Details

analyze1.4s (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	75%	25%	3
0%	62.5%	37.5%	4
0%	56.2%	43.8%	5
3.1%	46.9%	50%	6
3.1%	45.3%	51.6%	7
3.1%	44.5%	52.4%	8
3.5%	44.1%	52.4%	9
3.7%	43.9%	52.4%	10
3.8%	43.8%	52.4%	11
3.8%	43.8%	52.4%	12
3.8%	43.8%	52.4%	13
3.8%	43.7%	52.4%	14

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample10.5s (72.1%)

Results

3.4s	4066×	body	1024	valid
3.0s	3861×	body	1024	invalid
1.2s	1956×	body	512	valid
1.2s	2052×	body	512	invalid
750.0ms	530×	body	2048	valid
418.0ms	1052×	body	256	valid
398.0ms	1034×	body	256	invalid
151.0ms	652×	body	128	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 78 to 62 computations (20.5% saved)

preprocess34.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

569×	`fma-def_binary64`
323×	`fma-neg_binary64`
202×	`distribute-rgt-in_binary64`
192×	`cancel-sign-sub-inv_binary64`
175×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	122	59
3	326	55
4	975	55
5	2553	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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 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 (.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (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 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
323×	`fma-neg_binary64`
202×	`distribute-rgt-in_binary64`
192×	`cancel-sign-sub-inv_binary64`
175×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	122	59
3	326	55
4	975	55
5	2553	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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 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 (.f64 -1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (*.f64 -1/4 (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 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

61.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	61.3b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Error

Program

▶

61.3b

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

Compiler

Compiled 146 to 112 computations (23.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))))))
✓	0.2b	(*.f64 (/.f64 (PI.f64) 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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	5.8b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

series80.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
33.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
2.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
2.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
1.0ms	f	@	inf	(*.f64 (/.f64 (PI.f64) 4) f)

rewrite158.0ms (1.1%)

Algorithm

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

Rules

609×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
172×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	354	52
0	10	13
1	225	13
2	3619	13
0	10	13
0	12	28
1	277	28
0	12	50
0	6	8
1	130	8
2	1559	8
0	16	37
1	354	37
0	16	62

Stop Event

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

Counts

4 → 34

Calls

Call 1

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

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

467×	`fma-neg_binary64`
405×	`associate-l_binary64`
394×	`associate-r_binary64`
373×	`distribute-rgt-neg-in_binary64`
362×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1476
1	285	1455
2	848	1445
3	3341	1445

Stop Event

1×	node limit

Counts

82 → 68

Calls

Call 1

Inputs
(.f64 1/2 (.f64 f (PI.f64)))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 1/2 (.f64 f (PI.f64))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (.f64 1/2 (.f64 f (PI.f64)))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))) (.f64 1/2 (.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 (.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 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64)))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 4 (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 31/1451520 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.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)))
(.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 1/2 (.f64 f (PI.f64)))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 1/2 (.f64 f (PI.f64))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (.f64 1/2 (*.f64 f (PI.f64))))
(fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 1/2 (*.f64 f (PI.f64))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (.f64 1/2 (.f64 f (PI.f64)))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 1/2 (.f64 f (PI.f64)))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))) (.f64 1/2 (.f64 f (PI.f64))))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)) (.f64 1/2 (*.f64 f (PI.f64))))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (.f64 f (PI.f64)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 1/41287680 (*.f64 (pow.f64 f 7) (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 (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 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 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 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 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 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 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 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (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 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (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 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (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 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (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 (.f64 f -1/4)) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (*.f64 1/12 f) (PI.f64)))
(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
(fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64)))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (/.f64 4 (.f64 f (PI.f64))) (-.f64 (.f64 (.f64 1/12 f) (PI.f64)) (.f64 (*.f64 1/2880 (pow.f64 f 3)) (pow.f64 (PI.f64) 3))))
(+.f64 (/.f64 4 (.f64 f (PI.f64))) (fma.f64 (.f64 f (PI.f64)) 1/12 (.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880)))
(fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))
(-.f64 (+.f64 (.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/12 f) (PI.f64)))) (.f64 -1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (/.f64 4 (.f64 f (PI.f64)))) (fma.f64 (.f64 f (PI.f64)) 1/12 (.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880)))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (*.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))))
(/.f64 (+.f64 (exp.f64 (neg.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (.f64 1/4 f) (PI.f64))
(.f64 f (.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 4 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 -4 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 (PI.f64) (.f64 f (.f64 f 1/12)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 7/5760 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)))))
(+.f64 (fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (.f64 -7/5760 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4))))
(fma.f64 (PI.f64) (.f64 f (.f64 f 1/12)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 4) -7/5760))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 31/1451520 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (.f64 31/1451520 (pow.f64 f 6)) (pow.f64 (PI.f64) 5)))) (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 7/5760 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)))))
(fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (+.f64 (.f64 (pow.f64 (PI.f64) 5) (.f64 31/1451520 (pow.f64 f 6))) (-.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 7/5760 (pow.f64 f 4))))))
(fma.f64 (PI.f64) (.f64 f (.f64 f 1/12)) (fma.f64 (pow.f64 (PI.f64) 5) (.f64 31/1451520 (pow.f64 f 6)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) -7/5760)))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.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))) (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 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.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))) (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 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.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))) (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 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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 (neg.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))) (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 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (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 (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 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (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 (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 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (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 (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 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (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 (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 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))

prune124.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	6	138

Error

1.6b

Counts

138 → 6

Alt Table

Status	Error	Program
	3.0b	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	2.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) 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) 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)))) (log1p.f64 (expm1.f64 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))))
	41.8b	(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)))) (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))))
	2.9b	(neg.f64 (-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 4 (/.f64 (log.f64 f) (PI.f64)))))

Compiler

Compiled 5554 to 4183 computations (24.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.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) 4) f))))))))
✓	1.5b	(log.f64 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))
✓	1.7b	(/.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) 4) f))))))
✓	5.5b	(exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

series123.0ms (0.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	f	@	-inf	(log.f64 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))
27.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
21.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
16.0ms	f	@	inf	(log.f64 (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))
3.0ms	f	@	0	(/.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) 4) f))))))

rewrite181.0ms (1.2%)

Algorithm

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

Rules

898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
897×	`log1p-expm1-u_binary64`
897×	`expm1-log1p-u_binary64`
194×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	410	52
0	11	13
1	216	13
2	2475	13
0	16	28
1	333	28
0	16	43
0	10	15
1	209	15
2	2468	15
0	20	37
1	410	37
0	20	55

Stop Event

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

Counts

4 → 55

Calls

Call 1

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-neg_binary64`
618×	`associate-r_binary64`
605×	`associate-l_binary64`
456×	`fma-def_binary64`
195×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1708
1	346	1687
2	1076	1673
3	4882	1673

Stop Event

1×	node limit

Counts

103 → 94

Calls

Call 1

Inputs
(.f64 1/2 (.f64 f (PI.f64)))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 1/2 (.f64 f (PI.f64))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (.f64 1/2 (.f64 f (PI.f64)))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))) (.f64 1/2 (.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 (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 (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 (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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64)))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (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)))) (/.f64 1 (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)))) (/.f64 1 (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)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))
(-.f64 (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(-.f64 (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (+.f64 (.f64 1/11612160 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) (log.f64 (.f64 1/2 (PI.f64)))))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(log.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 4 (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 31/1451520 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.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)))) (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)))) (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)))) (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)))) (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)))

Outputs
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 (.f64 1/2 f) (PI.f64))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 1/2 (.f64 f (PI.f64))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (.f64 (*.f64 1/2 f) (PI.f64)))
(fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (.f64 1/2 (.f64 f (PI.f64)))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 (.f64 1/2 f) (PI.f64))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 1/2 (.f64 f (PI.f64)) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))) (.f64 1/2 (.f64 f (PI.f64))))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)) (.f64 (*.f64 1/2 f) (PI.f64)))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (.f64 f (PI.f64)) (fma.f64 (pow.f64 (PI.f64) 7) (.f64 1/41287680 (pow.f64 f 7)) (.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (*.f64 1/12 f) (PI.f64)))
(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
(fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 f (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64)))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (/.f64 4 (.f64 f (PI.f64))) (-.f64 (.f64 (.f64 1/12 f) (PI.f64)) (.f64 (*.f64 1/2880 (pow.f64 f 3)) (pow.f64 (PI.f64) 3))))
(+.f64 (/.f64 4 (.f64 f (PI.f64))) (fma.f64 (.f64 f (PI.f64)) 1/12 (.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880)))
(fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))
(-.f64 (+.f64 (.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 1/12 f) (PI.f64)))) (.f64 -1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (/.f64 4 (.f64 f (PI.f64)))) (fma.f64 (.f64 f (PI.f64)) 1/12 (.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880)))
(fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))
(fma.f64 1/96 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))
(+.f64 (log.f64 (.f64 1/2 (PI.f64))) (fma.f64 (.f64 1/96 (*.f64 f f)) (pow.f64 (PI.f64) 2) (log.f64 f)))
(+.f64 (log.f64 (.f64 1/2 (PI.f64))) (fma.f64 1/96 (.f64 f (*.f64 f (pow.f64 (PI.f64) 2))) (log.f64 f)))
(-.f64 (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(+.f64 (fma.f64 1/96 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (.f64 -1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(fma.f64 (.f64 1/96 (.f64 f f)) (pow.f64 (PI.f64) 2) (+.f64 (log.f64 f) (-.f64 (log.f64 (.f64 1/2 (PI.f64))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) -1/46080 (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (fma.f64 1/96 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (log.f64 f))))
(-.f64 (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (+.f64 (.f64 1/11612160 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) (log.f64 (.f64 1/2 (PI.f64)))))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
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(fma.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) -1/46080 (fma.f64 1/96 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (.f64 1/2 (PI.f64))) (fma.f64 (pow.f64 (PI.f64) 6) (*.f64 1/11612160 (pow.f64 f 6)) (log.f64 f)))))
(log.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(log.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(log.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(log.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(log.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(log.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(log.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(log.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 4 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 -4 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 (PI.f64) (.f64 1/12 (.f64 f f)) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 7/5760 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)))))
(+.f64 (fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (.f64 -7/5760 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4))))
(fma.f64 (PI.f64) (.f64 1/12 (.f64 f f)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 4) -7/5760))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 31/1451520 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 31/1451520 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 f 6))))) (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 7/5760 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4)))))
(fma.f64 1/12 (.f64 f (.f64 f (PI.f64))) (+.f64 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 f 6) 31/1451520)) (-.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 7/5760)))))
(fma.f64 (PI.f64) (.f64 1/12 (.f64 f f)) (fma.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 f 6) 31/1451520) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) -7/5760)))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.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))) (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 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.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))) (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 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.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))) (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 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.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))) (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 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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)))) (/.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))) (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 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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)))) (/.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))) (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 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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)))) (/.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))) (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 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.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)))) (/.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))) (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 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))

prune121.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Error

1.6b

Counts

100 → 8

Alt Table

Status	Error	Program
	3.0b	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	2.2b	(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)))) (exp.f64 (/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (log.f64 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (-.f64 (log.f64 2) (log.f64 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))))
	2.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
	2.9b	(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)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)) (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.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)))) (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))))
	41.8b	(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)))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) 1/3)))))
	2.2b	(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)))) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 3)))))))
	2.9b	(neg.f64 (-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 4 (/.f64 (log.f64 f) (PI.f64)))))

Compiler

Compiled 4147 to 3186 computations (23.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.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)))) (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
✓	1.7b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
✓	5.8b	(pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))

series41.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	f	@	inf	(pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.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)))) (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.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)))) (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
5.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
2.0ms	f	@	0	(pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))

rewrite182.0ms (1.3%)

Algorithm

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

Rules

859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
518×	`log-prod_binary64`
278×	`pow2_binary64`
201×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	468	52
0	13	13
1	258	13
2	2688	13
0	21	28
1	449	28
0	21	46
0	22	30
1	468	30
0	22	48
0	10	15
1	204	15
2	2346	15

Stop Event

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

Counts

4 → 67

Calls

Call 1

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

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-r_binary64`
577×	`associate-l_binary64`
425×	`fma-def_binary64`
293×	`times-frac_binary64`
171×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1914
1	303	1749
2	996	1710

Stop Event

1×	node limit

Counts

115 → 109

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (pow.f64 (PI.f64) 2)))) (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))))
(+.f64 (.f64 1/30720 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 4) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64)))))))) (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64)))))))) (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64)))))))) (+.f64 (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (+.f64 (.f64 1/20643840 (.f64 (pow.f64 f 6) (.f64 (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (pow.f64 (PI.f64) 6)))) (.f64 1/30720 (.f64 (pow.f64 f 4) (.f64 (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))) (pow.f64 (PI.f64) 4)))))))
(-.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 (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 (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 (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 2 (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))))) (.f64 2 (/.f64 1 (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))))) (.f64 2 (/.f64 1 (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64)))))))) (.f64 1/5760 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))))) (+.f64 (.f64 2 (/.f64 1 (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))))) (.f64 1/967680 (/.f64 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))))))) (.f64 1/5760 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
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(/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (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)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
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(log.f64 (/.f64 2 (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 2 (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))))))
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(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 2 (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))))) (.f64 31/5806080 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))))) (.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
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(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))
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(-.f64 (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(-.f64 (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (+.f64 (.f64 1/11612160 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) (log.f64 (.f64 1/2 (PI.f64)))))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(log.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
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(log.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(log.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))

Outputs
(exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))))
(.f64 f (.f64 1/2 (PI.f64)))
(.f64 1/2 (.f64 f (PI.f64)))
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(fma.f64 1/96 (.f64 (.f64 f f) (.f64 (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (pow.f64 (PI.f64) 2))) (exp.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))))
(fma.f64 f (.f64 1/2 (PI.f64)) (.f64 1/96 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 f 3) (*.f64 1/2 (PI.f64))))))
(fma.f64 f (.f64 1/2 (PI.f64)) (.f64 1/96 (.f64 (pow.f64 f 3) (.f64 1/2 (pow.f64 (PI.f64) 3)))))
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(fma.f64 1/30720 (.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64)))))) (fma.f64 1/96 (.f64 (.f64 f f) (.f64 (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64))))) (pow.f64 (PI.f64) 2))) (exp.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (PI.f64)))))))
(fma.f64 1/30720 (.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (fma.f64 f (.f64 1/2 (PI.f64)) (.f64 1/96 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 f 3) (*.f64 1/2 (PI.f64)))))))
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(fma.f64 f (.f64 1/2 (PI.f64)) (fma.f64 1/96 (.f64 (pow.f64 f 3) (.f64 1/2 (pow.f64 (PI.f64) 3))) (.f64 (.f64 1/2 (.f64 f (PI.f64))) (+.f64 (.f64 1/20643840 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) (.f64 1/30720 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)))))))
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(log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))

prune173.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	108	9	117

Error

1.6b

Counts

117 → 9

Alt Table

Status	Error	Program
	2.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	2.1b	(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)))) (pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (log.f64 2)))))))
	3.0b	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	2.2b	(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)))) (exp.f64 (/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (log.f64 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (-.f64 (log.f64 2) (log.f64 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))))))
	2.9b	(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)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)) (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.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)))) (pow.f64 (exp.f64 1) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))))
	41.8b	(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)))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) 1/3)))))
	2.2b	(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)))) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 3)))))))
	2.9b	(neg.f64 (-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 4 (/.f64 (log.f64 f) (PI.f64)))))

Compiler

Compiled 5324 to 4099 computations (23% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(log.f64 (sinh.f64 (.f64 (PI.f64) (.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)))) (pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2)))))
✓	1.7b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2))))
✓	5.8b	(pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2)))

series194.0ms (1.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
98.0ms	f	@	inf	(pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2)))
41.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2)))))
24.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2)))))
22.0ms	f	@	-inf	(pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2)))
2.0ms	f	@	0	(pow.f64 (exp.f64 1) (+.f64 (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (log.f64 2)))

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

226×	`add-sqr-sqrt_binary64`
220×	`pow1_binary64`
219×	`*-un-lft-identity_binary64`
219×	`add-log-exp_binary64`
216×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	93
1	496	77

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

593×	`associate-r_binary64`
554×	`associate-l_binary64`
438×	`fma-def_binary64`
369×	`times-frac_binary64`
182×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	2356
1	302	2093
2	1029	1884

Stop Event

1×	node limit

Counts

152 → 145

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64))))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2)))) (.f64 1/30720 (.f64 (pow.f64 f 4) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 4))))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (+.f64 (.f64 1/20643840 (.f64 (pow.f64 f 6) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2)))) (.f64 1/30720 (.f64 (pow.f64 f 4) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 4)))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(/.f64 2 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))))
(+.f64 (.f64 2 (/.f64 1 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))))) (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))))) (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64))))))))) (.f64 1/5760 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))))) (.f64 1/967680 (/.f64 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)) (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))))))) (.f64 1/5760 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))))
(log.f64 (/.f64 2 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64))))))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 2 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))))))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 2 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64))))))))) (.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 (/.f64 2 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))))) (.f64 31/5806080 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))))) (.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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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(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(-.f64 (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(-.f64 (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (.f64 1/11612160 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)))))) (.f64 1/46080 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))
(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))

Outputs
(exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64))))))
(.f64 f (.f64 2 (exp.f64 (log.f64 (*.f64 1/4 (PI.f64))))))
(.f64 f (.f64 2 (*.f64 1/4 (PI.f64))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 (.f64 1/96 (.f64 f f)) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2))))
(fma.f64 f (.f64 2 (exp.f64 (log.f64 (.f64 1/4 (PI.f64))))) (.f64 1/96 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 f 3) (.f64 2 (exp.f64 (log.f64 (*.f64 1/4 (PI.f64)))))))))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 f (.f64 f 1/96))) 1) (.f64 f (.f64 2 (*.f64 1/4 (PI.f64)))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2)))) (.f64 1/30720 (.f64 (pow.f64 f 4) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 4))))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (fma.f64 1/96 (.f64 (.f64 f f) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2))) (.f64 1/30720 (.f64 (.f64 (pow.f64 f 4) (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64))))))) (pow.f64 (PI.f64) 4)))))
(fma.f64 f (.f64 2 (exp.f64 (log.f64 (.f64 1/4 (PI.f64))))) (fma.f64 1/96 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 f 3) (.f64 2 (exp.f64 (log.f64 (.f64 1/4 (PI.f64))))))) (.f64 (.f64 (.f64 1/30720 (pow.f64 f 4)) (.f64 f (.f64 2 (exp.f64 (log.f64 (.f64 1/4 (PI.f64))))))) (pow.f64 (PI.f64) 4))))
(fma.f64 f (.f64 2 (.f64 1/4 (PI.f64))) (.f64 (.f64 f (.f64 2 (.f64 1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 f (.f64 f 1/96))) (.f64 1/30720 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (+.f64 (.f64 1/20643840 (.f64 (pow.f64 f 6) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 1/96 (.f64 (pow.f64 f 2) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2)))) (.f64 1/30720 (.f64 (pow.f64 f 4) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (*.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 4)))))))
(+.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (fma.f64 1/20643840 (.f64 (pow.f64 f 6) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 6))) (fma.f64 1/96 (.f64 (.f64 f f) (.f64 (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64)))))) (pow.f64 (PI.f64) 2))) (.f64 1/30720 (.f64 (.f64 (pow.f64 f 4) (exp.f64 (+.f64 (log.f64 f) (+.f64 (log.f64 2) (log.f64 (.f64 1/4 (PI.f64))))))) (pow.f64 (PI.f64) 4))))))
(fma.f64 f (.f64 2 (exp.f64 (log.f64 (.f64 1/4 (PI.f64))))) (fma.f64 1/20643840 (.f64 (.f64 f (.f64 2 (exp.f64 (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) (fma.f64 1/96 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 f 3) (.f64 2 (exp.f64 (log.f64 (.f64 1/4 (PI.f64))))))) (.f64 (.f64 (.f64 1/30720 (pow.f64 f 4)) (.f64 f (.f64 2 (exp.f64 (log.f64 (*.f64 1/4 (PI.f64))))))) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 (.f64 f (.f64 2 (.f64 1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 f (.f64 f 1/96))) (.f64 1/30720 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))) (.f64 (+.f64 (.f64 1/20643840 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) 1) (.f64 f (.f64 2 (*.f64 1/4 (PI.f64))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
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(.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
(.f64 2 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
(.f64 2 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
(.f64 2 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
(.f64 2 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))))
(.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(exp.f64 (+.f64 (log.f64 2) (log.f64 (.f64 1/2 (-.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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(log.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))
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(log.f64 (.f64 1/2 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(log.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))

prune260.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	3	4	7
Picked	1	0	1
Done	1	0	1
Total	144	10	154

Error

1.5b

Counts

154 → 10

Alt Table

Status	Error	Program
	3.0b	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	2.6b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (.f64 (/.f64 1 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))))
	2.2b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (log.f64 (.f64 (/.f64 1 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3))))
	2.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 (/.f64 4 (PI.f64)) f)))))
	2.9b	(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)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)) (cbrt.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))))))
	2.8b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 1 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2) (cbrt.f64 (log.f64 (.f64 (/.f64 1 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))))
	2.6b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 (/.f64 1 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) 1)))
	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) 2)))))
	2.1b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2)) (log.f64 (cbrt.f64 (.f64 (/.f64 1 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))))
	2.9b	(neg.f64 (-.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 4 (/.f64 (log.f64 f) (PI.f64)))))

Compiler

Compiled 6077 to 4792 computations (21.1% saved)

regimes406.0ms (2.8%)

Accuracy

Total 0.5b remaining (23.5%)

Threshold costs 0.5b (23.5%)

Counts

118 → 1

Compiler

Compiled 3889 to 3020 computations (22.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	59
1	47	57
2	69	57
3	81	57
4	87	57
5	88	57

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

end233.0ms (1.6%)

Stop Event

1×

fuel

Compiler

Compiled 371 to 308 computations (17% saved)

Details

analyze1.4s (9.5%)

sample10.5s (72.1%)

preprocess34.0ms (0.2%)

simplify24.0ms (0.2%)

prune4.0ms (0%)

localize12.0ms (0.1%)

series80.0ms (0.5%)

rewrite158.0ms (1.1%)

simplify49.0ms (0.3%)

prune124.0ms (0.8%)

localize17.0ms (0.1%)

series123.0ms (0.8%)

rewrite181.0ms (1.2%)

simplify68.0ms (0.5%)

prune121.0ms (0.8%)

localize22.0ms (0.1%)

series41.0ms (0.3%)

rewrite182.0ms (1.3%)

simplify54.0ms (0.4%)

prune173.0ms (1.2%)

localize28.0ms (0.2%)

series194.0ms (1.3%)

rewrite51.0ms (0.3%)

simplify52.0ms (0.4%)

prune260.0ms (1.8%)

regimes406.0ms (2.8%)

simplify4.0ms (0%)

end233.0ms (1.6%)

Profiling