Details

analyze328.0ms (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)

sample9.0s (44.9%)

Results

2.9s	4012×	body	1024	valid
2.5s	3939×	body	1024	invalid
1.0s	2020×	body	512	valid
958.0ms	2027×	body	512	invalid
774.0ms	517×	body	2048	valid
456.0ms	1707×	body	256	valid
306.0ms	987×	body	256	invalid
2.0ms	2×	body	2048	invalid
1.0ms	8×	body	256	unsamplable

Bogosity

preprocess60.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

738×	`fma-neg_binary64`
561×	`fma-def_binary64`
368×	`div-sub_binary64`
240×	`associate-/r*_binary64`
206×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	124	59
3	328	55
4	976	55
5	2575	55
6	6177	55
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 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-neg_binary64`
561×	`fma-def_binary64`
368×	`div-sub_binary64`
240×	`associate-/r*_binary64`
206×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	124	59
3	328	55
4	976	55
5	2575	55
6	6177	55

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

eval4.0ms (0%)

Compiler: Compiled 240 to 167 computations (30.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	2	8

Error

62.8b

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.9b	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
▶	62.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

62.9b

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

▶

62.8b

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

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
✓	0.2b	(*.f64 (PI.f64) f)
✓	0.7b	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
✓	4.0b	(-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))

Compiler

Compiled 147 to 82 computations (44.2% saved)

series137.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
49.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
21.0ms	f	@	-inf	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
3.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
2.0ms	f	@	0	(-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`log-prod_binary64`
381×	`prod-diff_binary64`
258×	`fma-def_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	121
1	306	121
2	4253	121

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) 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simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

80×	`*-commutative_binary64`
64×	`fma-udef_binary64`
60×	`+-commutative_binary64`
49×	`sqr-pow_binary64`
33×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	606	2866
1	2068	2866

Stop Event

1×

unsound

Counts

278 → 289

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
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(-.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1)) (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(-.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 2))) (log.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 3)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2)))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 1)
(.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 3) (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 3)) (fma.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (fma.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) 1))
(fma.f64 1 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))

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

localize89.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))
✓	0.2b	(pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))
✓	0.7b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))
✓	4.0b	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))

Compiler

Compiled 145 to 93 computations (35.9% saved)

series70.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
13.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))
7.0ms	f	@	-inf	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))
6.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))
6.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))))

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`log-prod_binary64`
665×	`prod-diff_binary64`
277×	`fma-def_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	126
1	333	126
2	4627	126

Stop Event

1×	node limit

Counts

4 → 290

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (neg.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 2)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 (PI.f64)) -1/4)) f)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 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simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

126×	`fma-udef_binary64`
109×	`+-commutative_binary64`
88×	`*-commutative_binary64`
53×	`sqr-pow_binary64`
33×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	748	6016
1	2492	6016

Stop Event

1×

unsound

Counts

338 → 386

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
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(.f64 (cbrt.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)))))) (pow.f64 (cbrt.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)))))) 2))
(.f64 (pow.f64 (cbrt.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)))))) 2) (cbrt.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 (sqrt.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)))))) (sqrt.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 2 (log.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)))))))
(.f64 3 (log.f64 (cbrt.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 -1 (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 1/3 (.f64 3 (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 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) 3) (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) 3)) (fma.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (fma.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 2) (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 2))))
(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))))) 1)
(pow.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) 1/3)
(pow.f64 (cbrt.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 (sqrt.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)))))) 2)
(neg.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))))))
(neg.f64 (log.f64 (/.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)))) 1)))
(sqrt.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))))) 2))
(cbrt.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))
(expm1.f64 (log1p.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)))))))
(log1p.f64 (-.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)))) 1))
(exp.f64 (log.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)))))))
(exp.f64 (.f64 (log.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)))))) 1))
(fma.f64 1 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (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 (*.f64 (PI.f64) -2)) 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 (.f64 (PI.f64) -2)) f) (/.f64 (.f64 1/4 (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 (.f64 (PI.f64) -2)) 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)))))))))
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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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(/.f64 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (*.f64 f -2))) -2)
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(/.f64 -2 (*.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)))))
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(sqrt.f64 -2)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))
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(.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))))) (/.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))))))
(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)
(.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))
(.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (.f64 -2 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 1 (neg.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
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(.f64 (/.f64 1 (-.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))))
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(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 2)) 1) (/.f64 (cbrt.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)))))
-2
(.f64 (/.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) 1) (/.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(*.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) 2)) (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
-2
(.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) 2)) (cbrt.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))))))
-2
(.f64 (/.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) 2)) (/.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(*.f64 (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))) (hypot.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -8))))
(.f64 (/.f64 1 (sqrt.f64 (-.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))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(*.f64 (/.f64 -2 (sqrt.f64 -2)) (/.f64 -2 (sqrt.f64 -2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(*.f64 (/.f64 -2 (sqrt.f64 -2)) (/.f64 -2 (sqrt.f64 -2)))
(.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 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 2) (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 2))) (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
-2
(.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 (pow.f64 (exp.f64 (PI.f64)) -1/4) (.f64 f 3)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (.f64 f 3)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 2) (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 2))))
-2
(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)))) 1)
-2
(pow.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)))) 3) 1/3)
-2
(pow.f64 (cbrt.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)
-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 (-.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)
(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)))) -1)
-2
(pow.f64 (exp.f64 1) (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))))))
-2
(pow.f64 (exp.f64 (pow.f64 (cbrt.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)))))) 2)) (cbrt.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)))))))
-2
(pow.f64 (exp.f64 (sqrt.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))))))) (sqrt.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)))))))
(pow.f64 (exp.f64 (sqrt.f64 -2)) (sqrt.f64 -2))
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (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 (exp.f64 f) (.f64 (PI.f64) -1/4))))))
-2
(sqrt.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)))) 2))
(sqrt.f64 -2)
(log.f64 (exp.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))))))
-2
(log.f64 (+.f64 1 (expm1.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)))))))
-2
(cbrt.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)))) 3))
-2
(cbrt.f64 (/.f64 (pow.f64 (+.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 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 3)))
-2
(expm1.f64 (log1p.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))))))
-2
(log1p.f64 (expm1.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))))))
-2
(exp.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))))))
-2
(+.f64 0 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
-2
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))
-2
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))
(*.f64 -2 (log.f64 (sqrt.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 (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 (cbrt.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)) 2)))
-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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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)))
(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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) 2) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) -2) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) f))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2))
(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 (PI.f64)) -1/4) (*.f64 f 3)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (*.f64 f -2)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
-2
(log1p.f64 (expm1.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))
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(exp.f64 (log.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)))))))
-2
(exp.f64 (.f64 (log.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)))))) 1))
-2
(fma.f64 1 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))
-2
(fma.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
-2
(fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (neg.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))
-2

eval885.0ms (4.4%)

Compiler: Compiled 38834 to 25016 computations (35.6% saved)

prune268.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	774	13	787
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	775	14	789

Error

1.3b

Counts

789 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
▶	1.7b	(.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))
▶	64.0b	(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
	45.1b	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (.f64 f -2)) -2))) (/.f64 -4 (PI.f64)))
▶	62.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
✓	62.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	62.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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 -4 (PI.f64)))
	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	1.8b	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	1.6b	(.f64 (log.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 -4 (PI.f64)))
▶	1.8b	(.f64 (log.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 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 1093 to 850 computations (22.2% saved)

localize398.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 -1/384 (pow.f64 (PI.f64) 3))
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.0b	(-.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))))
✓	2.0b	(log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))

Compiler

Compiled 1123 to 869 computations (22.6% saved)

series0.0ms (0%)

Counts: 4 → 0

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`add-sqr-sqrt_binary64`
271×	`pow1_binary64`
270×	`add-log-exp_binary64`
269×	`log1p-expm1-u_binary64`
269×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	605	55

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

Inputs
(log.f64 (/.f64 2 (-.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 (PI.f64) 3)
(*.f64 -1/384 (pow.f64 (PI.f64) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (/.f64 1 (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) 2))) (log.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))) (log.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (log.f64 (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2)) (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (.f64 (PI.f64) 1/2)) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2)))) (+.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 -2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 1 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 (neg.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 3 (log.f64 (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 1/384 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (cbrt.f64 1/384)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/56623104 (pow.f64 (pow.f64 (PI.f64) 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/147456 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/56623104 (pow.f64 (pow.f64 (PI.f64) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))) 1))))))

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

697×	`cancel-sign-sub-inv_binary64`
401×	`unswap-sqr_binary64`
391×	`fma-neg_binary64`
369×	`distribute-rgt-neg-in_binary64`
340×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	3417
1	721	2967
2	3262	2574

Stop Event

1×	node limit

Counts

114 → 173

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) 2))) (log.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4)))))
(+.f64 0 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))) (log.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))) 1)
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 0 (log.f64 (/.f64 (PI.f64) 4)))
(*.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 1)
(*.f64 1 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2)) (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (.f64 (PI.f64) 1/2)) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2))))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2)))) (+.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 1)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3) 1/3)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 2)
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) 1))
(exp.f64 (log.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 1))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 -2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 1 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 (neg.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/192)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (cbrt.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 6) 1/36864) (pow.f64 (.f64 (PI.f64) 1/2) 4))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) (.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))) 1))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))) 1)
(.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(.f64 (-.f64 (.f64 1/4096 (pow.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 3)) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 3)))))
(.f64 (+.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (/.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) (.f64 (PI.f64) 1/2))) (-.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (/.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) (*.f64 (PI.f64) 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 3))) (-.f64 (.f64 1/4096 (pow.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 3)) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))) 3))))
(/.f64 1 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2)))
(/.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(/.f64 (-.f64 (.f64 1/4096 (pow.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 3)) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3)) (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(/.f64 (neg.f64 (-.f64 (.f64 1/4096 (pow.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 3)) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2)) (neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(/.f64 (-.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(/.f64 (+.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(/.f64 (+.f64 (.f64 1/4096 (pow.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 3)) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3)) (+.f64 (.f64 1/256 (/.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 2) 1/4))) (-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 6) 1/36864) (pow.f64 (.f64 (PI.f64) 1/2) 4)) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3) (pow.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3)) (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (-.f64 (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 1)
(pow.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2))
(log.f64 (exp.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(exp.f64 (log.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))) 1))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 1/16 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 1 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))) 1)
(-.f64 0 (*.f64 1/384 (pow.f64 (PI.f64) 3)))
(pow.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(pow.f64 (*.f64 1/56623104 (pow.f64 (pow.f64 (PI.f64) 3) 3)) 1/3)
(neg.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 1/56623104 (pow.f64 (pow.f64 (PI.f64) 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(log1p.f64 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(exp.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))) 1))

Outputs
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) 2))) (log.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 2))) (neg.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) 4)))))
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (cbrt.f64 (/.f64 (PI.f64) 4))))
(+.f64 0 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))) (log.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))))
(.f64 2 (log.f64 (sqrt.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))) 1)
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 -2))
(-.f64 0 (log.f64 (/.f64 (PI.f64) 4)))
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
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(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (*.f64 1/8 (/.f64 (PI.f64) 1)))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 1/16 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (*.f64 1/8 (/.f64 (PI.f64) 1)))
(fma.f64 1 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (*.f64 1/8 (/.f64 (PI.f64) 1)))
(fma.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(+.f64 (.f64 1/8 (/.f64 (PI.f64) 1)) (.f64 3 (.f64 1/192 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (*.f64 1/8 (/.f64 (PI.f64) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(+.f64 (.f64 1/8 (/.f64 (PI.f64) 1)) (.f64 3 (.f64 1/192 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 1/16 (.f64 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 1/2))))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 1/16 (.f64 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 1/2))))))
(fma.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(+.f64 (.f64 1/8 (/.f64 (PI.f64) 1)) (.f64 3 (.f64 1/192 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (PI.f64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (PI.f64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(-.f64 0 (*.f64 1/384 (pow.f64 (PI.f64) 3)))
(*.f64 -1/384 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(pow.f64 (*.f64 1/56623104 (pow.f64 (pow.f64 (PI.f64) 3) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/56623104))
(neg.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))
(*.f64 -1/384 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/147456))
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))))
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(log.f64 (/.f64 1 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3))))
(*.f64 -1/384 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(cbrt.f64 (*.f64 1/56623104 (pow.f64 (pow.f64 (PI.f64) 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/56623104))
(expm1.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(log1p.f64 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(exp.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 (pow.f64 (PI.f64) 3) 1/384)
(exp.f64 (.f64 (log.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))) 1))
(*.f64 (pow.f64 (PI.f64) 3) 1/384)

localize7.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.2b

(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))

✓

0.4b

(*.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))

2.0b

(log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))

Compiler

Compiled 83 to 61 computations (26.5% saved)

series47.0ms (0.2%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	f	@	0	(.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))
13.0ms	f	@	-inf	(.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))
7.0ms	f	@	inf	(.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	inf	(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
0.0ms	f	@	0	(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log-prod_binary64`
403×	`fma-def_binary64`
332×	`fma-neg_binary64`
284×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	401	33
2	5467	33

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

Inputs

(*.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))

(+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))

Outputs

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(log.f64 f)) (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (log.f64 f) 2))) (cbrt.f64 (log.f64 f)) (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))))))

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
398×	`div-sub_binary64`
369×	`unswap-sqr_binary64`
226×	`times-frac_binary64`
206×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3740
1	806	3130
2	3261	3066

Stop Event

1×	node limit

Counts

153 → 194

Calls

Call 1

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

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

localize92.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.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)))))))
✓	0.2b	(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
✓	0.3b	(/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
✓	0.4b	(.f64 (log.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 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 230 to 172 computations (25.2% saved)

series12.0ms (0.1%)

Counts

4 → 15

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	f	@	0	(.f64 (log.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 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	inf	(.f64 (log.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 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	-inf	(.f64 (log.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 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
1.0ms	f	@	0	(+.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)))))))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

366×	`log1p-udef_binary64`
244×	`add-sqr-sqrt_binary64`
234×	`*-un-lft-identity_binary64`
234×	`pow1_binary64`
229×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	102
1	503	94
2	7450	94

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

Outputs
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simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

195×	`associate-r_binary64`
178×	`associate-l_binary64`
117×	`associate-/r*_binary64`
105×	`*-commutative_binary64`
99×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	3360
1	1124	3360
2	4755	3360

Stop Event

1×

unsound

Counts

140 → 136

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
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(+.f64 (.f64 (/.f64 (PI.f64) -4) f) (.f64 (/.f64 (PI.f64) -4) f))
(+.f64 (.f64 f (/.f64 (PI.f64) -4)) (.f64 f (/.f64 (PI.f64) -4)))
(-.f64 0 (.f64 (PI.f64) (.f64 1/2 f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 f)))) 1)
(/.f64 (*.f64 (PI.f64) 0) (/.f64 1 f))
(/.f64 1 (/.f64 1 (.f64 (PI.f64) (.f64 1/2 f))))
(/.f64 f (/.f64 1 (*.f64 (PI.f64) 0)))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1)
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) -1)
(/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 f))) 2) (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 f)))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1/2 f))) (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) -1/2))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) -1/64) (.f64 (pow.f64 (PI.f64) 3) -1/64)) f) (+.f64 (pow.f64 (/.f64 (PI.f64) -4) 2) (pow.f64 (.f64 (PI.f64) 0) 2)))
(/.f64 (.f64 (pow.f64 (.f64 (PI.f64) 0) 2) f) (*.f64 (PI.f64) 0))
(/.f64 (.f64 f (-.f64 (.f64 (pow.f64 (PI.f64) 3) -1/64) (.f64 (pow.f64 (PI.f64) 3) -1/64))) (+.f64 (pow.f64 (/.f64 (PI.f64) -4) 2) (pow.f64 (.f64 (PI.f64) 0) 2)))
(/.f64 (.f64 f (pow.f64 (.f64 (PI.f64) 0) 2)) (*.f64 (PI.f64) 0))
(pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 f))) 3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1/2 f))) 2)
(neg.f64 (.f64 (PI.f64) (.f64 1/2 f)))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2))
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 0)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 f)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 0))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 0) 3) (pow.f64 f 3)))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 0) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(.f64 1 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))
(.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 1)
(.f64 (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 2) (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(.f64 (sqrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (sqrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2)) (/.f64 1 (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 3)) (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2)) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2))) (neg.f64 (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(/.f64 (+.f64 (.f64 (/.f64 (PI.f64) -4) (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) -2) 4) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))) (.f64 (.f64 (PI.f64) 0) (+.f64 (/.f64 8 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 3)) (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3)))) (.f64 (.f64 (PI.f64) 0) (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) -2) 4) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))))
(/.f64 (+.f64 (.f64 (/.f64 (PI.f64) -4) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (.f64 (.f64 (PI.f64) 0) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2))) (.f64 (.f64 (PI.f64) 0) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 8 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 3)) (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3)) (.f64 (PI.f64) 0)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) -2) 4) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (/.f64 (PI.f64) -4))) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) -2) 4) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (.f64 (PI.f64) 0)))
(/.f64 (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (.f64 (PI.f64) 0)) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (/.f64 (PI.f64) -4))) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (.f64 (PI.f64) 0)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))
(pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 0)) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))
(fma.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 0)) -1/4 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))
(fma.f64 1 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))
(fma.f64 1 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (cbrt.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2)) (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))
(fma.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (sqrt.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (sqrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))

Outputs
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 8 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 3)) (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3)) (.f64 (PI.f64) 0)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) -2) 4) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (/.f64 (PI.f64) -4))) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) -2) 4) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (.f64 (PI.f64) 0)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (.f64 (PI.f64) 0)) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (/.f64 (PI.f64) -4))) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (.f64 (PI.f64) 0)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 1)
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 3) 1/3)
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 3)
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 2)
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 1 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2)) (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (sqrt.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (sqrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))
✓	0.2b	(*.f64 f (PI.f64))
✓	0.7b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))
	4.0b	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)))

Compiler

Compiled 160 to 100 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`prod-diff_binary64`
309×	`fma-def_binary64`
286×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`
198×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	399	51
2	5697	51

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs

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

(*.f64 f (PI.f64))

Outputs

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(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)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.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 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.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))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))))))

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

756×	`times-frac_binary64`
455×	`distribute-rgt-in_binary64`
435×	`distribute-lft-in_binary64`
413×	`fma-def_binary64`
214×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	682
1	541	682
2	2235	682

Stop Event

1×	node limit

Counts

62 → 57

Calls

Call 1

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

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

eval972.0ms (4.9%)

Compiler: Compiled 55679 to 40933 computations (26.5% saved)

prune293.0ms (1.5%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	840	26	866
Fresh	5	3	8
Picked	0	1	1
Done	3	2	5
Total	848	32	880

Error

1.0b

Counts

880 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(pow.f64 (cbrt.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64)))) 3)
▶	1.9b	(/.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4) (PI.f64))
	1.9b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4)))
	2.3b	(*.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2))) (cbrt.f64 (log.f64 f)) (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 -4 (PI.f64)))
	42.6b	(*.f64 (hypot.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	2.0b	(.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (log.f64 (.f64 f (/.f64 4 (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
	2.2b	(.f64 (-.f64 (.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (cbrt.f64 (pow.f64 (log.f64 f) 2))) (log.f64 (/.f64 (PI.f64) 4))) (/.f64 -4 (PI.f64)))
	1.7b	(*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	1.5b	(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
✓	64.0b	(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
	47.1b	(.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 3) 1/3)) (/.f64 -4 (PI.f64)))
	2.9b	(.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
	2.2b	(.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
	1.9b	(.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 3)) (/.f64 -4 (PI.f64)))
	1.8b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	63.1b	(.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (+.f64 1 (-.f64 f 1)))) (/.f64 -4 (PI.f64)))
	35.5b	(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64)))
✓	62.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
	63.6b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) 1))) (/.f64 -4 (PI.f64)))
▶	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (.f64 f -2)) -2))) (/.f64 -4 (PI.f64)))
✓	62.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
▶	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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 -4 (PI.f64)))
	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	35.5b	(.f64 (log.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))) (/.f64 -4 (PI.f64)))
	1.8b	(.f64 (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (exp.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f)))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
	47.2b	(.f64 (log.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (log.f64 (.f64 f (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
▶	1.7b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	63.2b	(log1p.f64 (-.f64 (pow.f64 (.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))) 1))
	15.4b	(log.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (/.f64 -4 (PI.f64))))
	2.2b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64))) 3))

Compiler

Compiled 2047 to 1540 computations (24.8% saved)

localize410.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 -1/384 (pow.f64 (PI.f64) 3))
	1.0b	(pow.f64 (PI.f64) 3)
	1.0b	(-.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))))
✓	1.6b	(log.f64 (/.f64 (PI.f64) 4))

Compiler

Compiled 1102 to 852 computations (22.7% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite35.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`pow1_binary64`
461×	`add-sqr-sqrt_binary64`
449×	`*-un-lft-identity_binary64`
444×	`add-log-exp_binary64`
444×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	107	7
2	1214	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (PI.f64)) (log.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)) (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (PI.f64)) (log.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 (PI.f64) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (PI.f64) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/4))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/4))) 2) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/4))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) 3) (pow.f64 (log.f64 4) 3)) (+.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (+.f64 (*.f64 (log.f64 4) (log.f64 4)) (*.f64 (log.f64 (PI.f64)) (log.f64 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 4) (log.f64 4))) (+.f64 (log.f64 (PI.f64)) (log.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 (PI.f64) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (PI.f64) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) 1/4))))))))

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

489×	`log-prod_binary64`
324×	`fma-neg_binary64`
283×	`associate-l_binary64`
265×	`*-commutative_binary64`
252×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	252
1	163	241
2	534	240
3	3059	240
4	4848	240
5	7587	240

Stop Event

1×	node limit

Counts

26 → 35

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
✓	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)

Compiler

Compiled 37 to 25 computations (32.4% saved)

series99.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
37.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
6.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
1.0ms	f	@	inf	(/.f64 (/.f64 4 (PI.f64)) f)
1.0ms	f	@	0	(/.f64 (/.f64 4 (PI.f64)) f)

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`pow1_binary64`
906×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	177	22
2	2402	22

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))))

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-/l*_binary64`
496×	`associate-*l/_binary64`
443×	`times-frac_binary64`
390×	`associate-*r/_binary64`
332×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1416
1	496	1240
2	1580	1231

Stop Event

1×	node limit

Counts

97 → 102

Calls

Call 1

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

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

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))
✓	0.2b	(.f64 (PI.f64) (.f64 1/2 f))
✓	0.3b	(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
✓	0.3b	(/.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4) (PI.f64))

Compiler

Compiled 125 to 75 computations (40% saved)

series8.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	-inf	(/.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4) (PI.f64))
2.0ms	f	@	inf	(/.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4) (PI.f64))
1.0ms	f	@	0	(/.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4) (PI.f64))
0.0ms	f	@	inf	(log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))
0.0ms	f	@	0	(.f64 (PI.f64) (.f64 1/2 f))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`log-prod_binary64`
366×	`pow2_binary64`
256×	`pow1/3_binary64`
256×	`log1p-udef_binary64`
254×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	399	52
2	3967	52

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (/.f64 1 (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (.f64 -4 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 16 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2))) (.f64 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))) 2)) (cbrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))) (sqrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 4) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 1) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2))) 1) (/.f64 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) 1) (/.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 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3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (-.f64 1 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (+.f64 1 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) -1) (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 1))))))

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

572×	`log-prod_binary64`
462×	`fma-neg_binary64`
325×	`cube-prod_binary64`
318×	`associate-r_binary64`
300×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	3899
1	1022	3391
2	4989	3358

Stop Event

1×	node limit

Counts

191 → 264

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -1 f) (.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 -1 f) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64)))))
(+.f64 (.f64 -1 f) (+.f64 (.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 -1/48 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 2))))))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(-.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))))
(-.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 256 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(-.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))))
(-.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 256 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 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 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (.f64 1/4 (.f64 f (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 1/4 (.f64 f (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/4 (.f64 f (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(/.f64 4 (*.f64 f (PI.f64)))
(-.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (.f64 64/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) (.f64 8 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (.f64 64/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) (+.f64 (.f64 64 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(/.f64 4 (*.f64 f (PI.f64)))
(-.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (.f64 64/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) (.f64 8 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (.f64 64/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) (+.f64 (.f64 64 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(+.f64 0 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))))) 1)
(.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (/.f64 1 (*.f64 (PI.f64) -1/4)))
(.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (*.f64 -4 (/.f64 1 (PI.f64))))
(.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))
(.f64 -4 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) (/.f64 1 (PI.f64))))
(.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) -4) (/.f64 1 (PI.f64)))
(.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) (PI.f64))) 1)
(.f64 1 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) (PI.f64))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2))) (.f64 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) (PI.f64))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))) 2)) (cbrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))) (sqrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) (PI.f64)))))
(.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 4) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (PI.f64)) (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) -4))
(.f64 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 1) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)) -4)
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2))) 1) (/.f64 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) -4)) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) 1) (/.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) -4)) (PI.f64)))
(.f64 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 -4 (cbrt.f64 (PI.f64))))
(.f64 (/.f64 -4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) -4) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) -4)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 -4 (sqrt.f64 (PI.f64))) (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) -4) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) -4)) (sqrt.f64 (PI.f64))))
(pow.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))) 1)
(pow.f64 (pow.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))) 2)
(pow.f64 (.f64 -1/4 (/.f64 (PI.f64) (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4) 3) (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (/.f64 (.f64 -1/4 (/.f64 (PI.f64) (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) 1) -1)
(neg.f64 (/.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))) 2))
(log.f64 (exp.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) -4) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))
(exp.f64 (log.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 -4 (/.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) (PI.f64)))) 1))
(+.f64 0 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))))
(-.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 1) 1)
(.f64 2 (/.f64 1 (.f64 (PI.f64) (*.f64 1/2 f))))
(.f64 2 (.f64 (/.f64 1 (.f64 (PI.f64) (.f64 1/2 f))) 1))
(.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 1)
(.f64 1 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))
(.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2) (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 1))
(.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))
(.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) (.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 1))
(.f64 -2 (/.f64 1 (.f64 (*.f64 1/2 f) (neg.f64 (PI.f64)))))
(.f64 (/.f64 1 (.f64 (PI.f64) (*.f64 1/2 f))) 2)
(.f64 (/.f64 2 (PI.f64)) (/.f64 1 (.f64 1/2 f)))
(pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 2)
(pow.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 1/2 f) (/.f64 2 (PI.f64))) -1)
(pow.f64 (/.f64 (/.f64 (*.f64 1/2 f) (/.f64 2 (PI.f64))) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))
(exp.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 1))
(fma.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 1) 1 -1)
(fma.f64 1 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 1) -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 1)) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (hypot.f64 1 (sqrt.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (-.f64 1 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) -1) (/.f64 1 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) -1)) -1)
(+.f64 0 (.f64 (PI.f64) (.f64 1/2 f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 f)))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 f))) 3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1/2 f))) 2)
(pow.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 1/2 f) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)) 1/3)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 f)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 1/2 f) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/2 f))) 1))
(+.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 0)
(+.f64 0 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))
(+.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 3)) (log.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (-.f64 1 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))))
(+.f64 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (.f64 2 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) -1)) (log.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) -1))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(+.f64 (.f64 1/2 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (.f64 1/2 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (-.f64 1 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (+.f64 1 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) -1) (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) -1))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 3)) (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (-.f64 1 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) -1)) (log.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) -1)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 3)))) (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (-.f64 1 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) -1))) (log.f64 (neg.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) -1))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 3) 1/8)) (log.f64 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2) (-.f64 1/4 (.f64 (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 1/2)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2))) (log1p.f64 (neg.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2) 1/4)) (log.f64 (-.f64 (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 1/2)))
(.f64 2 (.f64 1/2 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 1)
(.f64 1 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(.f64 3 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(.f64 1/3 (.f64 3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (-.f64 1 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (+.f64 1 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) -1) (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) -1))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 1))

Outputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(+.f64 (.f64 -1 f) (.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -1 f (*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(-.f64 (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) f)
(-.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) f)
(+.f64 (.f64 -1 f) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 1/8 (*.f64 (pow.f64 f 2) (PI.f64)))))
(fma.f64 -1 f (fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (.f64 1/8 (.f64 (PI.f64) (*.f64 f f)))))
(-.f64 (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (.f64 f f) (*.f64 (PI.f64) 1/8))) f)
(-.f64 (fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 (.f64 f f) (*.f64 (PI.f64) 1/8))) f)
(+.f64 (.f64 -1 f) (+.f64 (.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 -1/48 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1 f (fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (fma.f64 1/8 (.f64 (PI.f64) (.f64 f f)) (.f64 -1/48 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 2))))))
(-.f64 (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 -1/48 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 2)) (.f64 (.f64 f f) (.f64 (PI.f64) 1/8)))) f)
(-.f64 (fma.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (fma.f64 -1/48 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 2)) (.f64 (.f64 f f) (.f64 (PI.f64) 1/8)))) f)
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))
(-.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))))
(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 16 (*.f64 f (pow.f64 (PI.f64) 2))))
(+.f64 (/.f64 32 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))) (/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2))))
(-.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (+.f64 (/.f64 16 (.f64 f (pow.f64 (PI.f64) 2))) (/.f64 256/3 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4)))))
(-.f64 (+.f64 (/.f64 32 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))) (/.f64 -16 (.f64 f (pow.f64 (PI.f64) 2)))) (/.f64 256/3 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 256 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(+.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (/.f64 256 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (+.f64 (/.f64 16 (.f64 f (pow.f64 (PI.f64) 2))) (/.f64 256/3 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(-.f64 (-.f64 (+.f64 (/.f64 32 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))) (/.f64 (/.f64 256 (pow.f64 (PI.f64) 5)) (pow.f64 f 4))) (/.f64 256/3 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4)))) (/.f64 (/.f64 16 f) (pow.f64 (PI.f64) 2)))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))
(-.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))))
(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 16 (*.f64 f (pow.f64 (PI.f64) 2))))
(+.f64 (/.f64 32 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))) (/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2))))
(-.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (+.f64 (/.f64 16 (.f64 f (pow.f64 (PI.f64) 2))) (/.f64 256/3 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4)))))
(-.f64 (+.f64 (/.f64 32 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))) (/.f64 -16 (.f64 f (pow.f64 (PI.f64) 2)))) (/.f64 256/3 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 256 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 16 (/.f64 1 (.f64 f (pow.f64 (PI.f64) 2)))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(+.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (/.f64 256 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (+.f64 (/.f64 16 (.f64 f (pow.f64 (PI.f64) 2))) (/.f64 256/3 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4))))))
(-.f64 (-.f64 (+.f64 (/.f64 32 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))) (/.f64 (/.f64 256 (pow.f64 (PI.f64) 5)) (pow.f64 f 4))) (/.f64 256/3 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 4)))) (/.f64 (/.f64 16 f) (pow.f64 (PI.f64) 2)))
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(.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 3 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 1/3 (.f64 3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 1)
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 3) 1/3)
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))) 3)
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))) 2)
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) (-.f64 1 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) (+.f64 1 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)) 3)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)) 3)) (log.f64 (+.f64 (pow.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)) 2) (-.f64 1 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)) (log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2) (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) -1) (+.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)) 2) -1))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)) 2))) (log.f64 (+.f64 -1 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2))) (log.f64 (+.f64 -1 (/.f64 (/.f64 4 (PI.f64)) f))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f))) 2))
(fabs.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 3))
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f)))))
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 1))
(log1p.f64 (*.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))
(log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
	0.2b	(*.f64 (PI.f64) f)
✓	0.7b	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) -2))
✓	1.0b	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) -2)))

Compiler

Compiled 137 to 81 computations (40.9% saved)

series48.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) -2)))
19.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) -2)))
2.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) -2)))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) -2))
0.0ms	f	@	-inf	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) -2))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`prod-diff_binary64`
287×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`
276×	`fma-def_binary64`
250×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	86
1	393	86
2	5289	86

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2)))

(/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 (PI.f64) f))) (cbrt.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (sqrt.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (*.f64 (PI.f64) f)) (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1/6) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/12) (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1/8) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/8) (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

809×	`times-frac_binary64`
558×	`unswap-sqr_binary64`
322×	`fma-neg_binary64`
271×	`log-prod_binary64`
224×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	6996
1	1023	6660
2	3799	2615

Stop Event

1×	node limit

Counts

145 → 194

Calls

Call 1

Inputs
(log.f64 -2)
(+.f64 (.f64 -1/2 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))))) (log.f64 -2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) 2)) (.f64 -1 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 -1/4 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) (PI.f64))))))))) (+.f64 (.f64 -1/2 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))))) (log.f64 -2)))
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(pow.f64 (/.f64 (hypot.f64 (pow.f64 (exp.f64 1/8) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/8) (.f64 (PI.f64) f))) (sqrt.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2)))))
(neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 2 (neg.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 3) (pow.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))
(exp.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))) 1)
(.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4))) 1)
(.f64 1 (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4))))
(.f64 (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 (PI.f64) f))) (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(.f64 (sqrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (sqrt.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
(.f64 (pow.f64 1 (.f64 (PI.f64) f)) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))
(.f64 (pow.f64 (exp.f64 1/6) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/12) (*.f64 (PI.f64) f)))
(.f64 (pow.f64 (exp.f64 1/8) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/8) (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 (PI.f64) f)))
(log.f64 (exp.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(cbrt.f64 (pow.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(log1p.f64 (expm1.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))
(exp.f64 (.f64 (.f64 (PI.f64) 1/4) f))

Outputs
(log.f64 -2)
(+.f64 (.f64 -1/2 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))))) (log.f64 -2))
(fma.f64 -1/2 (.f64 f (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (*.f64 -1/2 (PI.f64)))) (log.f64 -2))
(fma.f64 -1/2 (.f64 f (.f64 -1/2 (PI.f64))) (log.f64 -2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) 2)) (.f64 -1 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 -1/4 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) (PI.f64))))))))) (+.f64 (.f64 -1/2 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))))) (log.f64 -2)))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64))) 2) (neg.f64 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (fma.f64 1/16 (pow.f64 (PI.f64) 2) (.f64 -1/4 (.f64 (PI.f64) (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64)))))))))) (fma.f64 -1/2 (.f64 f (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64)))) (log.f64 -2)))
(fma.f64 1/2 (.f64 (.f64 f f) (-.f64 (.f64 -1/4 (pow.f64 (.f64 -1/2 (PI.f64)) 2)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) -1/8) (.f64 1/4 (.f64 (PI.f64) (.f64 -1/2 (PI.f64))))))) (fma.f64 -1/2 (.f64 f (.f64 -1/2 (PI.f64))) (log.f64 -2)))
(fma.f64 1/2 (.f64 f (.f64 f (-.f64 (.f64 -1/4 (pow.f64 (.f64 -1/2 (PI.f64)) 2)) (-.f64 (.f64 (pow.f64 (PI.f64) 2) -1/8) (.f64 (.f64 -1/4 (PI.f64)) (.f64 -1/2 (PI.f64))))))) (fma.f64 -1/2 (.f64 f (.f64 -1/2 (PI.f64))) (log.f64 -2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) 2)) (.f64 -1 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 -1/4 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) (PI.f64))))))))) (+.f64 (.f64 -1/2 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) 3)) (+.f64 (.f64 -3 (-.f64 (.f64 -1 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/32 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) (pow.f64 (PI.f64) 2))) (.f64 -1/4 (.f64 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 -1/4 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) (PI.f64))))) (PI.f64))))))) (.f64 -3/2 (.f64 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 -1/4 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))) (PI.f64))))) (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 1/2 (PI.f64))))))))) (log.f64 -2))))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64))) 2) (neg.f64 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (fma.f64 1/16 (pow.f64 (PI.f64) 2) (.f64 -1/4 (.f64 (PI.f64) (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64)))))))))) (fma.f64 -1/2 (.f64 f (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64)))) (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -1/4 (pow.f64 (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64))) 3) (fma.f64 -3 (-.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 0)) (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/32 (.f64 (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64))) (pow.f64 (PI.f64) 2)) (.f64 -1/4 (.f64 (PI.f64) (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (fma.f64 1/16 (pow.f64 (PI.f64) 2) (.f64 -1/4 (.f64 (PI.f64) (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64)))))))))))) (.f64 -3/2 (.f64 (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 -1/2 (PI.f64))) (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (fma.f64 1/16 (pow.f64 (PI.f64) 2) (.f64 -1/4 (.f64 (PI.f64) (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (*.f64 -1/2 (PI.f64)))))))))))) (log.f64 -2))))
(fma.f64 1/2 (.f64 (.f64 f f) (-.f64 (.f64 -1/4 (pow.f64 (.f64 -1/2 (PI.f64)) 2)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) -1/8) (.f64 1/4 (.f64 (PI.f64) (.f64 -1/2 (PI.f64))))))) (fma.f64 -1/2 (.f64 f (.f64 -1/2 (PI.f64))) (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -1/4 (pow.f64 (.f64 -1/2 (PI.f64)) 3) (fma.f64 -3 (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/192 (fma.f64 -1/32 (.f64 (.f64 -1/2 (PI.f64)) (pow.f64 (PI.f64) 2)) (.f64 (.f64 -1/4 (PI.f64)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) -1/8) (.f64 1/4 (.f64 (PI.f64) (.f64 -1/2 (PI.f64))))))))) (.f64 (.f64 -1/2 (PI.f64)) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) -1/8) (.f64 1/4 (.f64 (PI.f64) (*.f64 -1/2 (PI.f64))))) -3/2))))) (log.f64 -2))))
(fma.f64 1/2 (.f64 f (.f64 f (-.f64 (.f64 -1/4 (pow.f64 (.f64 -1/2 (PI.f64)) 2)) (-.f64 (.f64 (pow.f64 (PI.f64) 2) -1/8) (.f64 (.f64 -1/4 (PI.f64)) (.f64 -1/2 (PI.f64))))))) (fma.f64 -1/2 (.f64 f (.f64 -1/2 (PI.f64))) (fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/8) (fma.f64 -3 (-.f64 (.f64 -1/192 (pow.f64 (PI.f64) 3)) (fma.f64 -1/4 (.f64 (PI.f64) (-.f64 (.f64 (pow.f64 (PI.f64) 2) -1/8) (.f64 (.f64 -1/4 (PI.f64)) (.f64 -1/2 (PI.f64))))) (.f64 (.f64 -1/2 (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) -1/32)))) (.f64 (.f64 -1/2 (PI.f64)) (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) -1/8) (.f64 (.f64 -1/4 (PI.f64)) (.f64 -1/2 (PI.f64)))) -3/2))))) (log.f64 -2))))
(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)))) 2)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) 0)
(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)))) 2)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) 0)
(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)))) 2)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) 0)
(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)))) 2)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) 0)
(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)))) 2)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) 0)
(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)))) 2)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))) 0)
(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)))) 2)))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)))))
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(/.f64 (.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))
(/.f64 2 (/.f64 (+.f64 -2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))))
(.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 3) (pow.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2) 3)))
(/.f64 (.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))
(/.f64 2 (/.f64 (+.f64 -2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))))
(.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))
(/.f64 2 (/.f64 (+.f64 -2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))))
(.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))
(/.f64 2 (/.f64 (+.f64 -2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))))
(.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)))
(exp.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) -2))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (+.f64 -2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))
(/.f64 2 (/.f64 (+.f64 -2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))))
(.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))) 1)
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4))) 1)
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(.f64 1 (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(.f64 (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 f (PI.f64)))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (.f64 (PI.f64) f))) (cbrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 f (PI.f64)))))
(.f64 (sqrt.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (sqrt.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(.f64 (pow.f64 1 (.f64 (PI.f64) f)) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(.f64 (pow.f64 (exp.f64 1/6) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/12) (*.f64 (PI.f64) f)))
(.f64 (pow.f64 (exp.f64 1/6) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/12) (*.f64 f (PI.f64))))
(.f64 (pow.f64 (exp.f64 1/8) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/8) (*.f64 (PI.f64) f)))
(pow.f64 (exp.f64 1/8) (.f64 2 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/8) (.f64 (.f64 2 f) (PI.f64)))
(sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 f (PI.f64))))
(log.f64 (exp.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(cbrt.f64 (pow.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(log1p.f64 (expm1.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(exp.f64 (.f64 (.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 f (PI.f64))
✓	0.7b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2))
✓	1.0b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2)))
✓	1.0b	(exp.f64 (PI.f64))

Compiler

Compiled 165 to 109 computations (33.9% saved)

series46.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2)))
18.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2)))
4.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2)))
1.0ms	f	@	0	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2))
0.0ms	f	@	-inf	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`prod-diff_binary64`
393×	`expm1-udef_binary64`
393×	`log1p-udef_binary64`
226×	`add-sqr-sqrt_binary64`
220×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
1	460	86
2	5973	86

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

(exp.f64 (PI.f64))

(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2)))

(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (*.f64 f -2)) -2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (PI.f64))) (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2) (cbrt.f64 (exp.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (PI.f64))) (sqrt.f64 (exp.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (PI.f64))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (/.f64 1 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (log.f64 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1))))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1)))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (log.f64 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1)))) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1))))) 1 (*.f64 (log.f64 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (neg.f64 (*.f64 (log.f64 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1)))) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1))))) 1 (*.f64 (log.f64 (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 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simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

621×	`unswap-sqr_binary64`
346×	`associate-/l*_binary64`
200×	`sqr-pow_binary64`
170×	`exp-prod_binary64`
168×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	5271
1	882	4743
2	3159	4602

Stop Event

1×	node limit

Counts

116 → 157

Calls

Call 1

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

Outputs
(log.f64 -2)
(+.f64 (.f64 -1/2 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 -4 (log.f64 (pow.f64 (/.f64 1 (exp.f64 (PI.f64))) 1/8)))))) (log.f64 -2))
(fma.f64 -1/2 (.f64 f (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 4 (.f64 1/8 (log.f64 (exp.f64 (neg.f64 (PI.f64)))))))) (log.f64 -2))
(fma.f64 -1/2 (.f64 f (.f64 1/2 (neg.f64 (PI.f64)))) (log.f64 -2))
(+.f64 (.f64 -1/2 (.f64 f (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 -4 (log.f64 (pow.f64 (/.f64 1 (exp.f64 (PI.f64))) 1/8)))))) (+.f64 (log.f64 -2) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 -4 (log.f64 (pow.f64 (/.f64 1 (exp.f64 (PI.f64))) 1/8)))) (log.f64 (pow.f64 (/.f64 1 (exp.f64 (PI.f64))) 1/8)))) (.f64 4 (pow.f64 (log.f64 (pow.f64 (/.f64 1 (exp.f64 (PI.f64))) 1/8)) 2))))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (.f64 -4 (log.f64 (pow.f64 (/.f64 1 (exp.f64 (PI.f64))) 1/8)))) 2)))))))
(+.f64 (fma.f64 -1/2 (.f64 f (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 4 (.f64 1/8 (log.f64 (exp.f64 (neg.f64 (PI.f64)))))))) (log.f64 -2)) (.f64 (.f64 1/2 (.f64 f f)) (fma.f64 -1 (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (fma.f64 2 (.f64 (.f64 1/8 (log.f64 (exp.f64 (neg.f64 (PI.f64))))) (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 4 (.f64 1/8 (log.f64 (exp.f64 (neg.f64 (PI.f64)))))))) (.f64 4 (pow.f64 (.f64 1/8 (log.f64 (exp.f64 (neg.f64 (PI.f64))))) 2)))) (.f64 -1/4 (pow.f64 (+.f64 (neg.f64 (.f64 (PI.f64) 0)) (.f64 4 (*.f64 1/8 (log.f64 (exp.f64 (neg.f64 (PI.f64))))))) 2)))))
(fma.f64 -1/2 (.f64 f (.f64 1/2 (neg.f64 (PI.f64)))) (fma.f64 1/2 (.f64 (.f64 f f) (-.f64 (.f64 -1/4 (pow.f64 (.f64 1/2 (neg.f64 (PI.f64))) 2)) (-.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (fma.f64 2 (.f64 4 (pow.f64 (.f64 1/8 (neg.f64 (PI.f64))) 2)) (.f64 4 (pow.f64 (*.f64 1/8 (neg.f64 (PI.f64))) 2)))))) (log.f64 -2)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (.f64 -1 f))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (/.f64 f -1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 -2 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) (.f64 -1 f))))

eval1.1s (5.4%)

Compiler: Compiled 55118 to 41105 computations (25.4% saved)

prune290.0ms (1.5%)

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	972	28	1000
Fresh	19	5	24
Picked	0	1	1
Done	2	5	7
Total	993	39	1032

Error

0.3b

Counts

1032 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	60.7b	(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))
	2.1b	(/.f64 (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 2) -4) (PI.f64))
	2.0b	(/.f64 (.f64 (/.f64 -4 (sqrt.f64 (PI.f64))) (log1p.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))) (sqrt.f64 (PI.f64)))
	63.6b	(/.f64 (.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 8 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))) -4) (PI.f64))
▶	1.7b	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
	2.0b	(/.f64 (.f64 (.f64 3 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
	2.0b	(/.f64 (.f64 (.f64 1/3 (.f64 3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
	1.9b	(/.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
	2.7b	(/.f64 (.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
	60.7b	(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
	63.6b	(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 16 (*.f64 f (pow.f64 (PI.f64) 2))))
✓	1.5b	(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
	1.8b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	63.1b	(.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (+.f64 1 (-.f64 f 1)))) (/.f64 -4 (PI.f64)))
✓	62.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
	63.6b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) 1))) (/.f64 -4 (PI.f64)))
✓	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (.f64 f -2)) -2))) (/.f64 -4 (PI.f64)))
	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (+.f64 -2 (pow.f64 (exp.f64 -2) (.f64 f (*.f64 1/8 (neg.f64 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
✓	62.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
	64.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/8) (.f64 (.f64 2 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
▶	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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 -4 (PI.f64)))
	64.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) -2))) (/.f64 -4 (PI.f64)))
	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
▶	15.4b	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
▶	61.3b	(*.f64 0 (/.f64 -4 (PI.f64)))
	2.6b	(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3) 1/3))
	1.8b	(.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1))
	2.0b	(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
	2.7b	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3))
	2.3b	(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
	3.0b	(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
✓	1.7b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
▶	1.7b	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	1.8b	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
	2.5b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
	2.6b	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
	1.9b	(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3)))

Compiler

Compiled 1447 to 1155 computations (20.2% saved)

localize101.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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))))))
✓	1.0b	(*.f64 1/384 (pow.f64 (PI.f64) 3))
	1.0b	(pow.f64 (PI.f64) 3)
	1.0b	(*.f64 -1/384 (pow.f64 (PI.f64) 3))

Compiler

Compiled 263 to 182 computations (30.8% saved)

series6.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

300×	`add-sqr-sqrt_binary64`
289×	`pow1_binary64`
287×	`*-un-lft-identity_binary64`
286×	`add-log-exp_binary64`
284×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	54
1	633	53

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs

(*.f64 1/384 (pow.f64 (PI.f64) 3))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/56623104) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/147456))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/384))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/56623104))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (/.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (/.f64 1 (fma.f64 f (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (pow.f64 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simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
489×	`distribute-rgt-in_binary64`
374×	`unswap-sqr_binary64`
209×	`cancel-sign-sub-inv_binary64`
202×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	2836
1	774	2728
2	3077	2486

Stop Event

1×	node limit

Counts

62 → 98

Calls

Call 1

Inputs
(/.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 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
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(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 3) (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (.f64 (PI.f64) (cbrt.f64 1/192))) 3)))) 1))

Outputs
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 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 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 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 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (-.f64 (.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (*.f64 1/4 (pow.f64 (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)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (-.f64 (.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))
(/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (pow.f64 f 5) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 2)))) (+.f64 (/.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (/.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))
(fma.f64 -1 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (pow.f64 f 5)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 2))) (+.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))) (.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 f 5) 1/2)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (.f64 (pow.f64 (PI.f64) 6) 1/36864))))
(fma.f64 (/.f64 -1/2 (/.f64 (pow.f64 f 5) (PI.f64))) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (.f64 (pow.f64 (PI.f64) 6) 1/36864)) (+.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (pow.f64 f 5) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 2)))) (+.f64 (/.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (/.f64 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (pow.f64 f 7) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) 3))))))
(fma.f64 -1 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (pow.f64 f 5)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 2))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))) (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 f 7)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))) (fma.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 f 7)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/7077888)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))) (.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 f 5) 1/2)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (.f64 (pow.f64 (PI.f64) 6) 1/36864))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))) (.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (-.f64 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/7077888))) (/.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 6) 1/36864))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (pow.f64 f 5) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (pow.f64 f 9) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 4)))) (+.f64 (/.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (/.f64 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (.f64 (pow.f64 f 7) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 3)))))))
(fma.f64 -1 (.f64 (/.f64 (.f64 (PI.f64) 1/2) (pow.f64 f 5)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 2))) (fma.f64 -1 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 9)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 4))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))) (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 f 7)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))))))
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(.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 3) (pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) (cbrt.f64 1/192))) 3) 3))) (+.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 2) (.f64 (pow.f64 (.f64 f (.f64 (PI.f64) (cbrt.f64 1/192))) 3) (-.f64 (pow.f64 (.f64 f (.f64 (PI.f64) (cbrt.f64 1/192))) 3) (.f64 (.f64 (PI.f64) 1/2) f)))))
(.f64 (/.f64 2 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/8) (pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (fma.f64 (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3) (+.f64 (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3) (.f64 (.f64 (PI.f64) f) -1/2)) (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)))
(.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) 1/8 (pow.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (fma.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (fma.f64 f (.f64 (PI.f64) -1/2) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))) (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 2) (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 6) 1/36864)))) (-.f64 (.f64 f (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 (.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (.f64 (.f64 (PI.f64) 1/2) f) (pow.f64 (.f64 f (.f64 (PI.f64) (cbrt.f64 1/192))) 3))) (-.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) f) 2) (.f64 (pow.f64 f 6) (*.f64 (pow.f64 (PI.f64) 6) 1/36864))))
(.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2) (.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 f 6)) -1/36864))) (-.f64 (.f64 (PI.f64) (.f64 1/2 f)) (pow.f64 (.f64 (PI.f64) (*.f64 (cbrt.f64 1/192) f)) 3)))
(.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 6) -1/36864) (pow.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2))) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 (pow.f64 (*.f64 (PI.f64) f) 3) -1/192)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))) 1)
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))) 3) 1/3)
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))) 3)
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))) 2)
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(pow.f64 (/.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (.f64 (PI.f64) (cbrt.f64 1/192))) 3)) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) -1)
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (neg.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))) 2))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3))) 3))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 3) (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)) 3)))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (.f64 (PI.f64) (cbrt.f64 1/192))) 3)))) 1))
(/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 f (.f64 (PI.f64) 1/2) (pow.f64 (.f64 f (*.f64 (PI.f64) (cbrt.f64 1/192))) 3)))
(/.f64 2 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (pow.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/192) f)) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (fma.f64 (PI.f64) (.f64 1/2 f) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))

localize7.0ms (0%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.3b	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series12.0ms (0.1%)

Counts

3 → 20

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	f	@	0	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
1.0ms	f	@	-inf	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
1.0ms	f	@	inf	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
0.0ms	f	@	-inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`log-prod_binary64`
426×	`prod-diff_binary64`
303×	`pow2_binary64`
210×	`pow1/3_binary64`
208×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	241	34
2	3217	34

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log.f64 f))) (sqrt.f64 (neg.f64 (log.f64 f))) (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (/.f64 (PI.f64) (/.f64 1 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2)) (cbrt.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-neg_binary64`
525×	`div-sub_binary64`
409×	`log-prod_binary64`
235×	`cube-prod_binary64`
176×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	4496
1	1191	4084
2	4417	3993

Stop Event

1×	node limit

Counts

235 → 288

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

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 f) (PI.f64))
✓	0.3b	(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 48 to 27 computations (43.8% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
373×	`fma-def_binary64`
304×	`pow2_binary64`
237×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	228	21
2	3402	21

Stop Event

1×	node limit

Counts

2 → 198

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 f (/.f64 1 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 f (/.f64 1 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 f (/.f64 1 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 f (/.f64 1 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 f)) (*.f64 (sqrt.f64 (log.f64 f)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 f)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) 1) (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 f)) 1) (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (log.f64 f) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 f)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 f) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 f (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 f)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))) 1))))))

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

390×	`distribute-rgt-in_binary64`
378×	`unswap-sqr_binary64`
338×	`div-sub_binary64`
299×	`fma-neg_binary64`
170×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	5697
1	1061	4410
2	3248	4189

Stop Event

1×	node limit

Counts

214 → 256

Calls

Call 1

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

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	4.3b	(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	13.9b	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))

Compiler

Compiled 78 to 58 computations (25.6% saved)

series25.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	f	@	-inf	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
6.0ms	f	@	0	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
4.0ms	f	@	inf	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
4.0ms	f	@	0	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
1.0ms	f	@	inf	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`log-prod_binary64`
340×	`pow2_binary64`
267×	`pow-unpow_binary64`
256×	`prod-diff_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	312	57
2	3853	55

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))

(pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))

Outputs

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simplify138.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

374×	`unswap-sqr_binary64`
347×	`sqr-pow_binary64`
338×	`fma-def_binary64`
301×	`times-frac_binary64`
278×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	541	8514
1	1598	7669
2	5456	7526

Stop Event

1×	node limit

Counts

136 → 274

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))) 1/3)
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(+.f64 (pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 f 2) (-.f64 (.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))) (+.f64 1/2 (.f64 1/8 (PI.f64)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))) 4)) 1/9) (pow.f64 (pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) 7) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) 2)) 1/3))) (.f64 -1/3 (.f64 (.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))) f) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) 2)) 1/9)))))
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1
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(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))))
(exp.f64 (.f64 1/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(exp.f64 (.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) 1/3))
(+.f64 0 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))) 1)
(*.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))) 1)
(.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))) (exp.f64 (.f64 2/3 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))
(*.f64 1 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))
(.f64 (exp.f64 (.f64 2/3 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))) (sqrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))
(*.f64 (pow.f64 1 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4 (PI.f64)))) 2) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4 (PI.f64)))) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 -4 (PI.f64)))) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) (pow.f64 (sqrt.f64 (exp.f64 (/.f64 -4 (PI.f64)))) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))
(.f64 (.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) 1) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))
(.f64 (.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (cbrt.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))))
(.f64 (.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))) 1/6)) (pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))) 1/6))
(.f64 (pow.f64 (exp.f64 3) (.f64 1/6 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (pow.f64 (exp.f64 3) (.f64 1/6 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))
(.f64 (pow.f64 (exp.f64 3) (.f64 2 (.f64 1/3 (.f64 1/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))) (pow.f64 (exp.f64 3) (.f64 1/3 (.f64 1/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 (.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)) 1/2) (/.f64 -4 (PI.f64)))) (pow.f64 (exp.f64 1) (.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)) 1/2) (/.f64 -4 (PI.f64)))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2/3 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))) 2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))
(+.f64 (.f64 1/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(+.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) 0)
(+.f64 (.f64 (.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)) 1/2) (/.f64 -4 (PI.f64))) (.f64 (.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)) 1/2) (/.f64 -4 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))
(+.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) (.f64 1/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(+.f64 (log.f64 (pow.f64 1 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4 (PI.f64)))) 2) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4 (PI.f64)))) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 -4 (PI.f64)))) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 -4 (PI.f64)))) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) 1)) (.f64 1/3 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (cbrt.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))))) (.f64 1/3 (.f64 1/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))
(+.f64 (log.f64 (.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))) 1/6))) (.f64 1/6 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) 1)
(/.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
(/.f64 (*.f64 -4 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) (PI.f64))
(/.f64 (*.f64 4 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)) 3)) 1/3)
(pow.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (sqrt.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) 2))
(log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))
(log.f64 (.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (+.f64 1 (expm1.f64 (.f64 1/3 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(exp.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) 1))

Outputs
(pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))) 1/3) (.f64 -1/3 (.f64 (.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))) f) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) 2)) 1/9))))
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))) (.f64 (.f64 -1/3 (.f64 f (pow.f64 (exp.f64 -4) (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 -4) (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 -4) (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) 2)) 1/18))))
(fma.f64 -1/3 (.f64 (.f64 (*.f64 f (pow.f64 (exp.f64 -4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (pow.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 -4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 -4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) 2)) 1/18)) (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))
(fma.f64 -1/3 (.f64 (.f64 (*.f64 f (pow.f64 (exp.f64 -4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) -8)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) -8)) 1/18)) (cbrt.f64 (pow.f64 (exp.f64 -4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))
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(log.f64 (.f64 (exp.f64 (.f64 2/3 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (+.f64 1 (expm1.f64 (.f64 1/3 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (*.f64 f (PI.f64))))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f))) 3))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (*.f64 f (PI.f64))))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (.f64 (PI.f64) f))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)) 3)))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (*.f64 f (PI.f64))))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (*.f64 f (PI.f64))))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (*.f64 f (PI.f64))))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (.f64 (PI.f64) f))))
(exp.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (*.f64 f (PI.f64))))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 (/.f64 -4 (PI.f64)) f)))) 1))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (*.f64 f (PI.f64))))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (/.f64 -4 (.f64 (PI.f64) f))))

eval968.0ms (4.9%)

Compiler: Compiled 39297 to 28130 computations (28.4% saved)

prune425.0ms (2.1%)

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	1089	19	1108
Fresh	13	15	28
Picked	1	0	1
Done	2	8	10
Total	1105	42	1147

Error

0.3b

Counts

1147 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	60.7b	(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))
	2.0b	(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) -4) (PI.f64))
	2.7b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) -4) (PI.f64))
	63.6b	(/.f64 (.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 8 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))) -4) (PI.f64))
✓	1.7b	(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
	1.7b	(/.f64 (*.f64 (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f))) -4) (PI.f64))
	2.0b	(/.f64 (.f64 (.f64 3 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
	2.0b	(/.f64 (.f64 (.f64 1/3 (.f64 3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
	1.9b	(/.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
	63.1b	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) -4) (PI.f64))
	2.5b	(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -4) (PI.f64))
	1.7b	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	60.7b	(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
	63.6b	(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 16 (*.f64 f (pow.f64 (PI.f64) 2))))
✓	1.5b	(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
	1.8b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	63.6b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) 1))) (/.f64 -4 (PI.f64)))
✓	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (.f64 f -2)) -2))) (/.f64 -4 (PI.f64)))
	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (+.f64 -2 (pow.f64 (exp.f64 -2) (.f64 f (*.f64 1/8 (neg.f64 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
✓	62.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
	64.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/8) (.f64 (.f64 2 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
✓	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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 -4 (PI.f64)))
	64.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) -2))) (/.f64 -4 (PI.f64)))
	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	63.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
	1.6b	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (-.f64 (.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (/.f64 -4 (PI.f64)))
	63.5b	(.f64 3 (log.f64 (+.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 32 (pow.f64 (PI.f64) 3)) (.f64 (/.f64 1 (pow.f64 (PI.f64) 4)) 128/3)) (.f64 f f)) 1) (/.f64 -16/3 (.f64 f (pow.f64 (PI.f64) 2))))))
	63.5b	(.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (+.f64 1 (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4)))) (/.f64 16 (.f64 f (pow.f64 (PI.f64) 2))))))))
	61.3b	(*.f64 3 (log.f64 1))
	2.6b	(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
	2.0b	(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
	3.0b	(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
✓	1.7b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	1.8b	(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	1.7b	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	1.8b	(.f64 -4 (.f64 (*.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (PI.f64) -2)))
	1.8b	(.f64 -4 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))))
	1.8b	(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
	2.5b	(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	2.6b	(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	1.9b	(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)))

Compiler

Compiled 930 to 742 computations (20.2% saved)

regimes205.0ms (1%)

Counts

89 → 1

Calls

Call 1

Inputs
(*.f64 3 (log.f64 1))
(*.f64 0 (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (.f64 f (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) -4) (PI.f64))
(.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (+.f64 1 (-.f64 f 1)))) (/.f64 -4 (PI.f64)))
(/.f64 (.f64 (.f64 1/3 (.f64 3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(/.f64 (.f64 (.f64 3 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1))
(*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f))) -4) (PI.f64))
(log1p.f64 (-.f64 (pow.f64 (.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))) 1))
(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 16 (*.f64 f (pow.f64 (PI.f64) 2))))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 8 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))) -4) (PI.f64))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (hypot.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -4) (PI.f64))
(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3)))
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3))
(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) -4) (PI.f64))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) -4) (PI.f64))
(.f64 -4 (.f64 (*.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (PI.f64) -2)))
(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3) 1/3))
(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(.f64 -4 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 2) -4) (PI.f64))
(.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 -4 (sqrt.f64 (PI.f64))) (log1p.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))) (sqrt.f64 (PI.f64)))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4)))
(.f64 (-.f64 (.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (cbrt.f64 (pow.f64 (log.f64 f) 2))) (log.f64 (/.f64 (PI.f64) 4))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (/.f64 -4 (PI.f64))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(.f64 3 (log.f64 (+.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 32 (pow.f64 (PI.f64) 3)) (.f64 (/.f64 1 (pow.f64 (PI.f64) 4)) 128/3)) (.f64 f f)) 1) (/.f64 -16/3 (.f64 f (pow.f64 (PI.f64) 2))))))
(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (-.f64 (.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (/.f64 -4 (PI.f64)))
(.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (+.f64 1 (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4)))) (/.f64 16 (.f64 f (pow.f64 (PI.f64) 2))))))))
(*.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2))) (cbrt.f64 (log.f64 f)) (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64))) 3))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 3)) (/.f64 -4 (PI.f64)))
(pow.f64 (cbrt.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64)))) 3)
(.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 3) 1/3)) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/8) (.f64 (.f64 2 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) 1))) (/.f64 -4 (PI.f64)))
(.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (log.f64 (.f64 f (/.f64 4 (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (log.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 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (+.f64 -2 (pow.f64 (exp.f64 -2) (.f64 f (*.f64 1/8 (neg.f64 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (exp.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f)))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (.f64 f -2)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (.f64 f -2)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.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 -4 (PI.f64)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))

Outputs

(*.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2))) (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))

Calls

6 calls:

57.0ms	f
40.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
9.0ms	(.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)))))))
9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
1.5b	1	`f`
1.5b	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))))))))`
1.5b	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)))))))`
1.5b	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))))))`
1.5b	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)))))`
1.5b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 2342 to 1672 computations (28.6% saved)

regimes179.0ms (0.9%)

Counts

87 → 1

Calls

Call 1

Inputs
(*.f64 3 (log.f64 1))
(*.f64 0 (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (.f64 f (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) -4) (PI.f64))
(.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (+.f64 1 (-.f64 f 1)))) (/.f64 -4 (PI.f64)))
(/.f64 (.f64 (.f64 1/3 (.f64 3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(/.f64 (.f64 (.f64 3 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1))
(*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f))) -4) (PI.f64))
(log1p.f64 (-.f64 (pow.f64 (.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))) 1))
(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 16 (*.f64 f (pow.f64 (PI.f64) 2))))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 8 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))) -4) (PI.f64))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (hypot.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -4) (PI.f64))
(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3)))
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3))
(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) -4) (PI.f64))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) -4) (PI.f64))
(.f64 -4 (.f64 (*.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (PI.f64) -2)))
(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3) 1/3))
(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(.f64 -4 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 2) -4) (PI.f64))
(.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 -4 (sqrt.f64 (PI.f64))) (log1p.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))) (sqrt.f64 (PI.f64)))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4)))
(.f64 (-.f64 (.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (cbrt.f64 (pow.f64 (log.f64 f) 2))) (log.f64 (/.f64 (PI.f64) 4))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (/.f64 -4 (PI.f64))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(.f64 3 (log.f64 (+.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 32 (pow.f64 (PI.f64) 3)) (.f64 (/.f64 1 (pow.f64 (PI.f64) 4)) 128/3)) (.f64 f f)) 1) (/.f64 -16/3 (.f64 f (pow.f64 (PI.f64) 2))))))
(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (-.f64 (.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (/.f64 -4 (PI.f64)))
(.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (+.f64 1 (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4)))) (/.f64 16 (.f64 f (pow.f64 (PI.f64) 2))))))))
(*.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 f) 2))) (cbrt.f64 (log.f64 f)) (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64))) 3))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) 3)) (/.f64 -4 (PI.f64)))
(pow.f64 (cbrt.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64)))) 3)
(.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) 3) 1/3)) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/8) (.f64 (.f64 2 f) (PI.f64))) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) 1))) (/.f64 -4 (PI.f64)))
(.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (log.f64 (.f64 f (/.f64 4 (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (log.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 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (+.f64 -2 (pow.f64 (exp.f64 -2) (.f64 f (*.f64 1/8 (neg.f64 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (exp.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f)))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (.f64 f -2)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (exp.f64 (log.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (+.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4)) (.f64 f -2)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) (/.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 2) (-.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 3) (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) 2) (.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (-.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.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 -4 (PI.f64)))

Outputs

(*.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (*.f64 f (-.f64 (*.f64 1/16 (*.f64 1 (/.f64 (PI.f64) 1/2))) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/96) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (/.f64 -4 (PI.f64)))

Calls

6 calls:

40.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
39.0ms	f
10.0ms	(.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)))))))
10.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
8.0ms	(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))))))))

Results

Error	Segments	Branch
1.6b	1	`f`
1.6b	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))))))))`
1.6b	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)))))))`
1.6b	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))))))`
1.6b	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)))))`
1.6b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 2057 to 1450 computations (29.5% saved)

regimes47.0ms (0.2%)

Counts

58 → 1

Calls

Call 1

Inputs
(*.f64 3 (log.f64 1))
(*.f64 0 (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (.f64 f (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) -4) (PI.f64))
(.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (+.f64 1 (-.f64 f 1)))) (/.f64 -4 (PI.f64)))
(/.f64 (.f64 (.f64 1/3 (.f64 3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(/.f64 (.f64 (.f64 3 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1))
(*.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (+.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f))) -4) (PI.f64))
(log1p.f64 (-.f64 (pow.f64 (.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))) 1))
(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(-.f64 (/.f64 32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 16 (*.f64 f (pow.f64 (PI.f64) 2))))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 8 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))) -4) (PI.f64))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (hypot.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -4) (PI.f64))
(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3)))
(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3))
(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) -4) (PI.f64))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) -4) (PI.f64))
(.f64 -4 (.f64 (*.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (PI.f64) -2)))
(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3) 1/3))
(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(.f64 -4 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f)))) 2) -4) (PI.f64))
(.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 -4 (sqrt.f64 (PI.f64))) (log1p.f64 (.f64 (/.f64 2 (PI.f64)) (/.f64 2 f)))) (sqrt.f64 (PI.f64)))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -4 (PI.f64))) (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4) (PI.f64))
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (*.f64 (/.f64 (PI.f64) (PI.f64)) 1/2)))) -4)))
(.f64 (-.f64 (.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (cbrt.f64 (pow.f64 (log.f64 f) 2))) (log.f64 (/.f64 (PI.f64) 4))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2) (.f64 (/.f64 (PI.f64) (PI.f64)) 1/2))) (/.f64 -4 (PI.f64))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) -2))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(.f64 3 (log.f64 (+.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 32 (pow.f64 (PI.f64) 3)) (.f64 (/.f64 1 (pow.f64 (PI.f64) 4)) 128/3)) (.f64 f f)) 1) (/.f64 -16/3 (.f64 f (pow.f64 (PI.f64) 2))))))

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

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
1.7b	1	`f`

Compiler

Compiled 828 to 592 computations (28.5% saved)

regimes22.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 3 (log.f64 1))
(*.f64 0 (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (.f64 f (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))) -4) (PI.f64))
(.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) (+.f64 1 (-.f64 f 1)))) (/.f64 -4 (PI.f64)))
(/.f64 (.f64 (.f64 1/3 (.f64 3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(/.f64 (.f64 (.f64 3 (.f64 1/3 (log1p.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) -4) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.7b	1	`f`

Compiler

Compiled 169 to 130 computations (23.1% saved)

regimes7.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 3 (log.f64 1))
(*.f64 0 (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 -16 f) (pow.f64 (PI.f64) 2))

Outputs
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
60.7b	1	`f`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes4.0ms (0%)

Accuracy

Total -2.7b remaining (-4.4%)

Threshold costs -2.7b (-4.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 3 (log.f64 1))
(*.f64 0 (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))

Outputs
(*.f64 3 (log.f64 1))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
61.3b	1	`f`

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

121×	`distribute-rgt-neg-in_binary64`
89×	`cancel-sign-sub-inv_binary64`
82×	`distribute-lft-neg-in_binary64`
75×	`neg-sub0_binary64`
74×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	335
1	137	331
2	168	331
3	198	331
4	229	331
5	296	331
6	374	331
7	434	331
8	493	331
9	562	331
10	601	331
11	654	331
12	712	331
13	773	331
14	856	331
15	920	331
16	946	331
17	955	331
18	964	331
19	968	331

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (-.f64 (.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(*.f64 3 (log.f64 1))

Outputs
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))) 2))) (.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 -2 (/.f64 (+.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.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)))))) f))) (neg.f64 (log.f64 f))))) (/.f64 -4 (PI.f64)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))) 2))) (.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 (/.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)) -2)))) (pow.f64 f 2))) (-.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.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)))))) f))) (log.f64 f)) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 -4 (PI.f64)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))) 2))) (.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 2 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (pow.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (-.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (PI.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)))))) f))) (log.f64 f)) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (-.f64 (.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 1/4 (pow.f64 (PI.f64) 2))))))) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (-.f64 (.f64 1/16 (/.f64 (PI.f64) 1/2)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (+.f64 (.f64 1/16 (/.f64 (PI.f64) 1/2)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/96) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -4) (PI.f64))
(/.f64 (*.f64 -4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(/.f64 -16 (*.f64 f (pow.f64 (PI.f64) 2)))
(/.f64 -16 (*.f64 (pow.f64 (PI.f64) 2) f))
(*.f64 3 (log.f64 1))
0

Compiler

Compiled 202 to 162 computations (19.8% saved)

soundness185.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

738×	`fma-neg_binary64`
697×	`cancel-sign-sub-inv_binary64`
561×	`fma-def_binary64`
401×	`unswap-sqr_binary64`
391×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	124	59
3	328	55
4	976	55
5	2575	55
6	6177	55
0	295	3417
1	721	2967
2	3262	2574

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 800 to 609 computations (23.9% saved)

end100.0ms (0.5%)

Compiler: Compiled 197 to 152 computations (22.8% saved)

Iter	Nodes	Cost
0	81	335
1	137	331
2	168	331
3	198	331
4	229	331
5	296	331
6	374	331
7	434	331
8	493	331
9	562	331
10	601	331
11	654	331
12	712	331
13	773	331
14	856	331
15	920	331
16	946	331
17	955	331
18	964	331
19	968	331

Iter	Nodes	Cost
0	81	335
1	137	331
2	168	331
3	198	331
4	229	331
5	296	331
6	374	331
7	434	331
8	493	331
9	562	331
10	601	331
11	654	331
12	712	331
13	773	331
14	856	331
15	920	331
16	946	331
17	955	331
18	964	331
19	968	331

Iter	Nodes	Cost
0	81	335
1	137	331
2	168	331
3	198	331
4	229	331
5	296	331
6	374	331
7	434	331
8	493	331
9	562	331
10	601	331
11	654	331
12	712	331
13	773	331
14	856	331
15	920	331
16	946	331
17	955	331
18	964	331
19	968	331