Details

analyze316.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample10.8s (49.7%)

Results

3.7s	3993×	body	1024	valid
3.2s	4008×	body	1024	invalid
1.3s	2080×	body	512	valid
1.0s	2014×	body	512	invalid
765.0ms	495×	body	2048	valid
494.0ms	1688×	body	256	valid
265.0ms	966×	body	256	invalid
2.0ms	2×	body	2048	invalid
1.0ms	5×	body	256	unsamplable

Bogosity

preprocess64.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

60.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	60.9b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

60.9b

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

▶

60.9b

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

Compiler

Compiled 71 to 54 computations (23.9% saved)

localize92.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(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)
✓	1.0b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	6.4b	(-.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)

series87.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
36.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms	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)))))
2.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

rewrite197.0ms (0.9%)

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

Stop Event

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

Counts

4 → 50

Calls

Call 1

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

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

98 → 78

Calls

Call 1

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

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

localize67.0ms (0.3%)

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	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))
✓	1.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
✓	6.1b	(-.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)

series106.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
23.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))
21.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))
16.0ms	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)))

rewrite165.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
656×	`prod-diff_binary64`
283×	`fma-def_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	126
1	331	126
2	4623	126

Stop Event

1×	node limit

Counts

4 → 291

Calls

Call 1

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

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

Algorithm

1×	egg-herbie

Rules

787×	`fma-def_binary64`
669×	`times-frac_binary64`
358×	`associate-+l+_binary64`
341×	`distribute-rgt-in_binary64`
339×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1660
1	425	1534
2	1776	1402

Stop Event

1×	node limit

Counts

339 → 328

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))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(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)))))))
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 (PI.f64) (.f64 f 1/2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (PI.f64) (*.f64 f 1/2)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))
(fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (fma.f64 (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 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 (PI.f64) 7) (.f64 1/41287680 (pow.f64 f 7)) (.f64 (PI.f64) (*.f64 f 1/2)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
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(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
1
(+.f64 1 (.f64 -1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 (.f64 -1/4 f) (PI.f64)) 1)
(fma.f64 (*.f64 -1/4 f) (PI.f64) 1)
(fma.f64 (PI.f64) (*.f64 -1/4 f) 1)
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 -1/4 (.f64 f (PI.f64)))))
(fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 (.f64 (.f64 -1/4 f) (PI.f64)) 1))
(fma.f64 1/32 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 (*.f64 -1/4 f) (PI.f64) 1))
(fma.f64 (PI.f64) (.f64 -1/4 f) (fma.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 2) 1/32) 1))
(+.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))))))
(fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (fma.f64 -1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (.f64 (*.f64 -1/4 f) (PI.f64)))))
(+.f64 (fma.f64 1/32 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 (.f64 -1/4 f) (PI.f64) 1)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) -1/384)))
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 f f) 1/32) (fma.f64 (PI.f64) (.f64 -1/4 f) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 3) -1/384) 1)))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))

eval578.0ms (2.7%)

Compiler: Compiled 24569 to 16405 computations (33.2% saved)

prune138.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	485	14	499
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	487	14	501

Error

1.7b

Counts

501 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	2.3b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
	61.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (log.f64 (exp.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
	2.3b	(.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (.f64 1/192 (.f64 2 (PI.f64))) 1/2) -2)) 0) (.f64 (.f64 f f) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
▶	2.3b	(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
▶	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
	2.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
▶	2.7b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	2.2b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
	2.8b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
▶	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
	2.6b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	60.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
	2.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))

Compiler

Compiled 968 to 800 computations (17.4% saved)

localize127.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))
✓	0.3b	(.f64 (.f64 (PI.f64) 1/4) f)
✓	0.4b	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))
✓	1.2b	(/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))

Compiler

Compiled 159 to 123 computations (22.6% saved)

series118.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))
41.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))
9.0ms	f	@	0	(/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
6.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))
4.0ms	f	@	inf	(/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))

rewrite198.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`log-prod_binary64`
297×	`expm1-udef_binary64`
297×	`log1p-udef_binary64`
248×	`log-pow_binary64`
223×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	94
1	411	85
2	4791	54

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

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

simplify144.0ms (0.7%)

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	3188
1	530	2564
2	2382	2017

Stop Event

1×	node limit

Counts

280 → 263

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

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

series270.0ms (1.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
159.0ms	f	@	0	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
80.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
27.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(/.f64 (/.f64 4 (PI.f64)) f)
0.0ms	f	@	-inf	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify110.0ms (0.5%)

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))

localize128.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	0.4b	(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
✓	1.0b	(fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (.f64 1/192 (.f64 2 (PI.f64))) 1/2) -2))
✓	1.0b	(.f64 1/192 (.f64 2 (PI.f64)))

Compiler

Compiled 128 to 101 computations (21.1% saved)

series12.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))

4.0ms

(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))

3.0ms

-inf

(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`prod-diff_binary64`
355×	`expm1-udef_binary64`
355×	`log1p-udef_binary64`
282×	`log-pow_binary64`
213×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	454	55
2	5511	51

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs

(*.f64 1/192 (*.f64 2 (PI.f64)))

(fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2))

(*.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (*.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/96))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/96) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/96) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/96)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/96)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9216 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/96) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/96))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/96) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/96)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/96)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) 1/96)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/96)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) (*.f64 1/8 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 (PI.f64)) (*.f64 (*.f64 (PI.f64) 1/96) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/8 (PI.f64)) 1) (*.f64 (*.f64 (PI.f64) 1/96) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))) (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/8 (PI.f64)) 3) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) 3)) (fma.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/8 (PI.f64)) (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) 2) (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 (*.f64 (PI.f64) 1/96) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4) 2)) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 (*.f64 (PI.f64) 1/96) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4)) (exp.f64 (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4))) (exp.f64 (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/8 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) 1/96) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) -4)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) 4) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) 1/96) -4 (*.f64 1/8 (PI.f64))) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 1))))))

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-l_binary64`
575×	`associate-r_binary64`
558×	`fma-neg_binary64`
370×	`associate-/r*_binary64`
294×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	674
1	254	601
2	871	574
3	5488	569

Stop Event

1×	node limit

Counts

75 → 87

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (PI.f64)))) (.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (PI.f64)))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 2)))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3)))))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4)))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4)))))))

Outputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -1 (.f64 (.f64 f f) (.f64 (PI.f64) 1/12)) (.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (.f64 f f) (*.f64 (PI.f64) -1/12)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 f (.f64 f (*.f64 (PI.f64) -1/12))))
(+.f64 (.f64 -1 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (PI.f64)))) (.f64 -4 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(fma.f64 -1 (.f64 (.f64 f f) (.f64 (PI.f64) 1/12)) (fma.f64 1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (.f64 (PI.f64) 1/12) 2))) (*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(+.f64 (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (.f64 f f) (.f64 (PI.f64) -1/12))) (.f64 (.f64 (pow.f64 f 4) (pow.f64 (.f64 (PI.f64) 1/12) 2)) (*.f64 (PI.f64) 1/8)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 (.f64 f f) (.f64 (PI.f64) -1/12) (.f64 1/8 (.f64 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) 1/144))))
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(fma.f64 -1 (.f64 (.f64 f f) (.f64 (PI.f64) 1/12)) (fma.f64 1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (.f64 (PI.f64) 1/12) 2))) (fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (.f64 -1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 (.f64 f f) (.f64 (PI.f64) -1/12)) (fma.f64 1/8 (.f64 (PI.f64) (.f64 (pow.f64 f 4) (pow.f64 (.f64 (PI.f64) 1/12) 2))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 -1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 2)))))))
(fma.f64 (.f64 f f) (.f64 (PI.f64) -1/12) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 1/8 (.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) 1/144) (.f64 (PI.f64) (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/1728) (.f64 -1/48 (pow.f64 f 6)))))))
(fma.f64 (.f64 f f) (.f64 (PI.f64) -1/12) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 1/8 (.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) 1/144) (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/12) 1/144) (.f64 -1/48 (pow.f64 f 6))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (neg.f64 (/.f64 16 (.f64 (.f64 f f) (.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -16 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 3) 1/12))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -16 (.f64 f (.f64 f (.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192))
(-.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3)))))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(-.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3))))) (/.f64 16 (.f64 (.f64 f f) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -16 (.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 -16 (.f64 f (.f64 f (.f64 (pow.f64 (PI.f64) 3) 1/12))))) (/.f64 32 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/144) (*.f64 (PI.f64) (pow.f64 f 4)))))
(+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 1/12 (.f64 (pow.f64 (PI.f64) 5) 1/12)))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (.f64 (/.f64 (/.f64 1 (.f64 f f)) (pow.f64 (PI.f64) 3)) -192)))
(-.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4)))))))
(-.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64)) (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3))))) (+.f64 (/.f64 16 (.f64 (.f64 f f) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))) (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3))))) (-.f64 (/.f64 -16 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 3) 1/12))) (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (-.f64 (+.f64 (/.f64 32 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/144) (.f64 (PI.f64) (pow.f64 f 4)))) (/.f64 -16 (.f64 f (.f64 f (.f64 (pow.f64 (PI.f64) 3) 1/12))))) (/.f64 256/3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/1728 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 4)))))))
(+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 1/12 (.f64 (pow.f64 (PI.f64) 5) 1/12)))) (+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)) (/.f64 (/.f64 -1 (pow.f64 f 6)) (/.f64 (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 3)) 147456))) (.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (neg.f64 (/.f64 16 (.f64 (.f64 f f) (.f64 (*.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 3) 1/12))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (.f64 f (.f64 f (.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (.f64 (/.f64 (/.f64 1 (*.f64 f f)) (pow.f64 (PI.f64) 3)) -192))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))))
(+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)) (neg.f64 (/.f64 16 (.f64 (.f64 f f) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))))))
(+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) 3) 1/12)))))
(+.f64 (/.f64 32 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/144) (.f64 (PI.f64) (pow.f64 f 4)))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (.f64 f (.f64 f (*.f64 (pow.f64 (PI.f64) 3) 1/12))))))
(+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 1/12 (.f64 (pow.f64 (PI.f64) 5) 1/12)))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (.f64 (/.f64 (/.f64 1 (.f64 f f)) (pow.f64 (PI.f64) 3)) -192)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2) (pow.f64 (PI.f64) 3))))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (PI.f64) 2))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3) (pow.f64 (PI.f64) 4)))))))
(-.f64 (+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (.f64 (PI.f64) 1/12))) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))) (+.f64 (/.f64 16 (.f64 (.f64 f f) (.f64 (.f64 (PI.f64) 1/12) (pow.f64 (PI.f64) 2)))) (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))))
(+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2) (pow.f64 (PI.f64) 3)))) (-.f64 (fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -16 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 3) 1/12)))) (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (-.f64 (+.f64 (/.f64 32 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/144) (.f64 (PI.f64) (pow.f64 f 4)))) (/.f64 -16 (.f64 f (.f64 f (.f64 (pow.f64 (PI.f64) 3) 1/12))))) (/.f64 256/3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/1728 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 4)))))))
(+.f64 (/.f64 32 (.f64 (pow.f64 f 4) (.f64 1/12 (.f64 (pow.f64 (PI.f64) 5) 1/12)))) (+.f64 (.f64 (/.f64 (/.f64 1 (.f64 f f)) (pow.f64 (PI.f64) 3)) -192) (fma.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (/.f64 (/.f64 -1 (pow.f64 f 6)) (/.f64 (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 3)) 147456)))))

localize237.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
✓	0.6b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
✓	1.0b	(log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
✓	1.2b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))

Compiler

Compiled 210 to 158 computations (24.8% saved)

series175.0ms (0.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
52.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
37.0ms	f	@	-inf	(log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
31.0ms	f	@	inf	(log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
24.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
7.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))

rewrite339.0ms (1.6%)

Algorithm

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

Rules

917×	`pow1_binary64`
847×	`add-log-exp_binary64`
846×	`expm1-log1p-u_binary64`
845×	`log1p-expm1-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	112
1	477	112
2	6958	112
0	19	28
1	400	28
2	5708	28
0	19	28
0	10	15
1	204	15
2	2333	15
0	20	30
1	418	30
2	5942	30
0	20	30
0	23	37
1	477	37
2	6965	37
0	23	37

Stop Event

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

Counts

4 → 41

Calls

Call 1

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

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

simplify151.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

868×	`distribute-rgt-in_binary64`
855×	`distribute-lft-in_binary64`
272×	`fma-def_binary64`
202×	`associate-r_binary64`
170×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	4333
1	726	3288
2	3254	2338

Stop Event

1×	node limit

Counts

89 → 80

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/2 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 16 (/.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 1/2 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 16 (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (.f64 1/2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 16 (/.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 2 (/.f64 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 16 (/.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 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))))))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (+.f64 (.f64 1/2 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 16 (/.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 1/2 (.f64 (pow.f64 f 2) (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (.f64 16 (/.f64 (+.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)))))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 16 (/.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 -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))))) (PI.f64))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 16 (/.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 2 (/.f64 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 16 (/.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 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))) (PI.f64)))))))) (.f64 1/2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 16 (/.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 2 (/.f64 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 16 (/.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 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (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)))) (/.f64 1 (exp.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)))) (/.f64 1 (exp.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)))) (/.f64 1 (exp.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)))) (/.f64 1 (exp.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)))) (/.f64 1 (exp.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)))) (/.f64 1 (exp.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)))) (/.f64 1 (exp.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)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
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Outputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
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(fma.f64 1/2 (+.f64 (/.f64 0 (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2))) (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)
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(+.f64 0 (fma.f64 2 (.f64 (/.f64 (.f64 f f) (PI.f64)) (.f64 (PI.f64) (.f64 1/4 (fma.f64 (PI.f64) 1/4 (/.f64 -16 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)))))))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (/.f64 2/3 (PI.f64)) (.f64 (pow.f64 f 3) (.f64 (-.f64 (+.f64 0 (.f64 0 (.f64 (pow.f64 (PI.f64) 3) -1/32))) (.f64 (/.f64 16 (pow.f64 (PI.f64) 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) 3/4)))))))
(.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)))) (/.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 (.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 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 (/.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)))))))
(.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)))) (/.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 (.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 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 (/.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)))))))
(.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)))) (/.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 (.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 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 (/.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)))))))
(.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)))) (/.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 (.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 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 (/.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)))))))
(.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)))) (/.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 (.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 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 (/.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)))))))
(.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)))) (/.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 (.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 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 (/.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)))))))
(.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)))) (/.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 (.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 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 (/.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)))))))
(.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)))) (/.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 (.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 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(.f64 (/.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)))))))

localize215.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 (PI.f64) 1/4) f)
✓	1.0b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
✓	1.6b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
✓	6.4b	(+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))

Compiler

Compiled 242 to 177 computations (26.9% saved)

series22.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
9.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
1.0ms	f	@	0	(+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))

rewrite175.0ms (0.8%)

Algorithm

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

Rules

995×	`pow1_binary64`
928×	`add-log-exp_binary64`
926×	`log1p-expm1-u_binary64`
926×	`expm1-log1p-u_binary64`
182×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	89
1	479	89
2	6341	89
0	12	24
1	259	13
2	3675	13
0	21	41
1	479	41
2	6287	41
0	21	41
0	20	39
1	461	39
2	6052	39
0	20	39

Stop Event

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

Counts

3 → 55

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify130.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1504
1	392	1382
2	1664	1252

Stop Event

1×	node limit

Counts

91 → 81

Calls

Call 1

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

eval776.0ms (3.6%)

Compiler: Compiled 26112 to 20349 computations (22.1% saved)

prune162.0ms (0.7%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	668	31	699
Fresh	9	0	9
Picked	1	0	1
Done	2	2	4
Total	680	33	713

Error

0.6b

Counts

713 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	63.1b	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))
	1.1b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))))
	1.0b	(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))
✓	2.7b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	3.5b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
▶	1.8b	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 3))
	2.7b	(.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)) (/.f64 -4 (PI.f64)))
	2.0b	(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
	10.9b	(neg.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))))))
	63.9b	(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (.f64 1/192 (.f64 2 (PI.f64))) 1/2) -2)) (neg.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	62.9b	(.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
	1.7b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
	3.2b	(/.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	60.9b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
	2.7b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	2.6b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
▶	0.9b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
	2.7b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
	1.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (-.f64 (log.f64 2) (log.f64 (*.f64 2 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))))
	1.3b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3)))
▶	62.9b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (expm1.f64 (log1p.f64 (/.f64 f (/.f64 4 (PI.f64))))))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
✓	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
▶	10.9b	(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))))
	2.3b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) 3) (pow.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) 3)) (fma.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (fma.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (log.f64 (*.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))))))
	2.0b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)))))
▶	2.6b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.0b	(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4))))
	3.5b	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	62.9b	(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))))
	3.0b	(.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 -4 (PI.f64)))
	3.5b	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))

Compiler

Compiled 1303 to 1099 computations (15.7% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 37 computations (28.8% saved)

series59.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	f	@	inf	(/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))
22.0ms	f	@	-inf	(/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))
6.0ms	f	@	0	(/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))
1.0ms	f	@	0	(log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))
1.0ms	f	@	0	(tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

244 → 225

Calls

Call 1

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

247 → 208

Calls

Call 1

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

series187.0ms (0.9%)

Counts

3 → 20

Calls

6 calls:

Time	Variable		Point	Expression
158.0ms	f	@	-inf	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
19.0ms	f	@	0	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
7.0ms	f	@	inf	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
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))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

253 → 240

Calls

Call 1

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

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

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))
	0.4b	(/.f64 f (/.f64 4 (PI.f64)))
✓	5.4b	(pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))
✓	9.8b	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64))))

Compiler

Compiled 66 to 49 computations (25.8% saved)

series80.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64))))
30.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64))))
7.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64))))
6.0ms	f	@	inf	(/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))
2.0ms	f	@	0	(pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
326×	`pow2_binary64`
314×	`pow-unpow_binary64`
260×	`pow-pow_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	251	49
2	3375	49

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs

(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64))))

(pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))

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

Outputs

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simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

550×	`associate-+l+_binary64`
504×	`times-frac_binary64`
339×	`associate-*l/_binary64`
301×	`associate-*r/_binary64`
279×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	4178
1	768	3135
2	3843	2105

Stop Event

1×	node limit

Counts

147 → 141

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (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 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -64 (/.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) 4))) (.f64 2 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 16 (/.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))) (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)))) (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 32 (/.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) 4)))))))) (+.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 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.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)))))))
(/.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 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
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Outputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
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(fma.f64 -8 (/.f64 (.f64 f (.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2)) (*.f64 4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(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 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (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 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (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 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (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 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (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 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (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 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (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 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (-.f64 (exp.f64 (.f64 (.f64 1/4 f) (PI.f64))) (exp.f64 (neg.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 82 to 61 computations (25.6% saved)

series23.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	f	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 3)
5.0ms	f	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 3)
4.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 3)
2.0ms	f	@	0	(cbrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
1.0ms	f	@	inf	(cbrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log-prod_binary64`
376×	`pow2_binary64`
260×	`pow1/3_binary64`
260×	`log1p-udef_binary64`
259×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	324	40
2	4135	40

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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(/.f64 -4 (PI.f64))) 1)))) (#(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 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 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 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simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

500×	`associate-+l+_binary64`
358×	`times-frac_binary64`
354×	`associate-r_binary64`
313×	`associate-/r*_binary64`
292×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	5267
1	907	4350
2	4265	1869

Stop Event

1×	node limit

Counts

114 → 110

Calls

Call 1

Inputs
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(.f64 (pow.f64 (/.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))))))))) (PI.f64)) 1/3) (cbrt.f64 -4))
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(.f64 (pow.f64 (/.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))))))))) (PI.f64)) 1/3) (cbrt.f64 -4))
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(.f64 (pow.f64 (/.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))))))))) (PI.f64)) 1/3) (cbrt.f64 -4))

Outputs
(.f64 -4 (.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (pow.f64 1 1/3)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)) (pow.f64 1 1/3))) (.f64 f (+.f64 (.f64 -16/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 4) 1) (pow.f64 (PI.f64) 22)) 1/9) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))) (.f64 -8/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 4) 1) (pow.f64 (PI.f64) 22)) 1/9) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)) (.f64 f (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 4) (pow.f64 (PI.f64) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 4) (pow.f64 (PI.f64) 22)) 1/18)) (.f64 (pow.f64 (PI.f64) 2) 0)) -8)))
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(.f64 (pow.f64 (/.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))))))))) (PI.f64)) 1/3) (cbrt.f64 -4))
(.f64 (cbrt.f64 -4) (cbrt.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)))))))) (PI.f64))))
(.f64 (cbrt.f64 -4) (cbrt.f64 (/.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 (cbrt.f64 -4) (cbrt.f64 (/.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))))

eval753.0ms (3.5%)

Compiler: Compiled 28389 to 21547 computations (24.1% saved)

prune259.0ms (1.2%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1062	20	1082
Fresh	15	11	26
Picked	0	1	1
Done	2	4	6
Total	1079	36	1115

Error

0.1b

Counts

1115 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))))
	45.2b	(neg.f64 (.f64 (/.f64 1 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) -4))))
	1.9b	(neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/4)) 2)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (PI.f64) -1/4)))
▶	1.0b	(neg.f64 (/.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))))
✓	2.7b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	10.9b	(neg.f64 (.f64 2 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64)))))))
	62.9b	(/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (*.f64 (PI.f64) 1/4))
	62.9b	(/.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
✓	1.8b	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 3))
	63.1b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
	1.9b	(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 f (.f64 (PI.f64) 1/4)))) (expm1.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/4)) 2))))) (.f64 (PI.f64) -1/4)))
	62.9b	(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))))
	59.2b	(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)))
	1.9b	(neg.f64 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 -4 (PI.f64)))))) 3))
	62.9b	(.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
	1.7b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
	3.2b	(/.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	2.7b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	2.7b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
▶	3.5b	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))
	1.1b	(neg.f64 (/.f64 (.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
	3.6b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))
	2.6b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
	2.9b	(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 -4 (PI.f64))))) 3) 3))
✓	0.9b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
	61.4b	(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))))
	1.0b	(neg.f64 (sqrt.f64 (pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) -2)))
	44.6b	(neg.f64 (log.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (*.f64 (/.f64 -4 (PI.f64)) 3)))))
	1.1b	(neg.f64 (.f64 1/3 (.f64 3 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))))))
▶	1.3b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3)))
✓	2.6b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.7b	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
▶	12.6b	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	3.5b	(.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	3.0b	(.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 -4 (PI.f64)))
✓	62.9b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))

Compiler

Compiled 1061 to 909 computations (14.3% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 74 to 54 computations (27% saved)

series9.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`log-prod_binary64`
361×	`pow2_binary64`
253×	`pow1/3_binary64`
251×	`pow-unpow_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	285	55
2	3644	55

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/4 (.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/4 (.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 2) 1/16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/4 (.f64 (PI.f64) f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/4 (.f64 (PI.f64) f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) f)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f 1/4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 f 1/4) 3) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/4 (.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 f 1/4) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/4 (*.f64 (PI.f64) f))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (/.f64 1 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (PI.f64)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (PI.f64)) -2)) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f))))) -2) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 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simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

690×	`distribute-rgt-in_binary64`
681×	`distribute-lft-in_binary64`
430×	`times-frac_binary64`
343×	`associate-*l/_binary64`
296×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	3358
1	627	2719
2	2953	2125

Stop Event

1×	node limit

Counts

183 → 165

Calls

Call 1

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series5.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

Outputs
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simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

191 → 175

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	5.5b	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))
✓	9.7b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))

Compiler

Compiled 42 to 29 computations (31% saved)

series54.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
17.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
16.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
0.0ms	f	@	0	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))
0.0ms	f	@	-inf	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`pow1_binary64`
877×	`add-log-exp_binary64`
877×	`log1p-expm1-u_binary64`
877×	`expm1-log1p-u_binary64`
858×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	177	32
2	2346	32

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

845×	`div-sub_binary64`
798×	`fma-def_binary64`
600×	`distribute-rgt-in_binary64`
446×	`distribute-lft-in_binary64`
312×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	520
1	63	504
2	121	504
3	286	504
4	865	504
5	2874	504

Stop Event

1×	node limit

Counts

72 → 58

Calls

Call 1

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

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

localize27.0ms (0.1%)

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)

series11.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (0.4%)

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

simplify72.0ms (0.3%)

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))))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 83 to 62 computations (25.3% saved)

series65.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	f	@	0	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3))
5.0ms	f	@	0	(pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3)
2.0ms	f	@	inf	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3))
1.0ms	f	@	inf	(pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3)
1.0ms	f	@	-inf	(pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3)

rewrite764.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`log-prod_binary64`
378×	`pow2_binary64`
260×	`log1p-udef_binary64`
259×	`pow1/3_binary64`
259×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	326	41
2	4221	41

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)) 3) -1/64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)) 3) -1/64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)) 3) -1/64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)) 3) -1/64)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)) 3) -1/64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) 1/4)))) (PI.f64)) 3) -1/64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (tanh.f64 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simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

934×	`times-frac_binary64`
603×	`associate-/l*_binary64`
550×	`associate-*l/_binary64`
421×	`associate-/r*_binary64`
231×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3146
1	727	2520
2	3675	1833

Stop Event

1×	node limit

Counts

122 → 117

Calls

Call 1

Inputs
(.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
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(/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (cbrt.f64 -64)) (PI.f64))
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Outputs
(.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(+.f64 (.f64 f (+.f64 (.f64 -128 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 4))) (.f64 -256 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 4))))) (.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3))))
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(fma.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)) 0)
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(/.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)))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(.f64 (/.f64 (cbrt.f64 -64) (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)))))))
(/.f64 (.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)))))))) (cbrt.f64 -64)) (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)))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(.f64 (/.f64 (cbrt.f64 -64) (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)))))))
(/.f64 (.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)))))))) (cbrt.f64 -64)) (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)))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(.f64 (/.f64 (cbrt.f64 -64) (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)))))))
(/.f64 (.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)))))))) (cbrt.f64 -64)) (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)))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(.f64 (/.f64 (cbrt.f64 -64) (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)))))))
(/.f64 (.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)))))))) (cbrt.f64 -64)) (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)))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(.f64 (/.f64 (cbrt.f64 -64) (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)))))))
(/.f64 (.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)))))))) (cbrt.f64 -64)) (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)))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(.f64 (/.f64 (cbrt.f64 -64) (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)))))))
(/.f64 (.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)))))))) (cbrt.f64 -64)) (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)))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(.f64 (/.f64 (cbrt.f64 -64) (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)))))))
(/.f64 (.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)))))))) (cbrt.f64 -64)) (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)))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) (cbrt.f64 -64)))
(.f64 (/.f64 (cbrt.f64 -64) (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)))))))

eval459.0ms (2.1%)

Compiler: Compiled 19664 to 14763 computations (24.9% saved)

prune187.0ms (0.9%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	822	13	835
Fresh	9	17	26
Picked	1	0	1
Done	3	6	9
Total	835	36	871

Error

0.1b

Counts

871 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 f (PI.f64))))))))
	45.2b	(neg.f64 (.f64 (/.f64 1 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) -4))))
	1.9b	(neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/4)) 2)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (PI.f64) -1/4)))
✓	1.0b	(neg.f64 (/.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))))
	11.2b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
	2.8b	(.f64 (.f64 1/3 (*.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	3.4b	(/.f64 -4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
✓	2.7b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
	10.9b	(neg.f64 (.f64 2 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64)))))))
	62.9b	(/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (*.f64 (PI.f64) 1/4))
	2.7b	(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
	3.4b	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	63.1b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
	1.9b	(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 f (.f64 (PI.f64) 1/4)))) (expm1.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/4)) 2))))) (.f64 (PI.f64) -1/4)))
	3.6b	(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))) 3)
	62.9b	(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))))
	59.2b	(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)))
	1.9b	(neg.f64 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 -4 (PI.f64)))))) 3))
	62.9b	(.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
	1.7b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
✓	2.7b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
	3.2b	(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	2.9b	(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 -4 (PI.f64))))) 3) 3))
✓	0.9b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
	2.7b	(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
	44.6b	(neg.f64 (log.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (*.f64 (/.f64 -4 (PI.f64)) 3)))))
	1.1b	(neg.f64 (.f64 1/3 (.f64 3 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))))))
	61.4b	(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))))
✓	62.9b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
	2.2b	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 -1/4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (PI.f64)))) -2))
	3.0b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64))) 3))
	2.6b	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
✓	2.6b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.7b	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
	3.5b	(.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	2.7b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 540 to 459 computations (15% saved)

regimes192.0ms (0.9%)

Counts

80 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (*.f64 (PI.f64) 1/4))
(.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)))
(/.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
(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 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))
(neg.f64 (/.f64 (.f64 1/3 (.f64 3 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (.f64 1/3 (.f64 3 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (.f64 1/3 (.f64 3 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (exp.f64 (log.f64 (*.f64 f (PI.f64))))))))
(/.f64 -4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(.f64 (/.f64 -4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (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)))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))) 3)
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64))) 3))
(.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (PI.f64)) (log.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) -4))))
(neg.f64 (log.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))))
(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (-.f64 (log.f64 2) (log.f64 (*.f64 2 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))))))))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)))))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 -1/4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 (PI.f64) f)))) (PI.f64)))) -2))
(neg.f64 (.f64 2 (log.f64 (sqrt.f64 (pow.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -4 (PI.f64)))))))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) -2)))
(neg.f64 (log.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))) (*.f64 (/.f64 -4 (PI.f64)) 3)))))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4))) 3))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3)))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (*.f64 (PI.f64) -1/4)) 3) 1/3))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
(neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/4)) 2)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 f (.f64 (PI.f64) 1/4)))))) (.f64 (PI.f64) -1/4)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 f (.f64 (PI.f64) 1/4)))) (expm1.f64 (.f64 (.f64 f (.f64 (PI.f64) 1/4)) 2))))) (.f64 (PI.f64) -1/4)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))
(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (.f64 1/192 (*.f64 2 (PI.f64))) 1/2) -2)) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (.f64 1/192 (.f64 2 (PI.f64))) 1/2) -2)) (neg.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(neg.f64 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 -4 (PI.f64)))))) 3))
(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 -4 (PI.f64))))) 3) 3))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (PI.f64) 1/4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (expm1.f64 (log1p.f64 (/.f64 f (/.f64 4 (PI.f64))))))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) 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 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (/.f64 (PI.f64) 4) f))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 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)))) (log.f64 (exp.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)))) (expm1.f64 (log1p.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)))) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (.f64 1/192 (.f64 2 (PI.f64))) 1/2) -2)) 0) (.f64 (.f64 f f) 1/2) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (neg.f64 (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (/.f64 f (/.f64 4 (PI.f64))))) (/.f64 4 (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (cbrt.f64 (.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) 3) (pow.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) 3)) (fma.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (fma.f64 (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (log.f64 (.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (log.f64 (.f64 2 (cosh.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (log.f64 (*.f64 2 (sinh.f64 (/.f64 f (/.f64 4 (PI.f64)))))))))))))

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

Calls

6 calls:

49.0ms	f
47.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
12.0ms	(.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)))))))
12.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
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)))))

Results

Error	Segments	Branch
0.9b	1	`f`
0.9b	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))))))))`
0.9b	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)))))))`
0.9b	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))))))`
0.9b	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)))))`
0.9b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1755 to 1346 computations (23.3% saved)

regimes19.0ms (0.1%)

Accuracy

Total -61.3b remaining (-2348.8%)

Threshold costs -61.3b (-2348.8%)

Counts

23 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (PI.f64))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (*.f64 (PI.f64) 1/4))
(.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)))
(/.f64 (.f64 1/3 (.f64 3 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (*.f64 (PI.f64) 1/4))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 1 (-.f64 f 1)))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1))))
(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 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
2.6b	1	`f`

Compiler

Compiled 264 to 184 computations (30.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs

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

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

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

soundness0.0ms (0%)

end23.0ms (0.1%)

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