) 16515072000)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (/.f64 -32768000/3 (pow.f64 (PI.f64) 6))) (pow.f64 f 6)) (+.f64 (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)) -61440)) (fma.f64 5 (log.f64 (/.f64 -1 f)) (/.f64 (/.f64 -320 (*.f64 f f)) (pow.f64 (PI.f64) 2))))))
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125
-64
-16
-4
-2
-1
-1/4
0
1/12475583382146119654829804595707904000000000
1/53790705718937052512256000000
1/354577405862133891072
1/14249670695976960000
1/231928233984000
1/50096498540544
1/3774873600
1/1358954496
1/7077888
1/61440
1/36864
1/512
1/192
1/64
1/16
1/8
1/4
1/2
3/4
1
61441/61440
193/192
5/4
3/2
2
9/4
5/2
3
27/8
4
5
6
25/4
8
9
10
125/8
16
25
27
64
81
125
256
625
729
4096
15625
19683
262144
1953125

localize3.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

localize22.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.4%	(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 43 to 28 computations (34.9% saved)

series102.0ms (0.5%)

Counts

3 → 20

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	f	@	-inf	(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
29.0ms	f	@	0	(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
10.0ms	f	@	inf	(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms	f	@	-inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`log-prod`
816×	`prod-diff`
808×	`pow-prod-down`
594×	`pow-prod-up`
546×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	253	65
2	3338	65

Stop Event

1×	node limit

Counts

3 → 224

Calls

Call 1

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

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

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1864×	`fma-neg`
1202×	`div-sub`
718×	`log-prod`
414×	`times-frac`
398×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	9582
1	1267	8790
2	4919	8608

Stop Event

1×	node limit

Counts

244 → 301

Calls

Call 1

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

localize65.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(.f64 (.f64 (PI.f64) 1/2) f)
✓	99.5%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (.f64 (PI.f64) 1/2) f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
✓	98.5%	(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)))

Compiler

Compiled 156 to 112 computations (28.2% saved)

series52.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (.f64 (PI.f64) 1/2) f)))
19.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (.f64 (PI.f64) 1/2) f)))
6.0ms	f	@	0	(.f64 (.f64 (PI.f64) 1/2) f)
5.0ms	f	@	-inf	(/.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))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (.f64 (PI.f64) 1/2) f)))

rewrite42.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`add-sqr-sqrt`
424×	`pow1`
424×	`*-un-lft-identity`
412×	`add-exp-log`
410×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	188
1	449	188
2	7362	188

Stop Event

1×

unsound

Counts

4 → 130

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (.f64 (PI.f64) 1/2) f)))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (.f64 (PI.f64) 1/2) f))
(.f64 (.f64 (PI.f64) 1/2) f)

Outputs
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -1) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(*.f64 -64 (log.f64 -64))
(*.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) (log.f64 -64))
(*.f64 (log.f64 -64) 1)
(*.f64 1 (log.f64 -64))
(*.f64 -1 (log.f64 -64))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 -64))
(.f64 (.f64 (log.f64 -64) (/.f64 1 (PI.f64))) -64)
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) 1) -64)
(*.f64 (/.f64 (log.f64 -64) 1) (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) (neg.f64 (PI.f64))) -64)
(/.f64 (log.f64 -64) -64)
(/.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log1p.f64 1)
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -1) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(/.f64 (log.f64 -64) -64)
(/.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(log.f64 -64)
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log1p.f64 1)
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1350×	`fma-def`
1276×	`associate-l`
568×	`associate-+r+`
520×	`associate-+l+`
508×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	3912
1	438	3746
2	1633	3650
3	7144	3650

Stop Event

1×	node limit

Counts

178 → 158

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 3) (.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 4)) (.f64 -3/256 (pow.f64 (PI.f64) 4))) (pow.f64 f 4))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 3) (.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.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 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.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 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.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 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.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 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 2 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 4)) (.f64 -3/256 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (PI.f64))) (+.f64 (.f64 2 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/8 (.f64 f (PI.f64))))
(+.f64 (.f64 2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/8 (.f64 f (PI.f64)))))
(+.f64 (.f64 2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (+.f64 (.f64 1/1536 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 1/8 (.f64 f (PI.f64))))))
(.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 f (PI.f64))))
(.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 f (PI.f64))))
(.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 f (PI.f64))))
(.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 f (PI.f64))))
(.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 f (PI.f64))))
(.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 f (PI.f64))))
(.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 f (PI.f64))))
(.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 f (PI.f64))))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -1) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(*.f64 -64 (log.f64 -64))
(*.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) (log.f64 -64))
(*.f64 (log.f64 -64) 1)
(*.f64 1 (log.f64 -64))
(*.f64 -1 (log.f64 -64))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 -64))
(.f64 (.f64 (log.f64 -64) (/.f64 1 (PI.f64))) -64)
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) 1) -64)
(*.f64 (/.f64 (log.f64 -64) 1) (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) (neg.f64 (PI.f64))) -64)
(/.f64 (log.f64 -64) -64)
(/.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log1p.f64 1)
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -1) (log.f64 -64))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(-.f64 (log.f64 -64) (log.f64 -64))
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(/.f64 (log.f64 -64) -64)
(/.f64 (log.f64 -64) (log.f64 -64))
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(log.f64 -64)
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(exp.f64 (log.f64 (log.f64 -64)))
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log1p.f64 1)
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144

Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (fma.f64 1/32 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 f (.f64 f 1/32)) (log.f64 4)) (log.f64 (*.f64 f (PI.f64))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 3) (.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (fma.f64 1/32 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 f (.f64 f 1/32)) (log.f64 4)) (log.f64 (*.f64 f (PI.f64))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 1/256 (pow.f64 (PI.f64) 4)) (.f64 -3/256 (pow.f64 (PI.f64) 4))) (pow.f64 f 4))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 3) (.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 2)) (.f64 1/384 (pow.f64 (PI.f64) 2))) (PI.f64)))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 4) -1/128) (pow.f64 f 4)) (fma.f64 1/2 (.f64 (pow.f64 f 3) (.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(fma.f64 1/32 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (.f64 -1/128 (pow.f64 f 4))) (-.f64 (fma.f64 1/2 (.f64 (PI.f64) (.f64 (pow.f64 f 3) 0)) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(fma.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 4) -1/3072) (-.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 f (.f64 f 1/32)) (log.f64 4)) (log.f64 (.f64 f (PI.f64)))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.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 (neg.f64 (log.f64 f)) (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64)))))
(-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))) (log.f64 f))
(-.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.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 (neg.f64 (log.f64 f)) (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (PI.f64)))))
(-.f64 (log.f64 (/.f64 2 (/.f64 (PI.f64) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))) (log.f64 f))
(-.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))
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(.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 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(.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 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(.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 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(.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 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(.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 f (PI.f64))))
(.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (.f64 f (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) f) (/.f64 2 (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(*.f64 2 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -64) (neg.f64 (log.f64 (PI.f64))))
(-.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -1) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -1))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(+.f64 (log.f64 -64) 64)
(-.f64 (log.f64 -64) (log.f64 -64))
0
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(log.f64 -64)
(*.f64 -64 (log.f64 -64))
(*.f64 (log.f64 -64) -64)
(*.f64 -64 (log.f64 -64))
(*.f64 (log.f64 -64) (log.f64 -64))
(pow.f64 (log.f64 -64) 2)
(*.f64 (log.f64 -64) 1)
(log.f64 -64)
(*.f64 1 (log.f64 -64))
(log.f64 -64)
(*.f64 -1 (log.f64 -64))
(neg.f64 (log.f64 -64))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 -64))
(/.f64 (log.f64 -64) (PI.f64))
(.f64 (.f64 (log.f64 -64) (/.f64 1 (PI.f64))) -64)
(*.f64 -64 (/.f64 (log.f64 -64) (PI.f64)))
(*.f64 (log.f64 -64) (/.f64 -64 (PI.f64)))
(/.f64 (log.f64 -64) (/.f64 (PI.f64) -64))
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(*.f64 -64 (/.f64 (log.f64 -64) (PI.f64)))
(*.f64 (log.f64 -64) (/.f64 -64 (PI.f64)))
(/.f64 (log.f64 -64) (/.f64 (PI.f64) -64))
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) (log.f64 -64))
(*.f64 (log.f64 -64) (/.f64 (log.f64 -64) (PI.f64)))
(/.f64 (pow.f64 (log.f64 -64) 2) (PI.f64))
(*.f64 (/.f64 (log.f64 -64) 1) -64)
(*.f64 -64 (log.f64 -64))
(*.f64 (/.f64 (log.f64 -64) 1) (log.f64 -64))
(*.f64 (log.f64 -64) (log.f64 -64))
(pow.f64 (log.f64 -64) 2)
(*.f64 (/.f64 (log.f64 -64) (neg.f64 (PI.f64))) -64)
(*.f64 -64 (/.f64 (log.f64 -64) (neg.f64 (PI.f64))))
(*.f64 64 (/.f64 (log.f64 -64) (PI.f64)))
(*.f64 (/.f64 (log.f64 -64) (PI.f64)) 64)
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(/.f64 (log.f64 -64) (log.f64 -64))
1
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 (pow.f64 (log.f64 -64) 2) -64)
(*.f64 -1/64 (pow.f64 (log.f64 -64) 2))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (log.f64 -64) 64)
(*.f64 (log.f64 -64) 1/64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (log.f64 -64) (*.f64 -64 (PI.f64)))
(/.f64 (log.f64 -64) (*.f64 (PI.f64) -64))
(*.f64 (/.f64 -1/64 (PI.f64)) (log.f64 -64))
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(log.f64 -64)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(cbrt.f64 (log.f64 -64))
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(log.f64 -64)
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (log.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log.f64 -64)
(log1p.f64 1)
(+.f64 -64 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -64))
(*.f64 2 (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -64) (log.f64 (neg.f64 f)))
(+.f64 (log.f64 f) (log.f64 -64))
(+.f64 (log.f64 (PI.f64)) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 -64))
(+.f64 (log.f64 -64) (neg.f64 (log.f64 (PI.f64))))
(-.f64 (log.f64 -64) (log.f64 (PI.f64)))
(+.f64 (log.f64 -1) (log.f64 -64))
(+.f64 (log.f64 -64) (log.f64 -1))
(-.f64 -64 (log.f64 -64))
(-.f64 (log.f64 -64) -64)
(+.f64 (log.f64 -64) 64)
(-.f64 (log.f64 -64) (log.f64 -64))
0
(-.f64 (log.f64 -64) (log.f64 f))
(-.f64 (log.f64 (PI.f64)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 -64))
(-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 -64))
(-.f64 (log.f64 -1) (log.f64 -64))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -64))
(-.f64 (exp.f64 (log1p.f64 (log.f64 -64))) 1)
(log.f64 -64)
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(/.f64 (log.f64 -64) (log.f64 -64))
1
(/.f64 (log.f64 -64) (/.f64 -64 (log.f64 -64)))
(/.f64 (pow.f64 (log.f64 -64) 2) -64)
(*.f64 -1/64 (pow.f64 (log.f64 -64) 2))
(/.f64 1 (/.f64 -64 (log.f64 -64)))
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(/.f64 (*.f64 (log.f64 -64) -1) -64)
(/.f64 (log.f64 -64) 64)
(*.f64 (log.f64 -64) 1/64)
(/.f64 (/.f64 (log.f64 -64) (PI.f64)) -64)
(/.f64 (log.f64 -64) (*.f64 -64 (PI.f64)))
(/.f64 (log.f64 -64) (*.f64 (PI.f64) -64))
(*.f64 (/.f64 -1/64 (PI.f64)) (log.f64 -64))
(/.f64 (/.f64 (log.f64 -64) 1) -64)
(/.f64 (log.f64 -64) -64)
(*.f64 (log.f64 -64) -1/64)
(pow.f64 (log.f64 -64) -64)
(pow.f64 (log.f64 -64) 1)
(log.f64 -64)
(pow.f64 (log.f64 -64) 3)
(pow.f64 (log.f64 -64) 1/3)
(cbrt.f64 (log.f64 -64))
(neg.f64 (log.f64 -64))
(sqrt.f64 (log.f64 -64))
(fabs.f64 (log.f64 -64))
(log.f64 -64)
(log.f64 -64)
(cbrt.f64 (log.f64 -64))
(expm1.f64 (log1p.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (log.f64 (log.f64 -64)))
(log.f64 -64)
(exp.f64 (*.f64 (log.f64 (log.f64 -64)) 1))
(log.f64 -64)
(log1p.f64 1)
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144
-64
-16
-4
-2
-1/2
-1/4
0
1/512
1/64
1/16
1/8
1/4
1/2
2
4
8
16
64
256
4096
262144

localize60.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.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)))
✓	99.6%	(*.f64 f (PI.f64))
✓	98.4%	(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
✓	93.2%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))

Compiler

Compiled 147 to 82 computations (44.2% saved)

series51.0ms (0.3%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	f	@	inf	(/.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))))))
11.0ms	f	@	-inf	(.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)))
7.0ms	f	@	inf	(.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)))
1.0ms	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))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	-inf	(/.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))))))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`prod-diff`
688×	`expm1-udef`
682×	`log1p-udef`
630×	`fma-def`
422×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	252
1	426	252
2	5634	252

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

Inputs
(-.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 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)))

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

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

162×	`*-commutative`
100×	`fma-udef`
92×	`sqr-pow`
72×	`+-commutative`
56×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	478	10141
1	1516	10141

Stop Event

1×

unsound

Counts

197 → 268

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

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) 0) 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)))))
(fma.f64 (.f64 (PI.f64) 0) f (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 0) 1/192)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 0) f (.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 0) 1/192))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.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) 0) f (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 0) 1/192) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 0 (.f64 (.f64 (PI.f64) 0) 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)))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 0)) (+.f64 (/.f64 0 (.f64 (.f64 (PI.f64) 0) f)) (/.f64 (.f64 1/4 (PI.f64)) (*.f64 (PI.f64) 0))))
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(cbrt.f64 (.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.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)))))) 3)))
(cbrt.f64 (.f64 (/.f64 -64 (pow.f64 (PI.f64) 0)) (pow.f64 (log.f64 (.f64 0 (.f64 0 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) 0)))
(expm1.f64 (log1p.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 (/.f64 -4 (PI.f64)) (log.f64 (.f64 0 (.f64 0 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(exp.f64 (log.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 (/.f64 -4 (PI.f64)) (log.f64 (.f64 0 (.f64 0 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(exp.f64 (.f64 (log.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))))) 1))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (.f64 0 (.f64 0 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(log1p.f64 (-.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))) 1))
(log1p.f64 (+.f64 (pow.f64 (.f64 0 (.f64 0 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) -2))

eval1.2s (6.1%)

Compiler: Compiled 29123 to 19853 computations (31.8% saved)

prune365.0ms (1.8%)

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	855	28	883
Fresh	2	2	4
Picked	0	1	1
Done	1	3	4
Total	858	34	892

Accurracy

100.0%

Counts

892 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.6%	(/.f64 -2 (PI.f64))
✓	2.2%	(.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)))
	97.2%	(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 f f) 1/8))))
▶	96.7%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2))
	96.3%	(neg.f64 (/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
	96.7%	(neg.f64 (/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (fma.f64 (log.f64 f) (log.f64 (/.f64 (.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
	96.8%	(neg.f64 (/.f64 (.f64 (/.f64 4 (PI.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))))
	97.3%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
▶	97.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	97.0%	(neg.f64 (+.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
	96.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
	95.8%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
✓	97.2%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
	1.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
	97.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	96.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.9%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	96.8%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
▶	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (.f64 f f) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	97.6%	(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)))) (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))))))))
	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 f (PI.f64)) 1/8)))))
	15.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
	15.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
	14.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
	14.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
	13.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
▶	4.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
	75.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
▶	96.0%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
	95.8%	(neg.f64 (exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
	96.8%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))

Compiler

Compiled 1083 to 908 computations (16.2% saved)

localize122.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(-.f64 (fma.f64 (.f64 f f) (.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (.f64 f f) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 2) 1/24)
	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 125 to 86 computations (31.2% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (.f64 f f) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
1.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (.f64 f f) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
1.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (.f64 f f) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
0.0ms	f	@	-inf	(-.f64 (fma.f64 (.f64 f f) (.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
0.0ms	f	@	0	(-.f64 (fma.f64 (.f64 f f) (.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`prod-diff`
778×	`expm1-udef`
772×	`log1p-udef`
460×	`add-sqr-sqrt`
440×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	131
1	498	131
2	5778	131

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

(*.f64 (pow.f64 (PI.f64) 2) 1/24)

(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))

(-.f64 (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(+.f64 (.f64 (/.f64 4 (PI.f64)) (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))))
(+.f64 (.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64))) (.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))) 1)
(-.f64 (/.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (*.f64 (PI.f64) 1/4))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (.f64 (.f64 (PI.f64) 1/4) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (.f64 (.f64 (PI.f64) 1/4) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (.f64 4 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (PI.f64) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (.f64 4 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (PI.f64) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (.f64 (PI.f64) -1/4) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (.f64 (PI.f64) -1/4) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (neg.f64 (PI.f64)) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (neg.f64 (PI.f64)) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))) (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) 4) (.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))) (PI.f64)))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))) (-.f64 (pow.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (neg.f64 (log.f64 f)) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (-.f64 (.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f))) (.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f)))) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))
(pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 2))
(log.f64 (/.f64 (.f64 (exp.f64 (.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) 1/48)) (/.f64 4 (PI.f64))) f))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(fma.f64 1 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (sqrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))

simplify237.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1230×	`div-sub`
1048×	`unswap-sqr`
534×	`times-frac`
510×	`fma-neg`
496×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	338	10682
1	961	10610
2	4393	10610

Stop Event

1×	node limit

Counts

142 → 160

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(+.f64 (.f64 (/.f64 4 (PI.f64)) (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))))
(+.f64 (.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64))) (.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))) 1)
(-.f64 (/.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (*.f64 (PI.f64) 1/4))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2) (/.f64 (.f64 (PI.f64) 1/4) (cbrt.f64 (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) (/.f64 (.f64 (PI.f64) 1/4) (sqrt.f64 (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (.f64 (.f64 (PI.f64) 1/4) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (.f64 (.f64 (PI.f64) 1/4) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (.f64 4 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (PI.f64) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (.f64 4 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (PI.f64) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (.f64 (PI.f64) -1/4) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (.f64 (PI.f64) -1/4) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (neg.f64 (PI.f64)) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (neg.f64 (PI.f64)) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))) (-.f64 (pow.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f)))) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))
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(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 2))
(log.f64 (/.f64 (.f64 (exp.f64 (.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) 1/48)) (/.f64 4 (PI.f64))) f))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(fma.f64 1 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
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Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24))) 1)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 3)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
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(*.f64 (pow.f64 (PI.f64) 2) 1/24)
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(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/576))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (log.f64 f) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 f))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (log.f64 f) (fma.f64 1/48 (.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 f))) (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2))) (neg.f64 (+.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (log.f64 f) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 f))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (neg.f64 (log.f64 f)) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (-.f64 (.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f))) (.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (log.f64 f) (+.f64 (log.f64 f) (fma.f64 1/48 (.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 f) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (fma.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 f))) (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) 2) (.f64 (neg.f64 (log.f64 f)) (neg.f64 (log.f64 f)))) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (log.f64 f) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 f))))
(pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 1)
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 3)
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(pow.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3) 1/3)
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 2)
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 2))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(log.f64 (/.f64 (.f64 (exp.f64 (.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) 1/48)) (/.f64 4 (PI.f64))) f))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) 3))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(exp.f64 (log.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))) 1))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(fma.f64 1 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f)))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) 2) (cbrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (sqrt.f64 (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (log.f64 f)))
(-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))

localize13.0ms (0.1%)

Compiler: Compiled 28 to 24 computations (14.3% saved)

localize67.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(*.f64 f (PI.f64))
✓	99.6%	(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
✓	99.5%	(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
✓	99.5%	(/.f64 4 (*.f64 f (PI.f64)))

Compiler

Compiled 47 to 26 computations (44.7% saved)

series77.0ms (0.4%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	f	@	inf	(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
14.0ms	f	@	-inf	(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
7.0ms	f	@	0	(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
2.0ms	f	@	inf	(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
1.0ms	f	@	-inf	(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`log-prod`
740×	`pow-prod-down`
606×	`pow-prod-up`
528×	`pow-exp`
464×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	256	75
2	3321	75

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

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

simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1452×	`fma-def`
1282×	`unswap-sqr`
1268×	`distribute-lft-in`
692×	`log-prod`
578×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	5649
1	781	4961
2	2530	4945

Stop Event

1×	node limit

Counts

157 → 187

Calls

Call 1

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

localize36.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
✓	98.3%	(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))

Compiler

Compiled 72 to 43 computations (40.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	f	@	0	(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
0.0ms	f	@	inf	(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
0.0ms	f	@	-inf	(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
0.0ms	f	@	0	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
0.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`log-prod`
770×	`pow-prod-down`
644×	`pow-prod-up`
560×	`pow-exp`
486×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	273	60
2	3390	60

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))

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

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1542×	`fma-def`
1464×	`times-frac`
1026×	`distribute-lft-in`
956×	`distribute-rgt-in`
662×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	4723
1	556	4441
2	1824	3937

Stop Event

1×	node limit

Counts

119 → 129

Calls

Call 1

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

localize38.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(*.f64 f (PI.f64))
	99.5%	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.2%	(pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2)

Compiler

Compiled 75 to 46 computations (38.7% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2)

1.0ms

-inf

(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2)

1.0ms

inf

(pow.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2)

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`log-prod`
802×	`pow-prod-down`
672×	`pow-prod-up`
594×	`pow-exp`
504×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	314	33
2	3602	33

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2)

Outputs
(+.f64 0 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (/.f64 1 (PI.f64)) 4))) (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (/.f64 1 (PI.f64)) 4))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (*.f64 (/.f64 1 (PI.f64)) 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (/.f64 1 (PI.f64)) 4)))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (/.f64 1 (PI.f64)) 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))) 1)
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (/.f64 1 (PI.f64)) 4))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 4)
(.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1)
(.f64 (.f64 2 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) (.f64 2 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(.f64 2 (pow.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 1/2))
(.f64 1 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) (pow.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2) (cbrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2) (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 4))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 4))
(.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 1/4) (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3/4))
(.f64 (.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3/4) (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1/4))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(.f64 (.f64 4 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(.f64 (.f64 (.f64 2 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 5/6) (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1/6))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64))
(/.f64 (neg.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
(/.f64 (.f64 4 (log.f64 (.f64 (*.f64 f (PI.f64)) 1/4))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (.f64 (*.f64 f (PI.f64)) 1/4)) 4) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1) (PI.f64))
(/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (/.f64 1 (PI.f64)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))) 1/3))
(log1p.f64 (expm1.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1174×	`log-div`
1032×	`log-prod`
764×	`times-frac`
658×	`associate-*r/`
550×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2559
1	358	2423
2	1034	2167
3	5412	2163

Stop Event

1×	node limit

Counts

59 → 69

Calls

Call 1

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

eval388.0ms (1.9%)

Compiler: Compiled 20052 to 14337 computations (28.5% saved)

prune183.0ms (0.9%)

Pruning

39 alts after pruning (31 fresh and 8 done)

	Pruned	Kept	Total
New	856	14	870
Fresh	8	17	25
Picked	0	1	1
Done	1	7	8
Total	865	39	904

Accurracy

100.0%

Counts

904 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.6%	(/.f64 -2 (PI.f64))
✓	2.2%	(.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)))
▶	97.5%	(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
✓	96.7%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2))
	96.0%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))) 2))
	97.3%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
▶	96.7%	(neg.f64 (/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)))
	97.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	1.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1))))))
✓	97.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	1.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (log.f64 (pow.f64 (exp.f64 f) (PI.f64))))))))
▶	97.1%	(neg.f64 (/.f64 4 (*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))))
	96.0%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))))
	96.6%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
	97.5%	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
	97.4%	(neg.f64 (+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))))
	97.0%	(neg.f64 (.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64)))))
	96.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
	95.8%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
✓	97.2%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
	1.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
	97.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
	96.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
▶	95.9%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	97.6%	(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)))) (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))))))))
	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 f (PI.f64)) 1/8)))))
	15.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
	15.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
	14.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
	14.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
▶	13.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
✓	4.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
	75.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
✓	96.0%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
	95.8%	(neg.f64 (exp.f64 (log.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))))
	96.8%	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) 3)))

Compiler

Compiled 1139 to 960 computations (15.7% saved)

localize37.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 1/12 (.f64 f f))
	99.6%	(-.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))
	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 82 to 46 computations (43.9% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`log-prod`
1180×	`prod-diff`
564×	`expm1-udef`
560×	`log1p-udef`
532×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	320	40
2	4195	40

Stop Event

1×	node limit

Counts

2 → 188

Calls

Call 1

Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 1/12 (.f64 f f))

Outputs
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) 1))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 1 (.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
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(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 0 (.f64 f (.f64 f 1/12)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 f 1/12)))) 1)
(pow.f64 (.f64 f (.f64 f 1/12)) 1)
(pow.f64 (cbrt.f64 (.f64 f (.f64 f 1/12))) 3)
(pow.f64 (pow.f64 (.f64 f (.f64 f 1/12)) 3) 1/3)
(pow.f64 (*.f64 f (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 f 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 f 1/12)))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 f 1/12)) 3))
(expm1.f64 (log1p.f64 (.f64 f (.f64 f 1/12))))
(exp.f64 (log.f64 (.f64 f (.f64 f 1/12))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 f 1/12))) 1))
(log1p.f64 (expm1.f64 (.f64 f (.f64 f 1/12))))

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1078×	`associate-+r+`
754×	`unswap-sqr`
586×	`distribute-lft-in`
564×	`distribute-rgt-in`
446×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	500	19486
1	1164	14586
2	3767	9526

Stop Event

1×	node limit

Counts

208 → 266

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 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
(*.f64 1/12 (pow.f64 f 2))
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(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
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(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) 1) (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) 1))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (sqrt.f64 (PI.f64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (sqrt.f64 (PI.f64))))))
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(+.f64 (fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))))))
(+.f64 (fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (.f64 (/.f64 (log.f64 f) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (cbrt.f64 (PI.f64)))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 (log.f64 f) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 f)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64))) (/.f64 (sqrt.f64 (log.f64 f)) 1) (.f64 (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 f)) 1))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (.f64 (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))))))
(-.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 4 (*.f64 f (PI.f64)))) (PI.f64)))) 1)
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 0 (.f64 f (.f64 f 1/12)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 f 1/12)))) 1)
(pow.f64 (.f64 f (.f64 f 1/12)) 1)
(pow.f64 (cbrt.f64 (.f64 f (.f64 f 1/12))) 3)
(pow.f64 (pow.f64 (.f64 f (.f64 f 1/12)) 3) 1/3)
(pow.f64 (*.f64 f (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 f 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 f 1/12)))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 f 1/12)) 3))
(expm1.f64 (log1p.f64 (.f64 f (.f64 f 1/12))))
(exp.f64 (log.f64 (.f64 f (.f64 f 1/12))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 f 1/12))) 1))
(log1p.f64 (expm1.f64 (.f64 f (.f64 f 1/12))))

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))
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(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)
(/.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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)
(/.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))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(/.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))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (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))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))
(/.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))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (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))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(/.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))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(/.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))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (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))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (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))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 1))
(/.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))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (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))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (/.f64 (log.f64 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))
(fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 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))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 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))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 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))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (/.f64 -1 (PI.f64)) (log.f64 f) (/.f64 (.f64 1 (log.f64 f)) (PI.f64))) (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (PI.f64))) (.f64 (/.f64 -1 (PI.f64)) (log.f64 f))))
(+.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) 0) (-.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (/.f64 -1 (PI.f64)) (log.f64 f) (/.f64 (.f64 1 (log.f64 f)) (PI.f64))) (fma.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 -1 (PI.f64)) (log.f64 f))))
(+.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) 0) (-.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (neg.f64 (/.f64 (log.f64 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))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (/.f64 -1 (PI.f64)) (log.f64 f) (/.f64 (.f64 1 (log.f64 f)) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (.f64 (/.f64 -1 (PI.f64)) (log.f64 f))))
(+.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 0) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) 3) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (/.f64 -1 (PI.f64)) (log.f64 f) (/.f64 (.f64 1 (log.f64 f)) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 -1 (PI.f64)) (log.f64 f))))
(+.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 0) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (neg.f64 (/.f64 (log.f64 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))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (/.f64 -1 (PI.f64)) (log.f64 f) (/.f64 (.f64 1 (log.f64 f)) (PI.f64))) (fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64))) (.f64 (/.f64 -1 (PI.f64)) (log.f64 f))))
(+.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) 0) (-.f64 (.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 (/.f64 -1 (PI.f64)) (log.f64 f) (/.f64 (.f64 1 (log.f64 f)) (PI.f64))) (fma.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 -1 (PI.f64)) (log.f64 f))))
(+.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) 0) (-.f64 (.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 0 (.f64 f (.f64 f 1/12)))
(.f64 f (.f64 f 1/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))))
(.f64 f (.f64 f 1/12))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 f 1/12)))) 1)
(.f64 f (.f64 f 1/12))
(pow.f64 (.f64 f (.f64 f 1/12)) 1)
(.f64 f (.f64 f 1/12))
(pow.f64 (cbrt.f64 (.f64 f (.f64 f 1/12))) 3)
(.f64 f (.f64 f 1/12))
(pow.f64 (pow.f64 (.f64 f (.f64 f 1/12)) 3) 1/3)
(.f64 f (.f64 f 1/12))
(pow.f64 (*.f64 f (sqrt.f64 1/12)) 2)
(.f64 f (.f64 f 1/12))
(sqrt.f64 (*.f64 (pow.f64 f 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) f) 1/12))
(.f64 f (.f64 f 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 f 1/12)))))
(.f64 f (.f64 f 1/12))
(cbrt.f64 (pow.f64 (.f64 f (.f64 f 1/12)) 3))
(.f64 f (.f64 f 1/12))
(expm1.f64 (log1p.f64 (.f64 f (.f64 f 1/12))))
(.f64 f (.f64 f 1/12))
(exp.f64 (log.f64 (.f64 f (.f64 f 1/12))))
(.f64 f (.f64 f 1/12))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 f 1/12))) 1))
(.f64 f (.f64 f 1/12))
(log1p.f64 (expm1.f64 (.f64 f (.f64 f 1/12))))
(.f64 f (.f64 f 1/12))

localize12.0ms (0.1%)

Compiler: Compiled 27 to 23 computations (14.8% saved)

localize29.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 4 (*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
✓	99.5%	(/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
✓	99.5%	(/.f64 (/.f64 4 f) (PI.f64))
✓	99.5%	(*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))

Compiler

Compiled 62 to 45 computations (27.4% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`log-prod`
846×	`pow-prod-down`
678×	`pow-prod-up`
610×	`pow-exp`
520×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	296	100
2	3824	100

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 4 (*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))

Outputs
(+.f64 0 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) 1)
(/.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
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(/.f64 (/.f64 (PI.f64) 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (.f64 (PI.f64) -1) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
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(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
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(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 1 f) (cbrt.f64 (PI.f64))))
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(neg.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))
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(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3)))
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(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) -1))
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(+.f64 0 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 1)
(.f64 1 (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1)
(.f64 (/.f64 -1 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2)) (/.f64 -1 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/2) (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1/2))
(.f64 -1 (/.f64 1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)) (/.f64 -1 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
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(pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) -1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -2)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -2))
(log.f64 (exp.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
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(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(exp.f64 (neg.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
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(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1) 1))
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(exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/2)) 2))
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(+.f64 0 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))) (cbrt.f64 (exp.f64 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))) 1)
(.f64 1 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))
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(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 1) 1))
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(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (.f64 -4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) -1))
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simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1172×	`fma-def`
1056×	`times-frac`
960×	`unswap-sqr`
884×	`distribute-lft-in`
832×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	6194
1	828	5872
2	2433	5566

Stop Event

1×	node limit

Counts

198 → 220

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(*.f64 f (PI.f64))
	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
✓	98.3%	(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`log-prod`
784×	`pow-prod-down`
642×	`pow-prod-up`
548×	`pow-exp`
480×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	274	52
2	3289	52

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1936×	`fma-def`
724×	`unswap-sqr`
656×	`div-sub`
478×	`log-prod`
440×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	5105
1	727	4667
2	2431	4625

Stop Event

1×	node limit

Counts

135 → 152

Calls

Call 1

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

localize36.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2))
✓	99.5%	(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
	99.5%	(/.f64 (/.f64 4 f) (PI.f64))
✓	99.2%	(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)

Compiler

Compiled 74 to 53 computations (28.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)
1.0ms	f	@	inf	(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)
1.0ms	f	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)
0.0ms	f	@	-inf	(/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2))
0.0ms	f	@	0	(/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`log-prod`
834×	`pow-prod-down`
684×	`pow-prod-up`
622×	`pow-exp`
520×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	323	87
2	3903	87

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)

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

(/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2))

Outputs
(+.f64 0 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1)
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1)
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/4))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
(.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3/4) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 5/6) (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(/.f64 1 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 (/.f64 (PI.f64) 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) 1/2) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (pow.f64 (.f64 (PI.f64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 1/2) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))
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(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
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(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 1/3))
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(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(+.f64 0 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
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(.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
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(.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/4))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
(.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3/4) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 5/6) (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) 6)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2) 2/3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1/4) 4)
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1) -1)
(neg.f64 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
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(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
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(+.f64 0 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 1)
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(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 4)
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simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1394×	`times-frac`
1152×	`fma-def`
1112×	`unswap-sqr`
888×	`distribute-lft-in`
550×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	4294974085
1	561	5899
2	1971	5887

Stop Event

1×	node limit

Counts

175 → 133

Calls

Call 1

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

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

eval498.0ms (2.5%)

Compiler: Compiled 31652 to 19292 computations (39% saved)

prune238.0ms (1.2%)

Pruning

40 alts after pruning (28 fresh and 12 done)

	Pruned	Kept	Total
New	1151	9	1160
Fresh	7	19	26
Picked	0	1	1
Done	1	11	12
Total	1159	40	1199

Accurracy

100.0%

Counts

1199 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.6%	(/.f64 -2 (PI.f64))
✓	2.2%	(.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)))
	1.9%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
	97.6%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
	97.3%	(neg.f64 (fma.f64 4 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
✓	96.7%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2))
	97.3%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
✓	96.7%	(neg.f64 (/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)))
	97.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	1.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1))))))
✓	97.1%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	97.2%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
	96.7%	(neg.f64 (/.f64 4 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/2) 2) (PI.f64))))
	96.8%	(neg.f64 (/.f64 4 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -2) (PI.f64))))
✓	97.1%	(neg.f64 (/.f64 4 (*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))))
	96.0%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))))
	96.6%	(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
	96.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
	95.8%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
✓	97.2%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	97.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
	97.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
	28.8%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 1/3 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)))))
	1.6%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
	97.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
✓	95.9%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	97.6%	(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)))) (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))))))))
	97.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
	97.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 f (PI.f64)) 1/8)))))
	15.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
	15.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
	14.4%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
	14.3%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
✓	13.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
✓	4.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
	75.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
✓	96.0%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
	95.8%	(neg.f64 (exp.f64 (log.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))))
	96.8%	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) 3)))

Compiler

Compiled 651 to 547 computations (16% saved)

regimes102.0ms (0.5%)

Counts

62 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 1/3 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) 3)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (/.f64 4 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -2) (PI.f64))))
(neg.f64 (/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2))
(neg.f64 (/.f64 4 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/2) 2) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1))))))
(neg.f64 (+.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (log.f64 (pow.f64 (exp.f64 f) (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 f f) 1/8))))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))) 2))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(neg.f64 (fma.f64 4 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (.f64 f f) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(neg.f64 (+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (.f64 (/.f64 4 (PI.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))))
(.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 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(neg.f64 (/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (fma.f64 (log.f64 f) (log.f64 (/.f64 (.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))

Outputs

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

Calls

6 calls:

26.0ms	f
26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(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))))))))
6.0ms	(.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
97.6%	1	`f`
97.6%	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))))))))`
97.6%	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)))))))`
97.6%	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))))))`
97.6%	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)))))`
97.6%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1191 to 866 computations (27.3% saved)

regimes104.0ms (0.5%)

Counts

61 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 1/3 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) 3)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (/.f64 4 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -2) (PI.f64))))
(neg.f64 (/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2))
(neg.f64 (/.f64 4 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/2) 2) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1))))))
(neg.f64 (+.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (log.f64 (pow.f64 (exp.f64 f) (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 f f) 1/8))))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))) 2))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (-.f64 (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/48) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))
(neg.f64 (fma.f64 4 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (fma.f64 (.f64 f f) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))))
(neg.f64 (+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (*.f64 (PI.f64) 1/2) f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (.f64 (/.f64 4 (PI.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))))
(.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 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(neg.f64 (/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (fma.f64 (log.f64 f) (log.f64 (/.f64 (.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 -1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))

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

Calls

6 calls:

31.0ms	f
27.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Accuracy	Segments	Branch
97.6%	1	`f`
97.6%	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))))))))`
97.6%	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)))))))`
97.6%	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))))))`
97.6%	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)))))`
97.6%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1145 to 831 computations (27.4% saved)

regimes31.0ms (0.2%)

Counts

41 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (*.f64 (/.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 1/3 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 f (PI.f64)) 1/8)))))
(neg.f64 (exp.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) 3)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)))
(neg.f64 (/.f64 4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))))
(neg.f64 (/.f64 4 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -2) (PI.f64))))
(neg.f64 (/.f64 4 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 2)))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))) 2))
(neg.f64 (/.f64 4 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/2) 2) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1))))))
(neg.f64 (+.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`f`

Compiler

Compiled 519 to 385 computations (25.8% saved)

regimes9.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`f`

Compiler

Compiled 80 to 67 computations (16.3% saved)

regimes8.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))

Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
15.3%	1	`f`

Compiler

Compiled 58 to 51 computations (12.1% saved)

regimes6.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))

Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
15.0%	1	`f`

Compiler

Compiled 49 to 43 computations (12.2% saved)

regimes6.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))

Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
14.4%	1	`f`

Compiler

Compiled 40 to 35 computations (12.5% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))

Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
14.3%	1	`f`

Compiler

Compiled 31 to 27 computations (12.9% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
13.9%	1	`f`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes4.0ms (0%)

Accuracy

Total -6.7b remaining (-12.2%)

Threshold costs -6.7b (-12.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 0))

Outputs
(/.f64 -2 (PI.f64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
13.6%	1	`f`

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

132×	`neg-mul-1`
88×	`*-commutative`
84×	`unsub-neg`
80×	`distribute-rgt-neg-in`
78×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	428
1	145	428
2	221	404
3	261	404
4	362	404
5	496	404
6	501	404

Stop Event

1×	fuel
1×	saturated

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)))) (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))))))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(/.f64 -2 (PI.f64))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 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))))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 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)))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 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)))))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (fma.f64 (pow.f64 f 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)))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 1/12 (*.f64 f f)))))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (.f64 4 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (neg.f64 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 262144)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 262144)))
(*.f64 (log.f64 262144) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 4096)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 4096)))
(*.f64 (log.f64 4096) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 16)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 16)))
(*.f64 (log.f64 16) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 8)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 8)))
(*.f64 (log.f64 8) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))
(/.f64 (neg.f64 1) (/.f64 (PI.f64) 4))
(/.f64 -1 (/.f64 (PI.f64) 4))
(/.f64 -2 (PI.f64))

Compiler

Compiled 135 to 116 computations (14.1% saved)

soundness1.7s (8.4%)

Rules

1864×	`fma-neg`
1864×	`fma-neg`
1540×	`times-frac`
1540×	`times-frac`
1540×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	3510
1	432	3242
2	1683	2942
0	20	127
1	52	121
2	127	117
3	334	109
4	987	109
5	2558	109
6	6093	109
0	21	262
1	455	262
2	6119	262
0	613	13384
1	2069	13384
0	149	3510
1	432	3242
2	1683	2942
0	21	188
1	449	188
2	7362	188
0	188	3912
1	438	3746
2	1633	3650
3	7144	3650
0	21	188
1	449	188
2	7362	188
0	21	188
1	449	188
2	7362	188
0	21	188
1	449	188
2	7362	188
0	21	188
1	449	188
2	7362	188
0	149	3510
1	432	3242
2	1683	2942
0	544	9582
1	1267	8790
2	4919	8608
0	12	65
1	253	65
2	3338	65
0	230	2840
1	594	2724
2	2128	2644
0	338	10682
1	961	10610
2	4393	10610
0	544	9582
1	1267	8790
2	4919	8608

Stop Event

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

Compiler

Compiled 2039 to 1528 computations (25.1% saved)

end139.0ms (0.7%)

Compiler: Compiled 126 to 98 computations (22.2% saved)