Details

analyze339.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	25%	0%	0%	3
0%	0%	62.5%	0%	25%	0%	12.5%	4
0%	0%	56.2%	0%	25%	0%	18.7%	5
6.3%	3.1%	46.9%	0%	25%	3.1%	21.9%	6
6.5%	3.1%	45.3%	0%	25%	3.1%	23.4%	7
6.6%	3.1%	44.5%	0%	25%	3.1%	24.2%	8
7.4%	3.5%	44.1%	0%	25%	3.1%	24.2%	9
7.8%	3.7%	43.9%	0%	25%	3.1%	24.2%	10
8%	3.8%	43.8%	0%	25%	3.1%	24.2%	11
8%	3.8%	43.8%	0%	25%	3.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample11.5s (53.1%)

Results

3.7s	4018×	body	1024	valid
3.3s	3979×	body	1024	invalid
1.3s	2010×	body	512	valid
1.2s	1923×	body	512	invalid
1.0s	532×	body	2048	valid
621.0ms	1696×	body	256	valid
331.0ms	1055×	body	256	invalid
2.0ms	2×	body	2048	invalid
1.0ms	7×	body	256	unsamplable

Bogosity

preprocess66.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

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)))

eval1.0ms (0%)

Compiler: Compiled 70 to 52 computations (25.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

61.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.2b	(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))))))))
▶	61.2b	(.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)))

Status

Error

Program

▶

61.2b

(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))))))))

▶

61.2b

(*.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 71 to 54 computations (23.9% saved)

localize96.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.3b	(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))))))
✓	1.3b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	6.7b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 197 to 144 computations (26.9% saved)

series91.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
34.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
10.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
3.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

rewrite216.0ms (1%)

Algorithm

4×	egg-rewrite
3×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

609×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
560×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	295	52
2	5127	52
0	10	13
1	225	13
2	3658	13
0	10	13
0	12	28
1	277	28
2	4901	28
0	12	28
0	13	30
1	295	30
2	5142	30
0	13	30
0	6	8
1	130	8
2	1559	8

Stop Event

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

Counts

4 → 50

Calls

Call 1

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

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

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

699×	`times-frac_binary64`
687×	`fma-def_binary64`
343×	`associate-+l+_binary64`
341×	`distribute-rgt-in_binary64`
339×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1600
1	392	1478
2	1663	1348

Stop Event

1×	node limit

Counts

98 → 78

Calls

Call 1

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

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

localize158.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))
✓	0.3b	(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)))))
✓	1.3b	(/.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))))
✓	6.7b	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))

Compiler

Compiled 146 to 94 computations (35.6% saved)

series160.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
70.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
29.0ms	f	@	-inf	(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)))))
26.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
21.0ms	f	@	inf	(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)))))
4.0ms	f	@	0	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))

rewrite177.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`prod-diff_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`
298×	`fma-def_binary64`
195×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	171
1	397	171
2	5452	171

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

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

Outputs
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simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

758×	`times-frac_binary64`
744×	`fma-def_binary64`
392×	`distribute-rgt-in_binary64`
390×	`distribute-lft-in_binary64`
381×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2297
1	456	2087
2	1853	1857

Stop Event

1×	node limit

Counts

294 → 284

Calls

Call 1

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

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

eval704.0ms (3.3%)

Compiler: Compiled 21588 to 14474 computations (33% saved)

prune100.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	409	13	422
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	411	13	424

Error

1.6b

Counts

424 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
▶	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))))
	2.8b	(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)
	2.3b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
	2.0b	(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)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
	2.5b	(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
▶	2.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
▶	1.9b	(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 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
▶	61.2b	(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 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
▶	2.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
	2.8b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.2b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))

Compiler

Compiled 804 to 666 computations (17.2% saved)

localize112.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
✓	0.5b	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))
✓	0.5b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
✓	1.5b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))

Compiler

Compiled 255 to 193 computations (24.3% saved)

series76.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
22.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
9.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
5.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
4.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))

rewrite256.0ms (1.2%)

Algorithm

3×	egg-rewrite-iter-limit
4×	egg-rewrite
1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
849×	`add-log-exp_binary64`
848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	112
1	498	112
2	6967	112
0	19	28
1	421	28
2	5890	28
0	19	28
0	20	30
1	439	30
2	6108	30
0	20	30
0	11	13
1	226	13
2	2387	13
0	23	37
1	498	37
2	6977	37
0	23	37

Stop Event

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

Counts

4 → 45

Calls

Call 1

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

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

simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

888×	`distribute-rgt-in_binary64`
882×	`distribute-lft-in_binary64`
250×	`associate-r_binary64`
219×	`fma-def_binary64`
210×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	5496
1	696	3315
2	3510	2273

Stop Event

1×	node limit

Counts

93 → 84

Calls

Call 1

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

localize19.0ms (0.1%)

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)

series124.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
80.0ms	f	@	0	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
28.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
13.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(/.f64 (/.f64 4 (PI.f64)) f)
0.0ms	f	@	inf	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))

rewrite78.0ms (0.4%)

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)))))))))

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
717×	`div-sub_binary64`
443×	`distribute-rgt-in_binary64`
401×	`sub-neg_binary64`
395×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	492
1	56	468
2	104	468
3	251	468
4	703	468
5	1959	468
6	5302	468
7	7344	468

Stop Event

1×	node limit

Counts

125 → 97

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

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

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))
✓	0.4b	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f)))))))
✓	0.5b	(log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
✓	1.2b	(.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))

Compiler

Compiled 149 to 116 computations (22.1% saved)

series57.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	f	@	inf	(log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
20.0ms	f	@	-inf	(log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms	f	@	0	(log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
2.0ms	f	@	0	(.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
2.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f)))))))

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`log-prod_binary64`
297×	`expm1-udef_binary64`
297×	`log1p-udef_binary64`
256×	`log-pow_binary64`
197×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	108
1	364	90
2	4619	61

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (sqrt.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (/.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (/.f64 1/2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (log.f64 (/.f64 1 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 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simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-rgt-in_binary64`
733×	`distribute-lft-in_binary64`
360×	`times-frac_binary64`
236×	`associate-*l/_binary64`
235×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	3741
1	628	2954
2	2982	2305

Stop Event

1×	node limit

Counts

246 → 237

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 -8 (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (+.f64 (.f64 -8 (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (.f64 f (-.f64 (.f64 1/8 (PI.f64)) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))))))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (+.f64 (.f64 -8 (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (.f64 -16 (/.f64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3))) (.f64 8 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (.f64 8 (/.f64 (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/3072 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64)))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 f 2)) (.f64 f (-.f64 (.f64 1/8 (PI.f64)) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (.f64 -16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 3)))))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
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Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
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(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 1 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 (*.f64 f (PI.f64)) 1/4)))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (*.f64 f (PI.f64)) -1/4))))
(/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))

localize122.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))
✓	0.4b	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
✓	1.1b	(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))
✓	1.5b	(/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))

Compiler

Compiled 178 to 138 computations (22.5% saved)

series8.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))
1.0ms	f	@	0	(/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
1.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
1.0ms	f	@	0	(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))
0.0ms	f	@	inf	(/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`log-prod_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
263×	`log-pow_binary64`
222×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	412	101
2	4933	60

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

Inputs
(/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))

Outputs
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simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

973×	`fma-def_binary64`
573×	`distribute-rgt-in_binary64`
571×	`distribute-lft-in_binary64`
401×	`associate-+l+_binary64`
266×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	4138
1	530	3296
2	2378	2550

Stop Event

1×	node limit

Counts

373 → 242

Calls

Call 1

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

localize155.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (PI.f64) 1/4) f)
✓	1.3b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
✓	1.5b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
✓	6.7b	(+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))

Compiler

Compiled 242 to 177 computations (26.9% saved)

series22.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
8.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
1.0ms	f	@	0	(+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))

rewrite260.0ms (1.2%)

Algorithm

4×	egg-rewrite
2×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

995×	`pow1_binary64`
928×	`add-log-exp_binary64`
926×	`log1p-expm1-u_binary64`
926×	`expm1-log1p-u_binary64`
551×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	113
1	479	113
2	6341	113
0	12	24
1	259	13
2	3675	13
0	21	41
1	479	41
2	6287	41
0	21	41
0	20	39
1	461	39
2	6052	39
0	20	39
0	6	8
1	122	8
2	1392	8

Stop Event

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

Counts

4 → 66

Calls

Call 1

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

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

699×	`times-frac_binary64`
687×	`fma-def_binary64`
344×	`associate-+l+_binary64`
341×	`distribute-rgt-in_binary64`
339×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1600
1	392	1478
2	1664	1348

Stop Event

1×	node limit

Counts

114 → 94

Calls

Call 1

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

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

eval904.0ms (4.2%)

Compiler: Compiled 29786 to 23620 computations (20.7% saved)

prune161.0ms (0.7%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	730	24	754
Fresh	7	1	8
Picked	1	0	1
Done	2	2	4
Total	740	27	767

Error

0.2b

Counts

767 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
▶	0.6b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
✓	2.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
	0.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 2 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))
	3.0b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	2.8b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
	2.9b	(.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))
	14.1b	(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))))
	0.7b	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) 1))))
	2.9b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
	0.8b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))))
▶	62.9b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
	3.2b	(.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 -4 (PI.f64)))
	0.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (.f64 1/3 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
	0.9b	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 2))
	2.0b	(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4))))
✓	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))))
	31.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))) 2))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))) 2))))) (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))))
	3.6b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	1.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64))))))) (cbrt.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))) (cbrt.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64))))))) (log.f64 (/.f64 1/2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))
▶	2.8b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	3.8b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))
	0.7b	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))
	1.4b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
▶	1.4b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
	2.9b	(.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))

Compiler

Compiled 941 to 805 computations (14.5% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 37 computations (28.8% saved)

series63.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	f	@	-inf	(/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))
23.0ms	f	@	inf	(/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))
8.0ms	f	@	0	(/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))
1.0ms	f	@	0	(log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))
1.0ms	f	@	0	(tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`log-prod_binary64`
338×	`pow2_binary64`
260×	`pow-unpow_binary64`
236×	`pow1/3_binary64`
233×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	256	49
2	3632	49

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

458×	`distribute-rgt-in_binary64`
451×	`distribute-lft-in_binary64`
422×	`associate-+l+_binary64`
372×	`*-commutative_binary64`
334×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	2687
1	469	2209
2	1991	1943
3	7494	1943

Stop Event

1×	node limit

Counts

244 → 225

Calls

Call 1

Inputs
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
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(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
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(.f64 1/4 (.f64 f (PI.f64)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))) (.f64 1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (pow.f64 f 3)) (.f64 1/4 (*.f64 f (PI.f64)))))
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(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
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Outputs
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
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(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
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(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 0)
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(fma.f64 (pow.f64 f 4) (-.f64 (.f64 1/2 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192)))))))) (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/128))) (.f64 1/64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 0) (.f64 f f)) (fma.f64 (+.f64 (.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384))) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (pow.f64 f 3) (.f64 1/4 (*.f64 f (PI.f64))))))
(fma.f64 (pow.f64 f 4) (fma.f64 1/2 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 4) -1/32) (+.f64 (.f64 (fma.f64 (pow.f64 (PI.f64) 3) -1/192 (.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32))) (.f64 (PI.f64) -1/4)) (.f64 (pow.f64 (PI.f64) 4) -1/3072))) (neg.f64 (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/128))) 0))) (+.f64 (fma.f64 1/4 (.f64 f (PI.f64)) (.f64 0 (.f64 f f))) (.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (pow.f64 f 3))))
(+.f64 (fma.f64 (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/32) -1/8) (.f64 (pow.f64 (PI.f64) 3) -7/768)) (pow.f64 f 3) (.f64 f (.f64 1/4 (PI.f64)))) (.f64 (pow.f64 f 4) (fma.f64 1/2 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/1024) (+.f64 (.f64 (PI.f64) (.f64 -1/4 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/192)))) (.f64 (pow.f64 (PI.f64) 4) -1/3072))) (.f64 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/128))) 1/8))))
(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))))
(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))))
(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))))
(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))))
(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))))
(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))))
(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))))
(/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (exp.f64 (.f64 (.f64 f (PI.f64)) -1/4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
409×	`exp-prod_binary64`
286×	`pow-prod-down_binary64`
267×	`pow2_binary64`
188×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	217	40
2	2790	40

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

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

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
683×	`div-sub_binary64`
443×	`distribute-rgt-in_binary64`
407×	`sub-neg_binary64`
406×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	552
1	56	528
2	104	528
3	251	528
4	700	528
5	1952	528
6	5285	528
7	7398	528

Stop Event

1×	node limit

Counts

247 → 208

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

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

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.4b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series52.0ms (0.2%)

Counts

3 → 20

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	f	@	0	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
18.0ms	f	@	-inf	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
12.0ms	f	@	inf	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
0.0ms	f	@	inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
417×	`prod-diff_binary64`
323×	`pow-prod-down_binary64`
273×	`pow2_binary64`
200×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	241	34
2	3195	34

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

971×	`div-sub_binary64`
390×	`sub-neg_binary64`
389×	`fma-def_binary64`
309×	`unsub-neg_binary64`
265×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	356
1	68	324
2	153	324
3	435	324
4	1394	324
5	4574	324

Stop Event

1×	node limit

Counts

253 → 240

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) f)
	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.4b	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
✓	1.1b	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))

Compiler

Compiled 49 to 29 computations (40.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
405×	`exp-prod_binary64`
308×	`pow-prod-down_binary64`
282×	`pow2_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	235	27
2	2800	27

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
710×	`div-sub_binary64`
443×	`distribute-rgt-in_binary64`
402×	`sub-neg_binary64`
398×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	396
1	51	372
2	98	372
3	243	372
4	693	372
5	1953	372
6	5300	372
7	7342	372

Stop Event

1×	node limit

Counts

133 → 116

Calls

Call 1

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

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

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))
	0.3b	(/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))
	0.4b	(/.f64 f (/.f64 4 (PI.f64)))
✓	1.1b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))))

Compiler

Compiled 79 to 58 computations (26.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))))

0.0ms

inf

(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))))

0.0ms

-inf

(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
358×	`pow2_binary64`
308×	`prod-diff_binary64`
250×	`pow1/3_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	275	19
2	3836	19

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

621×	`associate-r_binary64`
612×	`fma-def_binary64`
607×	`associate-l_binary64`
366×	`fma-neg_binary64`
295×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1003
1	349	846
2	1388	711
3	7326	709

Stop Event

1×	node limit

Counts

76 → 74

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
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Outputs
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(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
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(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)) (.f64 -8 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0)))))
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(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 0)
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(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))

eval681.0ms (3.2%)

Compiler: Compiled 23471 to 17279 computations (26.4% saved)

prune202.0ms (0.9%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1080	17	1097
Fresh	12	8	20
Picked	0	1	1
Done	1	5	6
Total	1093	31	1124

Error

0.0b

Counts

1124 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
✓	2.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	2.8b	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
	59.6b	(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 (PI.f64) 1/4))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) -1/4)))
	62.0b	(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))))
	0.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 2 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))
▶	2.9b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
	0.7b	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) 1))))
▶	13.9b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
	0.8b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))))
✓	62.9b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
	0.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (.f64 1/3 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
	62.9b	(/.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
	0.9b	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 2))
	2.0b	(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4))))
	3.1b	(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	2.9b	(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
	0.7b	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))
	2.9b	(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)))
	43.8b	(.f64 (.f64 1/3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))) (/.f64 -4 (PI.f64)))
✓	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))))
▶	0.6b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))) (*.f64 (PI.f64) -1/4)))
	3.0b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
✓	1.4b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
▶	0.7b	(neg.f64 (-.f64 (fma.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)) 1) 1))
	3.2b	(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (/.f64 -4 (PI.f64)))
▶	0.7b	(neg.f64 (/.f64 (.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
	3.0b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	1.4b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
✓	2.8b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))

Compiler

Compiled 888 to 764 computations (14% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log.f64 (tanh.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3)))
✓	0.3b	(/.f64 (log.f64 (tanh.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))) (*.f64 (PI.f64) -1/4))
✓	0.6b	(cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4)))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3)

Compiler

Compiled 79 to 60 computations (24.1% saved)

series24.0ms (0.1%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	f	@	0	(/.f64 (log.f64 (tanh.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))) (*.f64 (PI.f64) -1/4))
4.0ms	f	@	-inf	(/.f64 (log.f64 (tanh.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))) (*.f64 (PI.f64) -1/4))
3.0ms	f	@	inf	(/.f64 (log.f64 (tanh.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))) (*.f64 (PI.f64) -1/4))
2.0ms	f	@	0	(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3)
2.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3)

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log-prod_binary64`
334×	`pow-unpow_binary64`
332×	`pow2_binary64`
231×	`pow1/3_binary64`
229×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	313	49
2	3847	49

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

170 → 170

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series5.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
406×	`exp-prod_binary64`
288×	`pow-prod-down_binary64`
272×	`pow2_binary64`
191×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	220	44
2	2808	44

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
707×	`div-sub_binary64`
443×	`distribute-rgt-in_binary64`
403×	`sub-neg_binary64`
397×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	444
1	55	420
2	100	420
3	247	420
4	699	420
5	1952	420
6	5293	420
7	7326	420

Stop Event

1×	node limit

Counts

191 → 175

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	5.2b	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
✓	10.7b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))

Compiler

Compiled 35 to 24 computations (31.4% saved)

series219.0ms (1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
178.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
21.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
19.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
0.0ms	f	@	0	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
0.0ms	f	@	-inf	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`pow1_binary64`
921×	`add-log-exp_binary64`
921×	`log1p-expm1-u_binary64`
921×	`expm1-log1p-u_binary64`
105×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	220	32
2	2898	32

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

844×	`div-sub_binary64`
795×	`fma-def_binary64`
600×	`distribute-rgt-in_binary64`
446×	`distribute-lft-in_binary64`
297×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	520
1	63	504
2	121	504
3	285	504
4	867	504
5	2836	504

Stop Event

1×	node limit

Counts

72 → 58

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))))

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

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))
✓	0.3b	(/.f64 (.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4))
✓	0.3b	(.f64 3 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
✓	0.4b	(.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))

Compiler

Compiled 82 to 63 computations (23.2% saved)

series9.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	0	(.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
1.0ms	f	@	0	(.f64 3 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
1.0ms	f	@	0	(/.f64 (.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4))
1.0ms	f	@	0	(log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))
1.0ms	f	@	inf	(.f64 3 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`log-prod_binary64`
364×	`pow2_binary64`
256×	`pow1/3_binary64`
252×	`log1p-udef_binary64`
251×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	334	58
2	4275	58

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

Inputs
(.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(.f64 3 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 (.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4))
(log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))

Outputs
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simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

476×	`associate-+l+_binary64`
470×	`distribute-rgt-in_binary64`
464×	`distribute-lft-in_binary64`
405×	`*-commutative_binary64`
396×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	3709
1	534	2993
2	2377	2548

Stop Event

1×	node limit

Counts

212 → 162

Calls

Call 1

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

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 f (.f64 (PI.f64) 1/4))
	0.3b	(log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))
✓	0.3b	(-.f64 (fma.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)) 1) 1)
✓	0.4b	(fma.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)) 1)

Compiler

Compiled 71 to 53 computations (25.4% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
369×	`pow2_binary64`
257×	`pow1/3_binary64`
255×	`log1p-udef_binary64`
253×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	290	50
2	3686	47

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-def_binary64`
725×	`associate-r_binary64`
717×	`associate-l_binary64`
378×	`distribute-rgt-in_binary64`
372×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2089
1	496	1729
2	2083	1472

Stop Event

1×	node limit

Counts

154 → 139

Calls

Call 1

Inputs
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) 1)
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 1 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 1 (+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))))))
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(+.f64 1 (.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(+.f64 1 (.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(+.f64 1 (.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(+.f64 1 (.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(+.f64 1 (.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(+.f64 1 (.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(+.f64 1 (.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(+.f64 1 (.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/3072 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (.f64 -48 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))))) (PI.f64))) (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))

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

eval1.0s (4.8%)

Compiler: Compiled 16657 to 12588 computations (24.4% saved)

prune142.0ms (0.7%)

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	753	7	760
Fresh	7	13	20
Picked	1	0	1
Done	1	9	10
Total	762	29	791

Error

0.0b

Counts

791 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(neg.f64 (-.f64 (+.f64 (.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) 1) 1))
✓	0.6b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
✓	2.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	2.8b	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
	2.8b	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	59.6b	(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 (PI.f64) 1/4))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) -1/4)))
	62.0b	(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))))
	3.6b	(/.f64 -4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
	0.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 2 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))
✓	2.9b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
	0.7b	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) 1))))
✓	13.9b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
	0.8b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))))
✓	62.9b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
	62.9b	(/.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
	3.1b	(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
	0.7b	(neg.f64 (.f64 1/3 (/.f64 1 (.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) -1/12))))
	2.9b	(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)))
	43.8b	(.f64 (.f64 1/3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))) (/.f64 -4 (PI.f64)))
	2.9b	(/.f64 -4 (neg.f64 (/.f64 (PI.f64) (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)))))
	3.0b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))))
✓	0.6b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))) (*.f64 (PI.f64) -1/4)))
	2.9b	(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
	0.6b	(neg.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (/.f64 1/3 (PI.f64))))
	3.2b	(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (/.f64 -4 (PI.f64)))
✓	0.7b	(neg.f64 (/.f64 (.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
	1.4b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
✓	2.8b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))

Compiler

Compiled 438 to 376 computations (14.2% saved)

regimes179.0ms (0.8%)

Counts

63 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 -4 (neg.f64 (/.f64 (PI.f64) (log.f64 (.f64 (.f64 (PI.f64) f) 1/4)))))
(*.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
(.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)))
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
(.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))))
(/.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) -1/12) (/.f64 1/3 (PI.f64))))
(.f64 (.f64 1/3 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))) (/.f64 -4 (PI.f64)))
(neg.f64 (-.f64 (+.f64 (.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) 1) 1))
(neg.f64 (.f64 1/3 (/.f64 1 (.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) -1/12))))
(neg.f64 (/.f64 (.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) 1))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1/3 (*.f64 3 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 3 (.f64 1/3 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))
(/.f64 -4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(.f64 (/.f64 -4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))))
(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))
(neg.f64 (-.f64 (fma.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)) 1) 1))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 2 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 2))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 (PI.f64) 1/4))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
(.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)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))) 2))) (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))) 2))))) (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64))))))) (cbrt.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))) (cbrt.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64))))))) (log.f64 (/.f64 1/2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))

Outputs
(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))

Calls

7 calls:

37.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
36.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
30.0ms	f
10.0ms	(/.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)))))
9.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
0.6b	1	`f`
0.6b	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
0.6b	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
0.6b	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
0.6b	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
0.6b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`
0.6b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1342 to 1030 computations (23.2% saved)

regimes18.0ms (0.1%)

Accuracy

Total -61.1b remaining (-2175.8%)

Threshold costs -61.1b (-2175.8%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.8b	1	`f`

Compiler

Compiled 227 to 157 computations (30.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	25	38
2	29	38
3	32	38
4	33	38

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs

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

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

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

soundness0.0ms (0%)

end24.0ms (0.1%)

Compiler: Compiled 23 to 18 computations (21.7% saved)