Details

analyze623.0ms (3.1%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample11.5s (56.7%)

Results

3.7s	3968×	body	1024	valid
3.6s	4022×	body	1024	invalid
1.2s	2055×	body	512	invalid
1.2s	2045×	body	512	valid
888.0ms	533×	body	2048	valid
492.0ms	1710×	body	256	valid
406.0ms	961×	body	256	invalid
3.0ms	3×	body	2048	invalid

preprocess66.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

60.5b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

60.6b

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

▶

60.6b

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

Compiler

Compiled 71 to 54 computations (23.9% saved)

localize100.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	1.2b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	5.9b	(-.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)

series90.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
37.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
4.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
2.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

rewrite208.0ms (1%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 48

Calls

Call 1

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

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

96 → 77

Calls

Call 1

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

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

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
✓	0.3b	(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
✓	1.2b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
✓	5.9b	(-.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)

series114.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
44.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
24.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
22.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
14.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
4.0ms	f	@	0	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

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

Outputs
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1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 (/.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))))) (/.f64 4 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (log.f64 (/.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))))) 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 (+.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))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (log.f64 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simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1787
1	457	1649
2	1785	1497

Stop Event

1×	node limit

Counts

275 → 265

Calls

Call 1

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

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

eval367.0ms (1.8%)

Compiler: Compiled 20592 to 13823 computations (32.9% saved)

prune67.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	423	9	432
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	425	9	434

Error

1.3b

Counts

434 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	2.2b	(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
	2.4b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4)))))
	1.9b	(neg.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4)))))
▶	2.7b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
▶	1.6b	(neg.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4)))
▶	2.6b	(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)
	2.7b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
▶	1.7b	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))))))))
▶	2.3b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4)))))

Compiler

Compiled 488 to 386 computations (20.9% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 (/.f64 (*.f64 (PI.f64) f) 4))
✓	0.3b	(*.f64 (PI.f64) f)
✓	0.4b	(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4))
✓	1.5b	(/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))

Compiler

Compiled 125 to 80 computations (36% saved)

series64.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4))
23.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4))
5.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))) (*.f64 (PI.f64) 1/4))
3.0ms	f	@	0	(/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))
2.0ms	f	@	-inf	(/.f64 (.f64 2 (cosh.f64 (/.f64 (.f64 (PI.f64) f) 4))) (.f64 2 (sinh.f64 (/.f64 (.f64 (PI.f64) f) 4))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	352	68
2	4755	47

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

Outputs
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simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

689×	`distribute-rgt-in_binary64`
687×	`distribute-lft-in_binary64`
435×	`*-commutative_binary64`
341×	`associate-+l+_binary64`
262×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2542
1	533	2067
2	2394	1711

Stop Event

1×	node limit

Counts

204 → 187

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

series114.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
85.0ms	f	@	0	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
14.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
12.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
1.0ms	f	@	inf	(/.f64 (/.f64 4 (PI.f64)) f)
1.0ms	f	@	0	(/.f64 (/.f64 4 (PI.f64)) f)

rewrite67.0ms (0.3%)

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	25
1	218	25
2	2863	25

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

((#(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 (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))))))))))

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	336
1	56	324
2	104	324
3	251	324
4	700	324
5	1958	324
6	5299	324
7	7332	324

Stop Event

1×	node limit

Counts

87 → 69

Calls

Call 1

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

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

localize23.0ms (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 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 43 to 28 computations (34.9% saved)

series46.0ms (0.2%)

Counts

3 → 16

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
12.0ms	f	@	-inf	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
7.0ms	f	@	inf	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms	f	@	inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite133.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 337

Calls

Call 1

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

Outputs

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(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))))))))

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

353 → 343

Calls

Call 1

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

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

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 174 to 115 computations (33.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

71 → 69

Calls

Call 1

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

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

localize112.0ms (0.6%)

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)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
✓	1.2b	(log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
✓	1.5b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
✓	5.4b	(exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))

Compiler

Compiled 210 to 158 computations (24.8% saved)

series110.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
28.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))
19.0ms	f	@	inf	(log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
17.0ms	f	@	-inf	(log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))
4.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))))))

rewrite245.0ms (1.2%)

Algorithm

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

Rules

930×	`pow1_binary64`
929×	`pow1_binary64`
860×	`add-log-exp_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	52
1	481	52
2	6852	52
0	11	13
1	211	13
2	2351	13
0	19	28
1	404	28
2	5703	28
0	19	28
0	10	15
1	204	15
2	2344	15
0	23	37
1	481	37
2	6861	37
0	23	37

Stop Event

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

Counts

4 → 71

Calls

Call 1

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

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

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

839×	`distribute-rgt-in_binary64`
827×	`distribute-lft-in_binary64`
243×	`fma-def_binary64`
223×	`associate-*l/_binary64`
199×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	3369
1	706	2646
2	3146	1950

Stop Event

1×	node limit

Counts

119 → 110

Calls

Call 1

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

eval801.0ms (4%)

Compiler: Compiled 32024 to 22423 computations (30% saved)

prune137.0ms (0.7%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	945	20	965
Fresh	3	1	4
Picked	1	0	1
Done	3	1	4
Total	952	22	974

Error

Counts

974 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	2.7b	(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (sqrt.f64 f))) (log.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))) (PI.f64)) 0)
	3.3b	(fma.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 0)
	1.1b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))))
	3.3b	(fma.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 0)
✓	2.7b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
▶	3.4b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))))
	2.9b	(fma.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -3)) 0)
	2.7b	(fma.f64 -4 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) 0)
▶	0.4b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))
	3.4b	(fma.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) 0)
	2.7b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	1.7b	(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))))
	2.6b	(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
	0.6b	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))) 2))
▶	2.6b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
	3.3b	(fma.f64 -4 (pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -3) 1/3) 0)
	2.7b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
	39.1b	(.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 3) 1/3)) (/.f64 -4 (PI.f64)))
▶	3.4b	(fma.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64)) 0)
	3.5b	(fma.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 3) (PI.f64)) 0)
	0.4b	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
▶	2.9b	(fma.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) 0)

Compiler

Compiled 645 to 549 computations (14.9% saved)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 52 to 37 computations (28.8% saved)

series198.0ms (1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
165.0ms	f	@	-inf	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))
27.0ms	f	@	inf	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))
4.0ms	f	@	0	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))
1.0ms	f	@	0	(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))
0.0ms	f	@	inf	(tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	243	37
2	3219	37

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (tanh.f64 (*.f64 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)))) 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simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-def_binary64`
763×	`associate-l_binary64`
756×	`associate-r_binary64`
415×	`distribute-rgt-in_binary64`
408×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1789
1	429	1494
2	1772	1300

Stop Event

1×	node limit

Counts

172 → 156

Calls

Call 1

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
403×	`exp-prod_binary64`
329×	`prod-exp_binary64`
298×	`pow-prod-down_binary64`
266×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	214	25
2	2716	25

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	336
1	56	324
2	104	324
3	251	324
4	703	324
5	1959	324
6	5302	324
7	7344	324

Stop Event

1×	node limit

Counts

140 → 121

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)))

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)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
✓	0.4b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	1.1b	(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))))

Compiler

Compiled 68 to 49 computations (27.9% saved)

series66.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	f	@	0	(log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
22.0ms	f	@	-inf	(log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
15.0ms	f	@	inf	(log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
3.0ms	f	@	-inf	(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))))
1.0ms	f	@	0	(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary64`
329×	`pow-prod-down_binary64`
298×	`pow2_binary64`
209×	`pow1/3_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	248	53
2	3235	53

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-def_binary64`
684×	`div-sub_binary64`
445×	`distribute-rgt-in_binary64`
408×	`sub-neg_binary64`
315×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	744
1	65	708
2	122	708
3	282	708
4	765	708
5	2092	708
6	5630	708
7	7876	708

Stop Event

1×	node limit

Counts

275 → 177

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 35 computations (39.7% saved)

series5.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	-inf	(/.f64 4 (*.f64 f (PI.f64)))
0.0ms	f	@	0	(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
0.0ms	f	@	-inf	(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
0.0ms	f	@	inf	(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
0.0ms	f	@	inf	(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`pow1_binary64`
891×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	197	37
2	2414	37

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify204.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1882×	`fma-neg_binary64`
582×	`div-sub_binary64`
401×	`fma-def_binary64`
339×	`sub-neg_binary64`
323×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	360
1	39	336
2	62	336
3	161	336
4	400	336
5	964	336
6	2176	336
7	3798	336
8	4604	336
9	4806	336
10	4867	336
11	4889	336
12	4904	336
13	6980	336
14	7527	336
15	7648	336
16	7894	336

Stop Event

1×	node limit

Counts

126 → 110

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 f (PI.f64))
	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.4b	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
✓	0.5b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)

Compiler

Compiled 63 to 38 computations (39.7% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`log-prod_binary64`
361×	`exp-prod_binary64`
339×	`prod-exp_binary64`
286×	`pow-prod-down_binary64`
255×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	236	28
2	2646	28

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))

Outputs

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(PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 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simplify207.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	432
1	38	384
2	62	384
3	161	384
4	400	384
5	962	384
6	2172	384
7	3784	384
8	4584	384
9	4792	384
10	4853	384
11	4875	384
12	4890	384
13	6966	384
14	7510	384
15	7631	384
16	7874	384

Stop Event

1×	node limit

Counts

162 → 87

Calls

Call 1

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

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

eval422.0ms (2.1%)

Compiler: Compiled 14983 to 11471 computations (23.4% saved)

prune124.0ms (0.6%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	738	13	751
Fresh	11	5	16
Picked	1	0	1
Done	1	4	5
Total	751	22	773

Error

Counts

773 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
	2.7b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
▶	11.7b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (*.f64 (PI.f64) -1/4))))
✓	3.4b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))))
	3.3b	(fma.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))) 0)
▶	3.4b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)))))
	2.9b	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4))) 2))
▶	2.6b	(neg.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)))
	2.7b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	1.7b	(neg.f64 (-.f64 (/.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (PI.f64) 1/4))))
▶	0.4b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
	3.5b	(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 3)
	0.4b	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
▶	39.1b	(/.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)) -4) (PI.f64))
	13.3b	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	2.7b	(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) 0)
	0.6b	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))) 2))
	2.7b	(fma.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))) 0)
✓	2.7b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
✓	0.4b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))
	2.6b	(-.f64 (/.f64 (log1p.f64 3) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 (PI.f64) -1/4)))
✓	2.6b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))

Compiler

Compiled 581 to 493 computations (15.1% saved)

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 (exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
✓	0.3b	(.f64 f (.f64 (PI.f64) 1/4))
✓	0.4b	(/.f64 (log.f64 (tanh.f64 (exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4))
✓	5.5b	(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))))

Compiler

Compiled 73 to 54 computations (26% saved)

series13.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite129.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`log-prod_binary64`
342×	`pow-prod-down_binary64`
311×	`pow2_binary64`
279×	`pow-unpow_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	268	45
2	3540	45

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def_binary64`
761×	`associate-l_binary64`
756×	`associate-r_binary64`
415×	`distribute-rgt-in_binary64`
408×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1885
1	429	1590
2	1767	1396

Stop Event

1×	node limit

Counts

267 → 201

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

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 43 to 30 computations (30.2% saved)

series39.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
443×	`exp-prod_binary64`
286×	`pow-prod-down_binary64`
275×	`pow2_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	222	25
2	3018	25

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

843×	`div-sub_binary64`
610×	`fma-def_binary64`
482×	`sub-neg_binary64`
432×	`times-frac_binary64`
325×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	324
1	65	324
2	120	324
3	277	324
4	692	324
5	1740	324
6	4214	324
7	6487	324

Stop Event

1×	node limit

Counts

152 → 134

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

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

localize26.0ms (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 1 (*.f64 (PI.f64) -1/4)))
✓	8.9b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (*.f64 (PI.f64) -1/4))))

Compiler

Compiled 45 to 33 computations (26.7% saved)

series58.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (*.f64 (PI.f64) -1/4))))
18.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (*.f64 (PI.f64) -1/4))))
16.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (*.f64 (PI.f64) -1/4))))
0.0ms	f	@	0	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (*.f64 (PI.f64) -1/4)))
0.0ms	f	@	-inf	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (*.f64 (PI.f64) -1/4)))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
336×	`pow-unpow_binary64`
299×	`pow-prod-down_binary64`
281×	`pow2_binary64`
221×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	258	32
2	3364	32

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

114 → 100

Calls

Call 1

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

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

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)))
	0.4b	(/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4))
	0.4b	(/.f64 f (/.f64 4 (PI.f64)))
✓	1.1b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4))))

Compiler

Compiled 68 to 49 computations (27.9% saved)

series104.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	f	@	0	(log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)))
22.0ms	f	@	-inf	(log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)))
17.0ms	f	@	inf	(log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)))
0.0ms	f	@	0	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4))))
0.0ms	f	@	inf	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4))))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary64`
305×	`pow-prod-down_binary64`
295×	`pow2_binary64`
295×	`prod-diff_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	243	36
2	3225	36

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

835×	`div-sub_binary64`
692×	`fma-def_binary64`
525×	`sub-neg_binary64`
426×	`times-frac_binary64`
393×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	492
1	71	480
2	127	480
3	282	480
4	698	480
5	1840	480
6	4543	480
7	6917	480

Stop Event

1×	node limit

Counts

112 → 96

Calls

Call 1

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

Outputs
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(log.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) 1))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) 1))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) 1))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) 1))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))))
(log.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1))
(log1p.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))))
(log1p.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64))))

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3)
✓	0.4b	(/.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)) -4) (PI.f64))
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	36.6b	(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)

Compiler

Compiled 67 to 52 computations (22.4% saved)

series49.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	f	@	0	(/.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)) -4) (PI.f64))
15.0ms	f	@	-inf	(/.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)) -4) (PI.f64))
7.0ms	f	@	inf	(/.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)) -4) (PI.f64))
2.0ms	f	@	0	(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
2.0ms	f	@	-inf	(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
337×	`pow2_binary64`
241×	`pow-unpow_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	319	36
2	3724	36

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(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 (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 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (*.f64 (/.f64 1 f) (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (PI.f64) f)) (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) (/.f64 4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2)) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -3) (pow.f64 f -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3/2) (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) (/.f64 4 (PI.f64))) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) 1) (/.f64 4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) (cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/4) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) (*.f64 f (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -3) (pow.f64 f 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (neg.f64 f) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) 1/4) -3)) (neg.f64 (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2)) (*.f64 (PI.f64) f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 (PI.f64)) (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2)) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -4 (PI.f64)) (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) 4) (*.f64 (PI.f64) f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) (/.f64 4 (PI.f64))) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) 1) (*.f64 f (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) (/.f64 -4 (PI.f64))) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1))))))

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1064×	`unswap-sqr_binary64`
627×	`fma-def_binary64`
398×	`distribute-rgt-in_binary64`
316×	`associate-/l/_binary64`
293×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	576
1	87	560
2	205	560
3	568	560
4	1878	524
5	3978	524

Stop Event

1×	node limit

Counts

192 → 166

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))

Outputs
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -64) (*.f64 f (PI.f64))))
(/.f64 (neg.f64 (cbrt.f64 -64)) (*.f64 f (PI.f64)))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -64) (*.f64 f (PI.f64))))
(/.f64 (neg.f64 (cbrt.f64 -64)) (*.f64 f (PI.f64)))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -64) (*.f64 f (PI.f64))))
(/.f64 (neg.f64 (cbrt.f64 -64)) (*.f64 f (PI.f64)))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -64) (*.f64 f (PI.f64))))
(/.f64 (neg.f64 (cbrt.f64 -64)) (*.f64 f (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)))
(*.f64 (-.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))))
(*.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (/.f64 -4 (PI.f64)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))

eval472.0ms (2.3%)

Compiler: Compiled 17731 to 13300 computations (25% saved)

prune122.0ms (0.6%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	911	4	915
Fresh	4	9	13
Picked	0	1	1
Done	1	7	8
Total	916	21	937

Error

Counts

937 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
	2.7b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4)))
	2.7b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	2.7b	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
✓	3.4b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)))))
	2.9b	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4))) 2))
✓	2.6b	(neg.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)))
✓	0.4b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4)))))) (*.f64 (PI.f64) -1/4)))
	3.5b	(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 3)
	0.4b	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
✓	39.1b	(/.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)) -4) (PI.f64))
	2.7b	(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (PI.f64)) 0)
	0.6b	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4))) 2))
✓	2.6b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -4) (PI.f64))
	2.8b	(neg.f64 (/.f64 (log.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 1/3))) (*.f64 (PI.f64) -1/4)))
	2.7b	(fma.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))) 0)
	11.7b	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
✓	3.4b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))))
	11.7b	(log.f64 (pow.f64 (pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (.f64 (PI.f64) -1/4))))
✓	0.4b	(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (*.f64 (PI.f64) -1/4)))
	2.6b	(-.f64 (/.f64 (log1p.f64 3) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 (PI.f64) -1/4)))

Compiler

Compiled 293 to 250 computations (14.7% saved)

regimes106.0ms (0.5%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	f
26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
9.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
7.0ms	(/.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)))))
7.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

Error	Segments	Branch
0.4b	1	`f`
0.4b	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))))))))`
0.4b	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)))))))`
0.4b	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))))))`
0.4b	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)))))`
0.4b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 956 to 709 computations (25.8% saved)

regimes28.0ms (0.1%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.4b	1	`f`

Compiler

Compiled 381 to 279 computations (26.8% saved)

regimes9.0ms (0%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
2.6b	1	`f`

Compiler

Compiled 101 to 70 computations (30.7% saved)

regimes7.0ms (0%)

Accuracy

Total -0.1b remaining (-3.3%)

Threshold costs -0.1b (-3.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
2.6b	1	`f`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	82
1	53	82
2	65	82
3	74	82
4	77	82

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 51 to 43 computations (15.7% saved)

soundness0.0ms (0%)

end49.0ms (0.2%)

Compiler: Compiled 48 to 37 computations (22.9% saved)