Details

analyze342.0ms (1.6%)

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample11.6s (55.6%)

Results

3.6s	4040×	body	1024	valid
3.1s	3941×	body	1024	invalid
1.3s	2030×	body	512	valid
1.2s	1979×	body	512	invalid
1.0s	1651×	body	256	valid
837.0ms	535×	body	2048	valid
379.0ms	990×	body	256	invalid
5.0ms	3×	body	2048	invalid

preprocess76.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

60.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.6b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
▶	60.6b	(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

▶

60.6b

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

▶

60.6b

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

Compiler

Compiled 71 to 54 computations (23.9% saved)

localize78.0ms (0.4%)

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)))))))
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	1.3b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	5.8b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 197 to 144 computations (26.9% saved)

series106.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
60.0ms	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)))))))
4.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
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	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

rewrite253.0ms (1.2%)

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`
560×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	354	52
2	6024	52
0	10	13
1	225	13
2	3658	13
0	10	13
0	12	28
1	277	28
2	4901	28
0	12	28
0	6	8
1	130	8
2	1559	8
0	16	37
1	354	37
2	6019	37
0	16	37

Stop Event

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

Counts

4 → 48

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

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

770×	`times-frac_binary64`
609×	`fma-def_binary64`
348×	`associate-/l*_binary64`
321×	`distribute-rgt-in_binary64`
319×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1727
1	419	1593
2	1669	1443

Stop Event

1×	node limit

Counts

96 → 77

Calls

Call 1

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

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

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
✓	0.1b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
✓	1.3b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
✓	5.3b	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))

Compiler

Compiled 146 to 94 computations (35.6% saved)

series128.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
32.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
25.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
18.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
2.0ms	f	@	0	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))

rewrite150.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	133
1	397	133
2	5452	133

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

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

Outputs
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simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

740×	`times-frac_binary64`
709×	`fma-def_binary64`
345×	`associate-/l*_binary64`
321×	`distribute-rgt-in_binary64`
319×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1787
1	457	1649
2	1788	1497

Stop Event

1×	node limit

Counts

275 → 265

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
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(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (PI.f64)))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(.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)))
(.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)))
1
(+.f64 1 (.f64 -1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 -1/4 (.f64 f (PI.f64)))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 -1/4 (.f64 f (PI.f64))))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))

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

eval361.0ms (1.7%)

Compiler: Compiled 20592 to 13824 computations (32.9% saved)

prune74.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	422	10	432
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	424	10	434

Error

1.5b

Counts

434 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.7b	(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)
	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 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
	2.7b	(.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 (.f64 1/192 (.f64 2 (PI.f64))) 1/2) -2 (.f64 1/16 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
▶	2.2b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))))
	2.7b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
▶	2.9b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4)))))
	2.9b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4)))))
	2.4b	(neg.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4)))))
▶	3.0b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
▶	2.1b	(neg.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4)))

Compiler

Compiled 544 to 434 computations (20.2% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 125 to 80 computations (36% saved)

series64.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4))
23.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4))
5.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4))
3.0ms	f	@	0	(/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))
2.0ms	f	@	-inf	(/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`log-prod_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
267×	`log-div_binary64`
247×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	352	82
2	4755	51

Stop Event

1×	node limit

Counts

4 → 239

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (cbrt.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (.f64 2 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))))) 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simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	3152
1	530	2528
2	2382	1981

Stop Event

1×	node limit

Counts

287 → 269

Calls

Call 1

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

series119.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
86.0ms	f	@	0	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
19.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
12.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(/.f64 (/.f64 4 (PI.f64)) f)
0.0ms	f	@	0	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

125 → 97

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.4b	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 43 to 28 computations (34.9% saved)

series47.0ms (0.2%)

Counts

3 → 16

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
16.0ms	f	@	-inf	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
8.0ms	f	@	inf	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms	f	@	-inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite146.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`prod-diff_binary64`
499×	`log-prod_binary64`
290×	`pow-prod-down_binary64`
266×	`pow2_binary64`
202×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	203	31
2	2867	31

Stop Event

1×	node limit

Counts

3 → 337

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-neg_binary64`
830×	`div-sub_binary64`
608×	`sub-neg_binary64`
343×	`unsub-neg_binary64`
326×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	288
1	50	224
2	111	224
3	318	224
4	939	224
5	2944	224
6	6254	224
7	7738	224

Stop Event

1×	node limit

Counts

353 → 343

Calls

Call 1

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

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

localize79.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 174 to 115 computations (33.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`log-prod_binary64`
315×	`expm1-udef_binary64`
315×	`log1p-udef_binary64`
270×	`log-div_binary64`
262×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	34
1	377	31
2	4952	19

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) 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simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-r_binary64`
640×	`associate-l_binary64`
631×	`fma-def_binary64`
436×	`distribute-rgt-in_binary64`
434×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1169
1	390	941
2	1609	717

Stop Event

1×	node limit

Counts

71 → 69

Calls

Call 1

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

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
✓	1.5b	(/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))
✓	1.7b	(log.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f)))))))
✓	5.6b	(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Compiler

Compiled 174 to 135 computations (22.4% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
1.0ms	f	@	0	(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
1.0ms	f	@	0	(log.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms	f	@	0	(/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))
0.0ms	f	@	inf	(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

rewrite159.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`log-prod_binary64`
523×	`prod-diff_binary64`
299×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
255×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	111
1	365	99
2	4745	59

Stop Event

1×	node limit

Counts

4 → 302

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f)))))))
(/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (.f64 (/.f64 (PI.f64) 4) f))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (.f64 2 (sinh.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
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simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	3969
1	530	3167
2	2378	2483

Stop Event

1×	node limit

Counts

350 → 262

Calls

Call 1

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

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

eval843.0ms (4%)

Compiler: Compiled 39381 to 28413 computations (27.9% saved)

prune184.0ms (0.9%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	1204	23	1227
Fresh	4	1	5
Picked	1	0	1
Done	3	1	4
Total	1212	25	1237

Error

0.2b

Counts

1237 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.8b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	3.0b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
	3.0b	(fma.f64 -4 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) 0)
	0.7b	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
	2.7b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	63.1b	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
▶	0.7b	(neg.f64 (/.f64 (.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (*.f64 (PI.f64) 1/4)))
	12.6b	(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))))
	0.7b	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
	3.8b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	0.9b	(neg.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1)) (*.f64 (PI.f64) 1/4)))
	0.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (.f64 2 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
	3.0b	(.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))
	0.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))))
	3.8b	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	3.3b	(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (/.f64 -4 (PI.f64)))
	0.9b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)) 3)))
✓	3.0b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	3.8b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))))
	2.8b	(.f64 (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 -4 (PI.f64)))
▶	3.8b	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))
	0.6b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))
	3.0b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
▶	62.9b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
▶	0.6b	(neg.f64 (/.f64 (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4)))

Compiler

Compiled 695 to 597 computations (14.1% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))
✓	0.1b	(sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
✓	0.3b	(.f64 (PI.f64) (.f64 f 1/4))
✓	0.4b	(/.f64 (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4))

Compiler

Compiled 88 to 67 computations (23.9% saved)

series64.0ms (0.3%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	f	@	-inf	(/.f64 (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4))
22.0ms	f	@	inf	(/.f64 (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4))
5.0ms	f	@	0	(/.f64 (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4))
1.0ms	f	@	0	(sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
1.0ms	f	@	0	(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`log-prod_binary64`
261×	`pow1/3_binary64`
258×	`log1p-udef_binary64`
257×	`expm1-udef_binary64`
238×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	314	49
2	4377	49

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

Inputs
(/.f64 (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64)))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 2 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 1 (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (PI.f64)) (.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 4) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1/4) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) 1/4) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1) (/.f64 2 (.f64 (PI.f64) 1/4)))))) 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simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-def_binary64`
489×	`distribute-rgt-out_binary64`
458×	`associate-l_binary64`
438×	`associate-r_binary64`
362×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1673
1	239	1511
2	903	1456
3	4767	1389

Stop Event

1×	node limit

Counts

210 → 182

Calls

Call 1

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	217	35
2	2790	35

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	492
1	56	468
2	104	468
3	251	468
4	700	468
5	1952	468
6	5285	468
7	7398	468

Stop Event

1×	node limit

Counts

211 → 183

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 (PI.f64) f))
✓	0.1b	(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
	0.3b	(*.f64 (PI.f64) f)
✓	0.4b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series49.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	f	@	0	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
15.0ms	f	@	-inf	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
7.0ms	f	@	inf	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
0.0ms	f	@	inf	(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`log-prod_binary64`
394×	`prod-diff_binary64`
375×	`pow-prod-down_binary64`
292×	`pow2_binary64`
205×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	237	34
2	3055	34

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) 1 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) f))) 2) (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (+.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) f))) (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 -1 (log.f64 (*.f64 (PI.f64) f)) (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 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simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-neg_binary64`
782×	`div-sub_binary64`
461×	`fma-def_binary64`
387×	`sub-neg_binary64`
332×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	528
1	74	528
2	169	528
3	430	528
4	1509	528
5	4800	528

Stop Event

1×	node limit

Counts

216 → 190

Calls

Call 1

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

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

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 72 computations (22.6% saved)

series224.0ms (1.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
162.0ms	f	@	inf	(.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
49.0ms	f	@	-inf	(.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
4.0ms	f	@	0	(.f64 3 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
3.0ms	f	@	0	(.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
2.0ms	f	@	0	(/.f64 (.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (*.f64 (PI.f64) 1/4))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`log-prod_binary64`
266×	`pow1/3_binary64`
264×	`log1p-udef_binary64`
263×	`expm1-udef_binary64`
240×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	341	46
2	4503	46

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 f 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (log.f64 (/.f64 1 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 2))) (log.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 f 1/4)))))))))) (#(struct:change #<rule 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simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

478×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
427×	`associate-+l+_binary64`
415×	`*-commutative_binary64`
330×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	2795
1	541	2286
2	2362	1962

Stop Event

1×	node limit

Counts

176 → 169

Calls

Call 1

Inputs
(.f64 -1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
(+.f64 (.f64 -1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 -1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 -1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (+.f64 (.f64 -2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (.f64 -1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/3072 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (.f64 -48 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
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(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -3 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
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(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
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Outputs
(.f64 -1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
(neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 1/4 (PI.f64))))
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(neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 1/4 (PI.f64))))
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(fma.f64 -1/2 (.f64 (.f64 f f) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2)))) (-.f64 (.f64 (/.f64 f (PI.f64)) 0) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
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(fma.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) -3 (.f64 (/.f64 f (PI.f64)) 0))
(fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) -3 0)
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(fma.f64 (.f64 (.f64 f f) (fma.f64 8 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/32) -1/8) (.f64 (pow.f64 (PI.f64) 3) -7/768)) (PI.f64)) 0)) -3/2 (fma.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) -3 (.f64 (pow.f64 f 3) (.f64 -1/2 (fma.f64 24 (/.f64 (fma.f64 1/2 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 1/1024) (+.f64 (.f64 (PI.f64) (.f64 -1/4 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/192)))) (.f64 (pow.f64 (PI.f64) 4) -1/3072))) (.f64 (PI.f64) (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/128)) 1/8))) (PI.f64)) 0)))))
(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))) -3)
(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))) -3)
(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))) -3)
(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))) -3)
(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))) -3)
(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))) -3)
(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))) -3)
(.f64 -3 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) -3)
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (+.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4) (pow.f64 (exp.f64 (*.f64 f (PI.f64))) -1/4)))) -3)

localize90.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 32 computations (38.5% saved)

series22.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	f	@	inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)
5.0ms	f	@	0	(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)
4.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)
2.0ms	f	@	0	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))
2.0ms	f	@	-inf	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
300×	`pow2_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	282	39
2	3086	39

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs

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fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1/6) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1) 1))))))

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

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

317×	`distribute-rgt-neg-out_binary64`
299×	`distribute-rgt-in_binary64`
287×	`distribute-lft-neg-out_binary64`
283×	`distribute-lft-in_binary64`
267×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	772
1	111	616
2	221	576
3	714	576
4	3228	576
5	7865	576

Stop Event

1×	node limit

Counts

169 → 147

Calls

Call 1

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

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

eval584.0ms (2.8%)

Compiler: Compiled 19875 to 14407 computations (27.5% saved)

prune187.0ms (0.9%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	930	19	949
Fresh	11	8	19
Picked	0	1	1
Done	2	3	5
Total	943	31	974

Error

0.2b

Counts

974 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	3.8b	(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	3.0b	(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
✓	2.8b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	2.8b	(.f64 (-.f64 (log.f64 4) (.f64 1/3 (.f64 3 (log.f64 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	63.1b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
	3.3b	(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (/.f64 -4 (PI.f64)))
	12.5b	(neg.f64 (log.f64 (/.f64 1 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (/.f64 4 (PI.f64))))))
	3.0b	(fma.f64 -4 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) 0)
	0.7b	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
	2.7b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	59.3b	(neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))
▶	0.7b	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
	62.9b	(/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (*.f64 (PI.f64) 1/4))
	0.9b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)) 3)))
	3.0b	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
▶	62.9b	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
	3.0b	(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4)))
✓	0.6b	(neg.f64 (/.f64 (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (.f64 (PI.f64) 1/4)))
	62.9b	(/.f64 (neg.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) 1/4))
✓	3.0b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	3.8b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))))
	13.3b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
	2.8b	(+.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 4)) (.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))
	2.8b	(.f64 (neg.f64 (log.f64 (/.f64 (.f64 (PI.f64) f) 4))) (/.f64 -4 (PI.f64)))
	62.9b	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (PI.f64) 1/4))
▶	3.1b	(.f64 (.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓	3.8b	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))
▶	0.6b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))
▶	3.8b	(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	3.1b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	0.9b	(neg.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1)) (*.f64 (PI.f64) 1/4)))

Compiler

Compiled 812 to 690 computations (15% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 37 computations (28.8% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite113.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`log-prod_binary64`
351×	`pow-prod-down_binary64`
323×	`pow2_binary64`
232×	`pow-unpow_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	243	31
2	3219	31

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

723×	`associate-r_binary64`
712×	`associate-l_binary64`
709×	`fma-def_binary64`
336×	`distribute-rgt-in_binary64`
334×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1901
1	390	1591
2	1611	1325

Stop Event

1×	node limit

Counts

117 → 112

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -48 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/3072 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3)))))) (PI.f64))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(+.f64 (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (+.f64 (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (+.f64 (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (+.f64 (log.f64 f) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -48 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/3072 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))))))) (log.f64 (*.f64 1/4 (PI.f64)))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (/.f64 (-.f64 (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))))))))

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

localize37.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	177	14
2	2402	14

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify217.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1882×	`fma-neg_binary64`
588×	`div-sub_binary64`
393×	`fma-def_binary64`
340×	`sub-neg_binary64`
323×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	216
1	38	192
2	62	192
3	161	192
4	400	192
5	962	192
6	2172	192
7	3784	192
8	4584	192
9	4792	192
10	4853	192
11	4875	192
12	4890	192
13	6966	192
14	7510	192
15	7631	192
16	7874	192

Stop Event

1×	node limit

Counts

45 → 37

Calls

Call 1

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

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 42 computations (25% saved)

series60.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
54.0ms	f	@	0	(.f64 (.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
1.0ms	f	@	inf	(*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
1.0ms	f	@	-inf	(*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
1.0ms	f	@	0	(.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary64`
327×	`pow-prod-down_binary64`
305×	`pow2_binary64`
248×	`pow-unpow_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	306	40
2	3592	40

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 (PI.f64)) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (log.f64 (/.f64 1 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -4 (PI.f64))) (neg.f64 (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 1 (neg.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 -4 (PI.f64))))) (log.f64 (*.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (/.f64 1 f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))) (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 (/.f64 -4 (PI.f64))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 -4 (PI.f64)))) (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 2 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)) (/.f64 -4 (PI.f64)))) (neg.f64 (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)) 1)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3/2)) (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (*.f64 (/.f64 4 (*.f64 (PI.f64) f)) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 5/2)) (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)) 4)) (log.f64 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)) (/.f64 -4 (PI.f64)))) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)) (/.f64 -4 (PI.f64)))) (log.f64 (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)) 1)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))) 1))))))

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

596×	`div-sub_binary64`
591×	`distribute-rgt-in_binary64`
419×	`sub-neg_binary64`
413×	`unsub-neg_binary64`
404×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	588
1	74	552
2	147	552
3	324	552
4	895	552
5	2440	552
6	5704	552

Stop Event

1×	node limit

Counts

170 → 146

Calls

Call 1

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

Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 4 (PI.f64)))
(.f64 3 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(.f64 3 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(.f64 3 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(.f64 3 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) 3)
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3)

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 45 computations (27.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
357×	`pow-prod-down_binary64`
323×	`pow2_binary64`
264×	`pow-unpow_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	272	19
2	3538	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 40

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64)))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 -8 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -48 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/3072 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3)))))) (PI.f64))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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Outputs
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(/.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
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(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 0)
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(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 35 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.0ms	f	@	-inf	(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
1.0ms	f	@	inf	(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
0.0ms	f	@	-inf	(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
392×	`exp-prod_binary64`
286×	`pow-prod-down_binary64`
261×	`pow2_binary64`
184×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	239	27
2	3072	27

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs

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simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

158 → 141

Calls

Call 1

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

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

eval533.0ms (2.6%)

Compiler: Compiled 17969 to 13375 computations (25.6% saved)

prune135.0ms (0.6%)

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	854	9	863
Fresh	7	15	22
Picked	0	1	1
Done	2	6	8
Total	863	31	894

Error

0.0b

Counts

894 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	3.8b	(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓	2.8b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	12.6b	(neg.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64)))))
	2.8b	(.f64 (neg.f64 (log.f64 (/.f64 (.f64 (PI.f64) f) 4))) (/.f64 -4 (PI.f64)))
	2.8b	(.f64 (-.f64 (log.f64 4) (.f64 1/3 (.f64 3 (log.f64 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	43.7b	(.f64 (.f64 1/3 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))) (/.f64 -4 (PI.f64)))
	63.1b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
	3.1b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	59.1b	(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 (PI.f64) 1/4))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 (PI.f64) 1/4))))) (*.f64 (PI.f64) -1/4)))
	12.5b	(neg.f64 (log1p.f64 (-.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64))) 1)))
	0.9b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)) 3)))
	3.0b	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
✓	62.9b	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 4)
	3.0b	(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4)))
	62.9b	(/.f64 (neg.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4))) (*.f64 (PI.f64) 1/4))
✓	3.0b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	3.8b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))))
	3.0b	(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
	0.6b	(neg.f64 (/.f64 (.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (PI.f64) -1/4)))
	13.3b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
	2.8b	(+.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 4)) (.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))
✓	3.1b	(.f64 (.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓	3.8b	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))
	59.4b	(neg.f64 (/.f64 (log1p.f64 (-.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))) 1)) (*.f64 (PI.f64) -1/4)))
✓	0.6b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))
✓	3.8b	(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	3.0b	(fma.f64 -4 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) 0)
	2.7b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	62.9b	(/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (*.f64 (PI.f64) 1/4))
	0.7b	(neg.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))))
	62.9b	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (PI.f64) 1/4))

Compiler

Compiled 425 to 360 computations (15.3% saved)

regimes193.0ms (0.9%)

Counts

63 → 1

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (PI.f64) -1/4)))

Calls

7 calls:

39.0ms	f
37.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
37.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
11.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
10.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

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

Compiler

Compiled 1162 to 864 computations (25.6% saved)

regimes47.0ms (0.2%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.6b	1	`f`

Compiler

Compiled 582 to 423 computations (27.3% saved)

regimes22.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.7b	1	`f`

Compiler

Compiled 256 to 177 computations (30.9% saved)

regimes20.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
2.7b	1	`f`

Compiler

Compiled 244 to 168 computations (31.1% saved)

regimes19.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
2.8b	1	`f`

Compiler

Compiled 233 to 161 computations (30.9% saved)

regimes7.0ms (0%)

Accuracy

Total -60.0b remaining (-2031.2%)

Threshold costs -60.0b (-2031.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
3.0b	1	`f`

Compiler

Compiled 53 to 37 computations (30.2% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
13×	`+-commutative_binary64`
13×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	123
1	74	117
2	110	117
3	132	117
4	142	117
5	145	117
6	146	117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (PI.f64) -1/4)))
(/.f64 (neg.f64 (.f64 2 (log.f64 (sqrt.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))) (.f64 (PI.f64) -1/4))
(/.f64 (.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) -2) (.f64 (PI.f64) -1/4))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (*.f64 (PI.f64) -1/4))
(neg.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))))
(.f64 (neg.f64 (/.f64 -4 (PI.f64))) (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
(.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 (neg.f64 (log.f64 (/.f64 (.f64 (PI.f64) f) 4))) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (.f64 f (PI.f64)) 4))))
(.f64 (log.f64 (/.f64 (.f64 f (PI.f64)) 4)) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 f (PI.f64)) 4)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))

Compiler

Compiled 74 to 62 computations (16.2% saved)

soundness0.0ms (0%)

end55.0ms (0.3%)

Compiler: Compiled 69 to 52 computations (24.6% saved)