Details

analyze330.0ms (0.4%)

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)

sample8.7s (10%)

Results

2.8s	4020×	body	1024	valid
2.6s	3916×	body	1024	invalid
982.0ms	2062×	body	512	valid
962.0ms	1960×	body	512	invalid
701.0ms	513×	body	2048	valid
409.0ms	1661×	body	256	valid
236.0ms	972×	body	256	invalid
1.0ms	5×	body	256	unsamplable

Bogosity

preprocess60.0ms (0.1%)

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)

simplify49.0ms (0.1%)

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)))

eval3.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

62.5b

Counts

8 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.5b	(.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

▶

62.5b

(*.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 33 to 22 computations (33.3% saved)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) f)
✓	0.5b	(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))))))
✓	1.2b	(/.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)))))
✓	5.0b	(-.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)

series73.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	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))))))
30.0ms	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))))))
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 (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))))
1.0ms	f	@	0	(/.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)))))

rewrite101.0ms (0.1%)

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)))))
(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 (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) f)))))) (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) 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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.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 (cbrt.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))))) (#(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) (cbrt.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> 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simplify94.0ms (0.1%)

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	2069	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))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
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(-.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))))))
(+.f64 0 (*.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 (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 (PI.f64)) f))
(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 (-.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
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-2
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-2
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-2
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-2
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(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
(+.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)

eval296.0ms (0.3%)

Compiler: Compiled 16961 to 10753 computations (36.6% saved)

prune111.0ms (0.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	349	12	361
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	349	13	362

Error

2.0b

Counts

362 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	2.5b	(.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)))
	64.0b	(.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)) -2))) (/.f64 -4 (PI.f64)))
✓	62.5b	(.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)))
	63.0b	(.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) f) 4)) (exp.f64 (.f64 -1/4 (sqrt.f64 (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	62.5b	(.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 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3))) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.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 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
▶	2.3b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))
▶	2.6b	(.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 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
▶	2.6b	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	45.5b	(.f64 (log.f64 (/.f64 -2 (.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
	2.4b	(.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 (.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)))
▶	2.6b	(.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 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 835 to 638 computations (23.6% saved)

localize204.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.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)
✓	1.2b	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.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))))))))

Compiler

Compiled 397 to 289 computations (27.2% saved)

series14.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.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))))))))
6.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.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))))))))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.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))))))))

Time

Variable

Point

Expression

7.0ms

inf

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

6.0ms

-inf

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

1.0ms

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

rewrite60.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`add-sqr-sqrt_binary64`
412×	`pow1_binary64`
409×	`add-log-exp_binary64`
408×	`*-un-lft-identity_binary64`
406×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	83
1	898	83

Stop Event

1×	node limit

Counts

4 → 34

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 (.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))))))))
(pow.f64 (PI.f64) 3)
(*.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 (log.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))) (#(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 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 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 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 (log.f64 (PI.f64)) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))))
((#(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 log.f64 (exp.f64 (.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 cbrt.f64 (.f64 (.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (.f64 1/384 (pow.f64 (PI.f64) 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))))))))

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

872×	`distribute-rgt-in_binary64`
314×	`associate-r_binary64`
284×	`distribute-rgt-out_binary64`
264×	`associate-l_binary64`
233×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	2937
1	838	2766
2	4169	2478

Stop Event

1×	node limit

Counts

46 → 79

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))))
(+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
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(pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) 1)
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(*.f64 1 (pow.f64 (PI.f64) 3))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(pow.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) 1)
(log.f64 (exp.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))))
(cbrt.f64 (.f64 (.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (*.f64 1/384 (pow.f64 (PI.f64) 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))))

Outputs
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (+.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 f f)) (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 1/2 (.f64 (.f64 (PI.f64) 1/2) (.f64 f (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))) (neg.f64 (log.f64 f)))))
(fma.f64 (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (/.f64 (.f64 1/96 (pow.f64 (PI.f64) 3)) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 0))) (.f64 f f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 f (.f64 (PI.f64) 0)) (log.f64 f))))
(-.f64 (fma.f64 (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 (.f64 -1/96 (pow.f64 (PI.f64) 3)) (.f64 1/4 (pow.f64 (PI.f64) 2)))) 0)) (.f64 f f) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/2 (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (+.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 f f)) (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 1/2 (.f64 (.f64 (PI.f64) 1/2) (.f64 f (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))) (neg.f64 (log.f64 f)))))
(fma.f64 (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (/.f64 (.f64 1/96 (pow.f64 (PI.f64) 3)) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) 0))) (.f64 f f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 f (.f64 (PI.f64) 0)) (log.f64 f))))
(-.f64 (fma.f64 (.f64 1/2 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (/.f64 (.f64 -1/96 (pow.f64 (PI.f64) 3)) (.f64 1/4 (pow.f64 (PI.f64) 2)))) 0)) (.f64 f f) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 5 (neg.f64 (log.f64 f)) (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 (PI.f64) 5) 1/61440))))
(+.f64 (.f64 (log.f64 f) -5) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))))))
(fma.f64 5 (neg.f64 (log.f64 f)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 5) 1/61440))) (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 (PI.f64) 5) 1/61440)))))
(+.f64 (.f64 (log.f64 f) -5) (+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (.f64 (pow.f64 (PI.f64) 5) 1/61440))) (/.f64 (.f64 -1/192 (pow.f64 (PI.f64) 3)) (.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (.f64 (pow.f64 (PI.f64) 5) 1/61440))) (fma.f64 (log.f64 f) -5 (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (.f64 f f))))))
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(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) 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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))))
(cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) 1)
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(log.f64 (exp.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(cbrt.f64 (.f64 (.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(log1p.f64 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(exp.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))

localize8.0ms (0%)

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

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)))
✓	0.2b	(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
✓	0.3b	(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
✓	0.4b	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 71 to 52 computations (26.8% saved)

series60.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
14.0ms	f	@	0	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
11.0ms	f	@	inf	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	inf	(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
0.0ms	f	@	-inf	(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)

rewrite92.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`log-prod_binary64`
315×	`fma-def_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`
254×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	340	52
2	4448	52

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify84.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

598×	`div-sub_binary64`
531×	`log-prod_binary64`
222×	`cube-prod_binary64`
207×	`associate-l_binary64`
203×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	379	2996
1	887	2173
2	3731	2173

Stop Event

1×	node limit

Counts

183 → 211

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

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

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) f)
✓	0.3b	(/.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))
✓	0.4b	(.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)))
✓	1.2b	(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)))

Compiler

Compiled 145 to 88 computations (39.3% saved)

series50.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f)))
21.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f)))
2.0ms	f	@	0	(.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)))
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 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f)))
1.0ms	f	@	-inf	(.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)))

rewrite89.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

336×	`expm1-udef_binary64`
336×	`log1p-udef_binary64`
308×	`fma-neg_binary64`
227×	`add-sqr-sqrt_binary64`
220×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	471	107
2	6666	107

Stop Event

1×	node limit

Counts

3 → 97

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

(*.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 (+.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))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.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 (/.f64 1 f) (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 (PI.f64) (*.f64 1/2 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.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))) (*.f64 (PI.f64) (*.f64 1/2 f)))) 2)) (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 (PI.f64) (*.f64 1/2 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 (PI.f64) (*.f64 1/2 f))))) (log.f64 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simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

373×	`log-prod_binary64`
365×	`div-sub_binary64`
238×	`associate-r_binary64`
212×	`cube-prod_binary64`
193×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	4741
1	994	3887
2	4465	3771

Stop Event

1×	node limit

Counts

133 → 186

Calls

Call 1

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

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

localize86.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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))
✓	0.3b	(+.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)))))))
✓	0.4b	(.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)

series9.0ms (0%)

Counts

3 → 15

Calls

9 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)))
1.0ms	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 (.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)))))))
0.0ms	f	@	-inf	(/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))

rewrite86.0ms (0.1%)

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	94
1	503	86
2	7450	86

Stop Event

1×	node limit

Counts

3 → 93

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

Outputs

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simplify365.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64`
616×	`distribute-lft-in_binary64`
570×	`unswap-sqr_binary64`
462×	`fma-def_binary64`
173×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	2992
1	937	2234
2	3221	2062

Stop Event

1×	node limit

Counts

108 → 156

Calls

Call 1

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

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

eval509.0ms (0.6%)

Compiler: Compiled 29390 to 21202 computations (27.9% saved)

prune177.0ms (0.2%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	721	30	751
Fresh	3	4	7
Picked	1	0	1
Done	3	2	5
Total	728	36	764

Error

1.7b

Counts

764 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	2.5b	(/.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
	63.0b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 1/4 (PI.f64)))
	2.6b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) -4)))
	12.0b	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))))
	3.5b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3) 1/3) (/.f64 -4 (PI.f64)))
	2.8b	(.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) 2) (/.f64 -4 (PI.f64)))
	3.4b	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) 3) (/.f64 -4 (PI.f64)))
	3.2b	(.f64 (/.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 (PI.f64) (.f64 1/2 f))) 3)) (+.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 (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (log.f64 (.f64 (PI.f64) (.f64 1/2 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 (PI.f64) (.f64 1/2 f))))))) (/.f64 -4 (PI.f64)))
	2.9b	(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (log.f64 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	2.9b	(.f64 (/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))) (log.f64 (.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 -4 (PI.f64)))
	2.5b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
▶	2.3b	(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
	2.8b	(.f64 (log1p.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (/.f64 -4 (PI.f64)))
✓	64.0b	(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
	2.8b	(.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)))
▶	2.6b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	30.9b	(.f64 (log.f64 (/.f64 (-.f64 1/4 (pow.f64 (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) 1/2) 2)) (/.f64 -2 (.f64 (*.f64 (PI.f64) 1/2) f)))) (/.f64 -4 (PI.f64)))
	64.0b	(.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)) -2))) (/.f64 -4 (PI.f64)))
✓	62.5b	(.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)))
	63.0b	(.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) f) 4)) (exp.f64 (.f64 -1/4 (sqrt.f64 (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	62.5b	(.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 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3))) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.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 1/4) (*.f64 (PI.f64) f)) -2))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (log.f64 (/.f64 2 (log.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (log.f64 (/.f64 2 (log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))) (/.f64 -4 (PI.f64)))
	2.8b	(.f64 (log.f64 (-.f64 1 (/.f64 (/.f64 -2 (.f64 (PI.f64) 1/2)) f))) (/.f64 -4 (PI.f64)))
	2.5b	(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))))) (/.f64 -4 (PI.f64)))
	3.3b	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
	3.4b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
▶	2.8b	(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3)) (/.f64 -4 (PI.f64)))
	63.2b	(log1p.f64 (-.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64))) 1))
▶	12.0b	(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64))))
	2.8b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64))) 3))

Compiler

Compiled 1566 to 1243 computations (20.6% saved)

localize108.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	1.0b	(pow.f64 (PI.f64) 5)
	1.0b	(pow.f64 (PI.f64) 3)
✓	1.2b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))

Compiler

Compiled 280 to 193 computations (31.1% saved)

series12.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`prod-diff_binary64`
284×	`add-sqr-sqrt_binary64`
274×	`pow1_binary64`
272×	`add-log-exp_binary64`
269×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	75
1	602	72
2	7092	72

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs

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

(pow.f64 (PI.f64) 5)

(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.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 1 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 5 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 (PI.f64))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))))))

simplify114.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-rgt-in_binary64`
597×	`distribute-lft-in_binary64`
286×	`unswap-sqr_binary64`
205×	`times-frac_binary64`
193×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	4162
1	994	4013
2	3525	3974

Stop Event

1×	node limit

Counts

77 → 133

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
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(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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))) 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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))) 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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))) 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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))))
(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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))))
(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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))

Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 (.f64 1/2 (.f64 (PI.f64) 1/12)) (PI.f64)))) (fma.f64 1/2 (.f64 f (.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0)))
(fma.f64 1/2 (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/12) (.f64 f f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (.f64 3/2 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 (.f64 1/2 (.f64 (PI.f64) 1/12)) (PI.f64)))) (fma.f64 1/2 (.f64 f (.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0)))
(fma.f64 1/2 (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/12) (.f64 f f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))))
(fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 (log.f64 f) -5) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 (log.f64 f) -5) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (pow.f64 (PI.f64) 5))))) (/.f64 320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 (log.f64 f) -5) (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))) (/.f64 -320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5)))) (fma.f64 (log.f64 f) -5 (/.f64 -320 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (+.f64 (.f64 -6291456000 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 1887436800 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (pow.f64 f 4))))) (.f64 320 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (+.f64 (fma.f64 5 (neg.f64 (log.f64 f)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (pow.f64 (PI.f64) 5))))) (.f64 1/24 (/.f64 (-.f64 (.f64 -1/2560 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (pow.f64 (PI.f64) 9)) -4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)))) (/.f64 320 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 (log.f64 f) -5) (+.f64 (fma.f64 1/24 (/.f64 (fma.f64 -1/2560 (.f64 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) -4404019200) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))))) (/.f64 -320 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)))))
(+.f64 (fma.f64 1/24 (/.f64 (fma.f64 -1/2560 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 9)) -4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (pow.f64 f 4)) (log.f64 (.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (PI.f64) 5))))) (fma.f64 (log.f64 f) -5 (/.f64 -320 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))))))
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(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))
(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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))))))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))))))
(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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))
(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))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))))) 1))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(pow.f64 (PI.f64) 5)
(*.f64 1 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(pow.f64 (sqrt.f64 (PI.f64)) 10)
(sqrt.f64 (pow.f64 (PI.f64) 10))
(pow.f64 (PI.f64) 5)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(pow.f64 (PI.f64) 5)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(pow.f64 (PI.f64) 5)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 5)
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 5)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)

localize16.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	0.4b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series35.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	f	@	0	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
12.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
7.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(/.f64 (/.f64 4 (PI.f64)) f)
0.0ms	f	@	inf	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))

rewrite62.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`pow1_binary64`
917×	`add-log-exp_binary64`
917×	`log1p-expm1-u_binary64`
917×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	218	35
2	2863	35

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

562×	`unswap-sqr_binary64`
424×	`associate-*l/_binary64`
366×	`associate-*r/_binary64`
322×	`div-sub_binary64`
318×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	1772
1	563	1658
2	2266	1647

Stop Event

1×	node limit

Counts

125 → 129

Calls

Call 1

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

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

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (.f64 1/2 f))
✓	0.3b	(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
✓	5.5b	(pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64)))
✓	9.2b	(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64))))

Compiler

Compiled 47 to 34 computations (27.7% saved)

series101.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
65.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64))))
20.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64))))
14.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64))))
0.0ms	f	@	0	(.f64 (PI.f64) (.f64 1/2 f))
0.0ms	f	@	-inf	(.f64 (PI.f64) (.f64 1/2 f))

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
332×	`pow-prod-down_binary64`
320×	`pow2_binary64`
299×	`pow-unpow_binary64`
237×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	260	57
2	3139	57

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

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

Outputs
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simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

737×	`fma-def_binary64`
462×	`unswap-sqr_binary64`
376×	`log-prod_binary64`
347×	`times-frac_binary64`
297×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	3532
1	816	3253
2	2765	2917

Stop Event

1×	node limit

Counts

193 → 222

Calls

Call 1

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

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

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
✓	0.4b	(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3)) (/.f64 -4 (PI.f64)))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3))
✓	0.7b	(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3)

Compiler

Compiled 69 to 53 computations (23.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3)
1.0ms	f	@	-inf	(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3)
1.0ms	f	@	inf	(pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3)
0.0ms	f	@	0	(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3)) (/.f64 -4 (PI.f64)))
0.0ms	f	@	inf	(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) 3))

rewrite68.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log-prod_binary64`
392×	`pow-prod-down_binary64`
354×	`pow2_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	326	49
2	3599	49

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs

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

(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 1/2 f)))) 3))

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

Outputs

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simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

684×	`div-sub_binary64`
350×	`unswap-sqr_binary64`
308×	`log-prod_binary64`
203×	`associate-/l/_binary64`
172×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	4294970033
1	726	2312
2	2591	2274

Stop Event

1×	node limit

Counts

153 → 191

Calls

Call 1

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

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

localize77.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
	0.2b	(*.f64 (PI.f64) f)
✓	1.2b	(/.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))
✓	1.6b	(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)

series40.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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)))
17.0ms	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	@	0	(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))

rewrite97.0ms (0.1%)

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))))))

simplify119.0ms (0.1%)

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

eval578.0ms (0.7%)

Compiler: Compiled 30822 to 22239 computations (27.8% saved)

prune230.0ms (0.3%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	979	18	997
Fresh	19	10	29
Picked	1	0	1
Done	4	2	6
Total	1003	30	1033

Error

0.4b

Counts

1033 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	2.5b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
	63.0b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 1/4 (PI.f64)))
▶	2.6b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
	2.5b	(.f64 (/.f64 -12 (PI.f64)) (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3))
	2.5b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	2.6b	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 1/2 f))) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (.f64 1 (fma.f64 1/2 (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/12) (.f64 f f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 -4 (PI.f64)))
▶	2.3b	(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) (/.f64 -4 (PI.f64)))
	2.8b	(.f64 (log1p.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (/.f64 -4 (PI.f64)))
✓	2.6b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	30.9b	(.f64 (log.f64 (/.f64 (-.f64 1/4 (pow.f64 (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) 1/2) 2)) (/.f64 -2 (.f64 (*.f64 (PI.f64) 1/2) f)))) (/.f64 -4 (PI.f64)))
✓	62.5b	(.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)))
	63.0b	(.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) f) 4)) (exp.f64 (.f64 -1/4 (sqrt.f64 (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	62.5b	(.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 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3))) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.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)))
	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 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.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 (expm1.f64 (log1p.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))) -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 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) -2))) (/.f64 -4 (PI.f64)))
	64.0b	(.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)))
	63.0b	(.f64 (log.f64 (/.f64 2 (log.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (log.f64 (/.f64 2 (log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))) (/.f64 -4 (PI.f64)))
	2.8b	(.f64 (log.f64 (-.f64 1 (/.f64 (/.f64 -2 (.f64 (PI.f64) 1/2)) f))) (/.f64 -4 (PI.f64)))
▶	2.5b	(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))))) (/.f64 -4 (PI.f64)))
	2.5b	(.f64 1/3 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -12 (PI.f64))))
▶	60.8b	(*.f64 0 (/.f64 -4 (PI.f64)))
	63.2b	(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))))
	12.0b	(log.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 3) (/.f64 -4 (PI.f64))))
	12.0b	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))

Compiler

Compiled 1174 to 931 computations (20.7% saved)

localize133.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))))
✓	0.4b	(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64)))
	1.0b	(pow.f64 (PI.f64) 5)
✓	1.2b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))

Compiler

Compiled 263 to 175 computations (33.5% saved)

series33.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	f	@	0	(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))))
2.0ms	f	@	inf	(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	-inf	(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	inf	(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))))
1.0ms	f	@	0	(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64)))

rewrite105.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`prod-diff_binary64`
314×	`add-sqr-sqrt_binary64`
300×	`add-log-exp_binary64`
300×	`pow1_binary64`
297×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	182
1	681	182
2	7847	182

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (log.f64 (/.f64 1 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (neg.f64 (log.f64 (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 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simplify204.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

267×	`fma-def_binary64`
265×	`log-prod_binary64`
250×	`associate-r_binary64`
228×	`div-sub_binary64`
218×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	10945
1	1510	10191
2	5891	10185

Stop Event

1×	node limit

Counts

131 → 250

Calls

Call 1

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

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

localize8.0ms (0%)

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

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 30 computations (40% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`log-prod_binary64`
333×	`pow-prod-down_binary64`
305×	`pow2_binary64`
214×	`pow1/3_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	255	42
2	3220	42

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary64`
395×	`unswap-sqr_binary64`
360×	`log-prod_binary64`
311×	`sqr-pow_binary64`
248×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	4165
1	995	3763
2	3006	3759

Stop Event

1×	node limit

Counts

200 → 252

Calls

Call 1

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

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

localize23.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 2 (*.f64 1/2 f)))
✓	0.2b	(-.f64 (log.f64 (/.f64 2 (*.f64 1/2 f))) (log.f64 (PI.f64)))
✓	0.4b	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 1/2 f))) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 47 to 34 computations (27.7% saved)

series82.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	f	@	-inf	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 1/2 f))) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
26.0ms	f	@	0	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 1/2 f))) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
7.0ms	f	@	inf	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 1/2 f))) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 2 (*.f64 1/2 f))) (log.f64 (PI.f64)))
0.0ms	f	@	inf	(-.f64 (log.f64 (/.f64 2 (*.f64 1/2 f))) (log.f64 (PI.f64)))

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log-prod_binary64`
423×	`prod-diff_binary64`
356×	`pow2_binary64`
248×	`pow1/3_binary64`
248×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	287	33
2	3686	33

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-neg_binary64`
638×	`div-sub_binary64`
349×	`log-prod_binary64`
204×	`associate-/l*_binary64`
180×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	4968
1	1251	4562
2	4895	4545

Stop Event

1×	node limit

Counts

250 → 297

Calls

Call 1

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

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

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	0.4b	(*.f64 f (pow.f64 (PI.f64) 2))
✓	0.4b	(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 107 to 75 computations (29.9% saved)

series7.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	-inf	(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(*.f64 f (pow.f64 (PI.f64) 2))
0.0ms	f	@	inf	(*.f64 f (pow.f64 (PI.f64) 2))

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`fma-def_binary64`
303×	`fma-neg_binary64`
299×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
243×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	432	44
2	5848	44

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (*.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))))) (/.f64 -4 (PI.f64)))

(*.f64 f (pow.f64 (PI.f64) 2))

(/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))

Outputs

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

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

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

613×	`unswap-sqr_binary64`
374×	`associate-/r/_binary64`
331×	`associate-/l/_binary64`
268×	`fma-def_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	1681
1	682	1630
2	2594	1615
3	7828	1615

Stop Event

1×	node limit

Counts

106 → 151

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.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 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.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 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.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 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64)))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64)))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) -1/4))
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4)))
(/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) (PI.f64))
(/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) 1) (PI.f64))
(/.f64 (/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 4 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 4) (neg.f64 (PI.f64)))
(pow.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (pow.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (pow.f64 (PI.f64) 2)))) 1)
(pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 1)
(pow.f64 (pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2))) 3)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 f)) 2)
(sqrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (pow.f64 (PI.f64) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (pow.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (*.f64 f (pow.f64 (PI.f64) 2))))
(exp.f64 (fma.f64 2 (log.f64 (PI.f64)) (log.f64 f)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (PI.f64)) (log.f64 f)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (/.f64 1 (PI.f64))))) 1)
(*.f64 f (/.f64 1 (/.f64 1 (PI.f64))))
(.f64 f (.f64 (pow.f64 (PI.f64) 2) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(.f64 (.f64 f (pow.f64 (PI.f64) 2)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 f (/.f64 1 (PI.f64))) 1)
(*.f64 1 (/.f64 f (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) (.f64 (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2))) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 2) (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(.f64 (.f64 (PI.f64) (sqrt.f64 f)) (.f64 (.f64 (PI.f64) (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (neg.f64 f)) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (PI.f64)) (.f64 f (pow.f64 (PI.f64) 2)))
(*.f64 (/.f64 f 1) (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 f (PI.f64)))
(*.f64 (/.f64 f (PI.f64)) (pow.f64 (PI.f64) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) 1) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 f)) 1) (/.f64 (*.f64 (PI.f64) (sqrt.f64 f)) (PI.f64)))
(*.f64 (/.f64 f (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 f (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 f (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (*.f64 f f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 (PI.f64) (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 f (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (/.f64 f (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (.f64 f (pow.f64 (PI.f64) 2)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 2)
(pow.f64 (/.f64 (/.f64 1 (PI.f64)) f) -1)
(neg.f64 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (/.f64 1 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64)))) 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 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 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 -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))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 -1/8 (.f64 f (*.f64 f (PI.f64)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 -1/8 f) f)))
(+.f64 (.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.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 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (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)))))
(fma.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 -1/8 (.f64 f (.f64 f (PI.f64))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 (PI.f64) (.f64 (.f64 -1/8 f) f) (.f64 (.f64 1/512 (pow.f64 (PI.f64) 3)) (pow.f64 f 4))))
(+.f64 (.f64 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.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 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (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))))))
(fma.f64 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 -1/8 (.f64 f (*.f64 f (PI.f64)))))))
(fma.f64 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 (PI.f64) (.f64 (.f64 -1/8 f) f) (.f64 (*.f64 1/512 (pow.f64 (PI.f64) 3)) (pow.f64 f 4)))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))) (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 -128 (.f64 (*.f64 (pow.f64 (PI.f64) 3) f) f)))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 -128 (.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))) (/.f64 128 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 (/.f64 2048 (pow.f64 f 4)) (pow.f64 (PI.f64) 5))) (/.f64 -128 (.f64 (*.f64 (pow.f64 (PI.f64) 3) f) f)))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (/.f64 -128 (.f64 f (.f64 f (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))) (+.f64 (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 131072/3 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 (/.f64 2048 (pow.f64 f 4)) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 -128 (.f64 (*.f64 (pow.f64 (PI.f64) 3) f) f)) (/.f64 (/.f64 131072/3 (pow.f64 f 6)) (pow.f64 (PI.f64) 7))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 -128 (.f64 f (.f64 f (pow.f64 (PI.f64) 3))))) (-.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (/.f64 (/.f64 131072/3 (pow.f64 (PI.f64) 7)) (pow.f64 f 6))))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (PI.f64) -1/8))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (.f64 -4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (PI.f64) -1/8))) (PI.f64))) (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -128 (.f64 (*.f64 (pow.f64 (PI.f64) 3) f) f)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -128 (.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64)))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (.f64 -4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (PI.f64) -1/8))) (PI.f64))) (/.f64 128 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(+.f64 (/.f64 (/.f64 2048 (pow.f64 f 4)) (pow.f64 (PI.f64) 5)) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -128 (.f64 (*.f64 (pow.f64 (PI.f64) 3) f) f))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -128 (.f64 f (.f64 f (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64)))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
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(/.f64 (cbrt.f64 (.f64 f (.f64 f (pow.f64 (PI.f64) 4)))) (/.f64 (PI.f64) (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 2))
(*.f64 f (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 2) (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(.f64 (.f64 (PI.f64) (sqrt.f64 f)) (.f64 (.f64 (PI.f64) (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(*.f64 f (PI.f64))
(*.f64 (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (neg.f64 f)) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (neg.f64 f) (/.f64 1 (neg.f64 (PI.f64)))))
(/.f64 (pow.f64 (PI.f64) 2) (/.f64 (neg.f64 (PI.f64)) (neg.f64 f)))
(*.f64 (/.f64 f -1) (neg.f64 (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (.f64 f (pow.f64 (PI.f64) 2)))
(*.f64 f (PI.f64))
(*.f64 (/.f64 f 1) (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 (/.f64 f (PI.f64)) (pow.f64 (PI.f64) 2))
(*.f64 f (PI.f64))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) 1) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) f) f)) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(.f64 (cbrt.f64 (.f64 f (.f64 f (pow.f64 (PI.f64) 4)))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(/.f64 (cbrt.f64 (.f64 f (.f64 f (pow.f64 (PI.f64) 4)))) (/.f64 (PI.f64) (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 f)) 1) (/.f64 (*.f64 (PI.f64) (sqrt.f64 f)) (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 (/.f64 f (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 f (PI.f64))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 f (cbrt.f64 (PI.f64))))
(*.f64 f (PI.f64))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 f (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(*.f64 f (PI.f64))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (*.f64 f f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 f (PI.f64))) (/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) f) f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (cbrt.f64 (.f64 f (PI.f64))) (/.f64 (cbrt.f64 (.f64 f (.f64 f (pow.f64 (PI.f64) 4)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 (PI.f64) (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(*.f64 f (PI.f64))
(*.f64 (/.f64 f (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))))
(*.f64 f (PI.f64))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (/.f64 f (sqrt.f64 (PI.f64))))
(*.f64 f (PI.f64))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (.f64 f (pow.f64 (PI.f64) 2)) (sqrt.f64 (PI.f64))))
(*.f64 f (PI.f64))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) f) f)) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(.f64 (cbrt.f64 (.f64 f (.f64 f (pow.f64 (PI.f64) 4)))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(/.f64 (cbrt.f64 (.f64 f (.f64 f (pow.f64 (PI.f64) 4)))) (/.f64 (PI.f64) (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 1)
(*.f64 f (PI.f64))
(pow.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 3) 1/3)
(*.f64 f (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 3)
(*.f64 f (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 2)
(*.f64 f (PI.f64))
(pow.f64 (/.f64 (/.f64 1 (PI.f64)) f) -1)
(*.f64 f (PI.f64))
(neg.f64 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (neg.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (neg.f64 f) (/.f64 1 (neg.f64 (PI.f64)))))
(/.f64 (pow.f64 (PI.f64) 2) (/.f64 (neg.f64 (PI.f64)) (neg.f64 f)))
(*.f64 (/.f64 f -1) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 2))
(*.f64 f (PI.f64))
(log.f64 (exp.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (/.f64 1 (PI.f64))))))
(*.f64 f (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 3))
(*.f64 f (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 3) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 6)))
(expm1.f64 (log1p.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64)))) 1))
(*.f64 f (PI.f64))

eval713.0ms (0.8%)

Compiler: Compiled 35163 to 24502 computations (30.3% saved)

prune275.0ms (0.3%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1044	7	1051
Fresh	5	18	23
Picked	1	0	1
Done	1	5	6
Total	1051	30	1081

Error

0.4b

Counts

1081 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	2.5b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
	2.5b	(/.f64 (log.f64 (fma.f64 1/8 (.f64 f (PI.f64)) (/.f64 4 (.f64 f (PI.f64))))) (*.f64 (PI.f64) -1/4))
	63.0b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 1/4 (PI.f64)))
✓	2.6b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
	2.6b	(/.f64 1 (/.f64 -1/4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
	2.5b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.5b	(.f64 (/.f64 -12 (PI.f64)) (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3))
	2.6b	(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (.f64 1 (log.f64 (fma.f64 2 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓	2.3b	(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (.f64 1 (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) (/.f64 -4 (PI.f64)))
	2.8b	(.f64 (log1p.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (/.f64 -4 (PI.f64)))
✓	2.6b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	30.9b	(.f64 (log.f64 (/.f64 (-.f64 1/4 (pow.f64 (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) 1/2) 2)) (/.f64 -2 (.f64 (*.f64 (PI.f64) 1/2) f)))) (/.f64 -4 (PI.f64)))
✓	62.5b	(.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)))
	63.0b	(.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) f) 4)) (exp.f64 (.f64 -1/4 (sqrt.f64 (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	62.5b	(.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 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3))) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.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)))
	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 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.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 (expm1.f64 (log1p.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))) -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 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) -2))) (/.f64 -4 (PI.f64)))
	64.0b	(.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)))
	2.8b	(.f64 (log.f64 (-.f64 1 (/.f64 (/.f64 -2 (.f64 (PI.f64) 1/2)) f))) (/.f64 -4 (PI.f64)))
	2.5b	(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	2.5b	(.f64 1/3 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -12 (PI.f64))))
✓	60.8b	(*.f64 0 (/.f64 -4 (PI.f64)))
	63.2b	(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))))
	12.0b	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))

Compiler

Compiled 604 to 470 computations (22.2% saved)

regimes291.0ms (0.3%)

Counts

69 → 2

Calls

Call 1

Inputs
(*.f64 0 (/.f64 -4 (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 1/4 (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
(.f64 1/3 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -12 (PI.f64))))
(.f64 (log.f64 (/.f64 -2 (.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
(.f64 (log1p.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 -12 (PI.f64)) (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/3))
(/.f64 1 (/.f64 -1/4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
(/.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) -4) (PI.f64))
(.f64 (log.f64 (-.f64 1 (/.f64 (/.f64 -2 (.f64 (PI.f64) 1/2)) f))) (/.f64 -4 (PI.f64)))
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) -4)))
(.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 1/2 f))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(log.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64))))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))))
(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
(.f64 (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (.f64 (PI.f64) 1/2))) (/.f64 -4 (PI.f64)))
(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 1/2 f))) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 -4 (PI.f64))) 1))
(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) (/.f64 -4 (PI.f64))) 3))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3)) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) 3) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))) 2) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (fma.f64 1/8 (.f64 f (PI.f64)) (/.f64 4 (.f64 f (PI.f64))))) (*.f64 (PI.f64) -1/4))
(.f64 (log.f64 (/.f64 2 (log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (*.f64 1/2 f))))))) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) 3) 1/3) (/.f64 -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 (log.f64 (/.f64 (-.f64 1/4 (pow.f64 (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) 1/2) 2)) (/.f64 -2 (.f64 (*.f64 (PI.f64) 1/2) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 2 (log.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/2))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 f))) 3) (/.f64 -4 (PI.f64))))
(.f64 (.f64 1 (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))))) (/.f64 -4 (PI.f64)))
(.f64 (.f64 1 (fma.f64 1/2 (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/12) (.f64 f f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 -4 (PI.f64)))
(.f64 (.f64 1 (log.f64 (fma.f64 2 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 f) (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) 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 (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)))
(.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 (/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (log.f64 (.f64 (PI.f64) (.f64 1/2 f))))) (log.f64 (.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 -4 (PI.f64)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.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 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 (PI.f64) 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 (expm1.f64 (log1p.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))))) -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) 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 (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)) -2))) (/.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 (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 (sqrt.f64 (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/2))) (log.f64 (*.f64 (PI.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 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3))) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64)))
(.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) 1/4)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (/.f64 -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 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -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 (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 (PI.f64) (.f64 1/2 f))) 3)) (+.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 (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 f))) (log.f64 (.f64 (PI.f64) (.f64 1/2 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 (PI.f64) (.f64 1/2 f))))))) (/.f64 -4 (PI.f64)))

Outputs

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

(*.f64 0 (/.f64 -4 (PI.f64)))

Calls

11 calls:

58.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
56.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
55.0ms	f
12.0ms	(/.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)))))
11.0ms	(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
1.0b	2	`f`
1.0b	2	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.0b	2	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.0b	2	`(.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)))))))`
1.0b	2	`(.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)))))))`
1.0b	2	`(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))))))`
1.0b	2	`(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))))))`
1.0b	2	`(/.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)))))`
1.0b	2	`(/.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)))))`
1.0b	2	`(*.f64 (/.f64 (PI.f64) 4) f)`
1.0b	2	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1804 to 1314 computations (27.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	37.71083018445113	9927.69128077308

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes269.0ms (0.3%)

Counts

64 → 2

Calls

Call 1

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

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

Calls

11 calls:

54.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
52.0ms	f
51.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
11.0ms	(.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)))))))
11.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

Error	Segments	Branch
1.2b	2	`f`
1.2b	2	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.2b	2	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.2b	2	`(.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)))))))`
1.2b	2	`(.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)))))))`
1.2b	2	`(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))))))`
1.2b	2	`(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))))))`
1.2b	2	`(/.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)))))`
1.2b	2	`(/.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)))))`
1.2b	2	`(*.f64 (/.f64 (PI.f64) 4) f)`
1.2b	2	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1481 to 1084 computations (26.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	37.71083018445113	9927.69128077308

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes56.0ms (0.1%)

Counts

45 → 2

Calls

Call 1

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

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

Calls

1 calls:

38.0ms

Results

Error	Segments	Branch
1.2b	2	`f`

Compiler

Compiled 624 to 467 computations (25.2% saved)

bsearch118.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
117.0ms	48.014920255635595	12640.329126602763

Results

81.0ms	96×	body	1024	valid
25.0ms	16×	body	2048	valid
8.0ms	16×	body	512	valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes54.0ms (0.1%)

Counts

43 → 2

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (fma.f64 1/8 (.f64 f (PI.f64)) (/.f64 4 (.f64 f (PI.f64))))) (*.f64 (PI.f64) -1/4))
(*.f64 0 (/.f64 -4 (PI.f64)))

Calls

1 calls:

36.0ms

Results

Error	Segments	Branch
1.3b	2	`f`

Compiler

Compiled 581 to 437 computations (24.8% saved)

bsearch138.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
138.0ms	48.014920255635595	12640.329126602763

Results

102.0ms	96×	body	1024	valid
25.0ms	16×	body	2048	valid
8.0ms	16×	body	512	valid

Compiler

Compiled 234 to 185 computations (20.9% saved)

regimes43.0ms (0%)

Counts

36 → 2

Calls

Call 1

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

Outputs
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
(*.f64 0 (/.f64 -4 (PI.f64)))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
1.3b	2	`f`

Compiler

Compiled 460 to 345 computations (25% saved)

bsearch27.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	0.7350490848317961	40.884701489042534

Results

25.0ms

112×

body

256

valid

Compiler

Compiled 175 to 152 computations (13.1% saved)

regimes9.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(*.f64 0 (/.f64 -4 (PI.f64)))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
1.4b	2	`f`

Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch26.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	0.7350490848317961	40.884701489042534

Results

25.0ms

112×

body

256

valid

Compiler

Compiled 175 to 152 computations (13.1% saved)

regimes5.0ms (0%)

Accuracy

Total -3.2b remaining (-5.3%)

Threshold costs -3.2b (-5.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 0 (/.f64 -4 (PI.f64)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
60.8b	1	`f`

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`*-lft-identity_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	302
1	114	302
2	118	302
3	120	302
4	121	302

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 50) (.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64))) (*.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 50) (.f64 (.f64 1 (fma.f64 1/2 (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/12) (.f64 f f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 -4 (PI.f64))) (.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 f 226) (.f64 (.f64 1 (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64))) (*.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 f 226) (/.f64 (log.f64 (fma.f64 1/8 (.f64 f (PI.f64)) (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 f 5/4) (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64)) (*.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 f 5/4) (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64))) (.f64 0 (/.f64 -4 (PI.f64))))
(*.f64 0 (/.f64 -4 (PI.f64)))

Outputs
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 50) (.f64 (.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (.f64 -1/4 f) (PI.f64)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))) (/.f64 -4 (PI.f64))) (*.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 50) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))) (/.f64 -4 (PI.f64))) (.f64 (/.f64 -4 (PI.f64)) 0))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 50) (.f64 (.f64 1 (fma.f64 1/2 (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/12) (.f64 f f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 -4 (PI.f64))) (.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 (.f64 (/.f64 (PI.f64) 4) f) 50) (.f64 (/.f64 -4 (PI.f64)) (fma.f64 1/2 (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/12) (.f64 f f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (/.f64 -4 (PI.f64)) 0))
(if (<=.f64 f 226) (.f64 (.f64 1 (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64))) (*.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 f 226) (.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 0 (PI.f64)) (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))))) (.f64 (/.f64 -4 (PI.f64)) 0))
(if (<=.f64 f 226) (/.f64 (log.f64 (fma.f64 1/8 (.f64 f (PI.f64)) (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 f 226) (/.f64 (log.f64 (fma.f64 1/8 (.f64 (PI.f64) f) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) -1/4)) (.f64 (/.f64 -4 (PI.f64)) 0))
(if (<=.f64 f 5/4) (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64)) (*.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 f 5/4) (/.f64 (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (*.f64 (/.f64 -4 (PI.f64)) 0))
(if (<=.f64 f 5/4) (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64))) (.f64 0 (/.f64 -4 (PI.f64))))
(if (<=.f64 f 5/4) (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 (/.f64 -4 (PI.f64)) 0))
(*.f64 0 (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) 0)

Compiler

Compiled 192 to 148 computations (22.9% saved)

soundness1.2min (80%)

Algorithm

5×	egg-herbie

Rules

809×	`times-frac_binary64`
738×	`fma-neg_binary64`
738×	`fma-neg_binary64`
611×	`distribute-rgt-in_binary64`
597×	`distribute-lft-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
0	369	4162
1	994	4013
2	3525	3974
0	17	64
1	49	61
2	124	59
3	328	55
4	976	55
5	2575	55
6	6177	55
0	606	2866
1	2069	2866
0	395	6996
1	1023	6660
2	3799	2615

Stop Event

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

Compiler

Compiled 1171078 to 820020 computations (30% saved)

end161.0ms (0.2%)

Compiler: Compiled 186 to 133 computations (28.5% saved)