Details

analyze473.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.1s (24.7%)

Results

1.1s	1022×	body	2048	valid
909.0ms	2014×	body	1024	valid
588.0ms	4447×	body	256	valid
235.0ms	65×	body	4096	valid
184.0ms	708×	body	512	valid
43.0ms	300×	body	256	invalid
5.0ms	9×	body	2048	invalid
3.0ms	5×	body	8192	exit

preprocess180.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1036×	`fma-neg_binary64`
1024×	`fma-def_binary64`
528×	`div-sub_binary64`
432×	`times-frac_binary64`
309×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	43	40
2	105	40
3	267	40
4	456	40
5	737	40
6	1005	40
7	1418	40
8	2573	40
9	4245	40
10	4848	40
11	4898	40
12	4928	40
13	4942	40
14	5170	40
15	5266	40
16	5954	40
17	5954	40
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) F) (.f64 (/.f64 1 (.f64 l l)) (tan.f64 (.f64 (PI.f64) F))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) F) (.f64 (/.f64 1 (.f64 l l)) (tan.f64 (.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) F) (/.f64 (tan.f64 (.f64 (PI.f64) F)) (*.f64 l l)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-def_binary64`
157×	`fma-neg_binary64`
49×	`cancel-sign-sub-inv_binary64`
38×	`associate-/l*_binary64`
33×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	57	20
3	139	20
4	236	20
5	375	20
6	501	20
7	641	20
8	833	20
9	1103	20
10	1157	20

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

eval1.0ms (0%)

Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (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

15.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	15.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) l)
✓	0.7b	(/.f64 1 (*.f64 F F))
✓	5.4b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	32.9b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series31.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
5.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
3.0ms	l	@	0	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
857×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	201	29
2	2454	29

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

Inputs
(tan.f64 (*.f64 (PI.f64) l))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
(*.f64 (PI.f64) l)

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

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-neg_binary64`
413×	`fma-def_binary64`
406×	`associate-r_binary64`
404×	`associate-l_binary64`
385×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1282
1	259	1208
2	943	1154
3	5889	1124

Stop Event

1×	node limit

Counts

147 → 108

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

Outputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 l (PI.f64)))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))))
(fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 l (PI.f64))))
(fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5))) (.f64 l (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))))))
(fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (fma.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (.f64 l (PI.f64)))))
(fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5)))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5))) (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (.f64 F F)) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))))
(fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) F)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 4))) (/.f64 (.f64 F F) 1/24)))) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (.f64 F F)) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 F F)) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) F) (/.f64 (pow.f64 (PI.f64) 4) F)))) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5))) (.f64 F F)) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5))) (/.f64 F -1/2)) (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) (.f64 F F)))) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.2b	(*.f64 (PI.f64) l)
✓	5.6b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.9b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
1.0ms	l	@	0	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
1.0ms	l	@	inf	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
1.0ms	F	@	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
1.0ms	l	@	-inf	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

rewrite160.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
397×	`exp-prod_binary64`
352×	`pow-prod-down_binary64`
276×	`pow2_binary64`
276×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	200	33
2	2890	33

Stop Event

1×	node limit

Counts

2 → 172

Calls

Call 1

Inputs
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

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

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simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-neg_binary64`
452×	`distribute-neg-frac_binary64`
388×	`fma-def_binary64`
380×	`associate-r_binary64`
359×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1607
1	277	1545
2	1002	1447
3	6027	1415

Stop Event

1×	node limit

Counts

220 → 196

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)))))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 7) (-.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2))))) (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))))))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6))) (.f64 F F)) (pow.f64 l 5) (.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5))) (.f64 F F)) (pow.f64 l 5) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))))) F)) (.f64 1/24 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 7) 1/840) (.f64 F F)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6))) (.f64 F F))) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/72) (.f64 (/.f64 F (pow.f64 (PI.f64) 4)) F)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6))) (.f64 F F)) (pow.f64 l 5) (.f64 (PI.f64) (/.f64 l (.f64 F F))))))
(fma.f64 (-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 7) 1/840) (.f64 F F)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5))) (.f64 F F))) (/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) (.f64 F F)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 -1/6 (pow.f64 (PI.f64) 5))) (.f64 F F)) (pow.f64 l 5) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
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(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (.f64 l (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (.f64 l (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (.f64 l (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (.f64 l (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (.f64 l (PI.f64)))))

eval340.0ms (2.7%)

Compiler: Compiled 9014 to 4137 computations (54.1% saved)

prune89.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	356	15	371
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	358	15	373

Error

0.2b

Counts

373 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	16.0b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
▶	13.7b	(*.f64 l (PI.f64))
▶	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	21.7b	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶	43.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
	15.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
	10.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
▶	16.2b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
▶	41.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	38.8b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 2)) (-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
	21.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	41.5b	(fma.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	55.8b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 6))))

Compiler

Compiled 540 to 336 computations (37.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
	32.9b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms	l	@	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms	F	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms	l	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms	F	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`pow1_binary64`
876×	`add-log-exp_binary64`
876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	170	23
2	2340	23

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

Outputs

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

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

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-neg_binary64`
454×	`distribute-neg-frac_binary64`
406×	`associate-/l*_binary64`
364×	`fma-def_binary64`
358×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1447
1	308	1385
2	1044	1307
3	5990	1271

Stop Event

1×	node limit

Counts

116 → 90

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) F)
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))

Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (/.f64 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) F) 1/3 (.f64 (PI.f64) (/.f64 l F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (/.f64 l F) (PI.f64))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (/.f64 (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4))) F)) (pow.f64 l 5) (*.f64 (PI.f64) (/.f64 l F))))
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(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (-.f64 (/.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) F) (fma.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 4))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (/.f64 F (pow.f64 (PI.f64) 2))))))) (pow.f64 l 7)))))
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(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (/.f64 (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4))) F)) (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (fma.f64 (-.f64 (.f64 (/.f64 -1/5040 F) (pow.f64 (PI.f64) 7)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720 (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) F)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/72) F) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (*.f64 (PI.f64) (/.f64 l F)))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (.f64 -1/6 (pow.f64 (PI.f64) 5)))) F) (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (fma.f64 (-.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F) (/.f64 1/720 (/.f64 F (pow.f64 (PI.f64) 7)))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (.f64 -1/6 (pow.f64 (PI.f64) 5))))) (/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) F))) (pow.f64 l 7) (*.f64 (PI.f64) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
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(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
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(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
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(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (/.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (.f64 F F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) (.f64 F F))))) (pow.f64 l 5) (fma.f64 (-.f64 (/.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (.f64 F F)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
(fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (.f64 1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))) (.f64 F F)))) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))))) F)) (.f64 1/24 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 3)) 1/3) (.f64 F F))))) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))))
(fma.f64 (pow.f64 l 5) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (.f64 -1/6 (.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) F)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/72) F) (/.f64 (pow.f64 (PI.f64) 4) F)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))))
(fma.f64 (pow.f64 l 5) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (.f64 -1/6 (pow.f64 (PI.f64) 5)))) (.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 F F)) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (.f64 -1/6 (pow.f64 (PI.f64) 5))))) (/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) (.f64 F F)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 l (PI.f64))

Compiler

Compiled 7 to 4 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(*.f64 l (PI.f64))
0.0ms	l	@	-inf	(*.f64 l (PI.f64))
0.0ms	l	@	inf	(*.f64 l (PI.f64))

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

367×	`pow1_binary64`
350×	`add-sqr-sqrt_binary64`
345×	`*-un-lft-identity_binary64`
336×	`add-log-exp_binary64`
336×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	78	5
2	922	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 l (PI.f64))

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

21 → 21

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
✓	0.1b	(/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)
	0.2b	(*.f64 (PI.f64) l)
✓	0.5b	(/.f64 (PI.f64) (/.f64 F l))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	F	@	inf	(/.f64 (PI.f64) (/.f64 F l))
1.0ms	l	@	inf	(/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)
1.0ms	l	@	inf	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
1.0ms	F	@	0	(/.f64 (PI.f64) (/.f64 F l))
1.0ms	F	@	-inf	(/.f64 (PI.f64) (/.f64 F l))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log-prod_binary64`
420×	`pow-prod-down_binary64`
300×	`pow2_binary64`
290×	`fma-def_binary64`
230×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	211	37
2	3414	37

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

Inputs
(/.f64 (PI.f64) (/.f64 F l))
(/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))

Outputs

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

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

875×	`fma-neg_binary64`
780×	`div-sub_binary64`
497×	`associate-/r*_binary64`
487×	`associate-/l/_binary64`
403×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	794
1	56	794
2	154	773
3	505	773
4	1778	773
5	5025	773
6	7997	773

Stop Event

1×	node limit

Counts

291 → 229

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))

Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
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(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (PI.f64) (/.f64 l F))
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(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
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(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (/.f64 l F) (PI.f64))
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(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
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(/.f64 (*.f64 l (PI.f64)) F)
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(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
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(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
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(/.f64 (*.f64 l (PI.f64)) F)
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(/.f64 (*.f64 l (PI.f64)) F)
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(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
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(/.f64 (*.f64 l (PI.f64)) F)
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(/.f64 (*.f64 l (PI.f64)) F)
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(*.f64 (PI.f64) (/.f64 l F))
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(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
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(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
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(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
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(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
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(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
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(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
	5.6b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.9b	(tan.f64 (*.f64 (PI.f64) l))
✓	44.4b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 50 to 17 computations (66% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
0.0ms	l	@	0	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
0.0ms	l	@	inf	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
517×	`add-log-exp_binary64`
517×	`log1p-expm1-u_binary64`
517×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	149	5
2	1504	5

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Outputs

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

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

244×	`fma-def_binary64`
21×	`sub-neg_binary64`
20×	`distribute-rgt-in_binary64`
19×	`associate-l_binary64`
18×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	18	88
2	48	88
3	94	88
4	108	88
5	156	88
6	228	88
7	265	88
8	307	88
9	476	88
10	504	88

Stop Event

1×

saturated

Counts

41 → 31

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))

Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 (.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(.f64 l (.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 (.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(.f64 l (.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 (.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(.f64 l (.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 (.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(.f64 l (.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 -1)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
	0.2b	(*.f64 (PI.f64) l)
	5.6b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	32.9b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series5.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	l	@	inf	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
1.0ms	l	@	0	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
1.0ms	l	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`pow1_binary64`
498×	`add-sqr-sqrt_binary64`
479×	`add-log-exp_binary64`
479×	`log1p-expm1-u_binary64`
479×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	144	5
2	1366	5

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

28 → 28

Calls

Call 1

Inputs

Outputs

eval329.0ms (2.6%)

Compiler: Compiled 15041 to 5520 computations (63.3% saved)

prune184.0ms (1.5%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	674	16	690
Fresh	8	2	10
Picked	1	0	1
Done	1	3	4
Total	684	21	705

Error

0.1b

Counts

705 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	16.0b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	54.9b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
▶	16.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
	21.5b	(+.f64 (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l)) (.f64 (PI.f64) l))
✓	13.7b	(*.f64 l (PI.f64))
	39.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l)) 2)) (-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l))))
✓	16.2b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l))))
	39.8b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶	21.7b	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
	43.7b	(fma.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l)))
✓	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	49.5b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
	49.7b	(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
	16.2b	(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
▶	14.6b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	41.4b	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	21.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 1 (/.f64 (*.f64 F F) l))))
▶	25.6b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	47.1b	(/.f64 1 (/.f64 (fma.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F)) (fma.f64 (/.f64 (PI.f64) F) (/.f64 l F) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)) 3))))
	15.4b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 3))

Compiler

Compiled 608 to 376 computations (38.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	0.6b	(cbrt.f64 (*.f64 l (PI.f64)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)

Compiler

Compiled 18 to 8 computations (55.6% saved)

series9.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	l	@	inf	(cbrt.f64 (*.f64 l (PI.f64)))
2.0ms	l	@	-inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
1.0ms	l	@	0	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
1.0ms	l	@	inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
1.0ms	l	@	-inf	(cbrt.f64 (*.f64 l (PI.f64)))

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
497×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	147	12
2	1445	12

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (*.f64 l (PI.f64)))

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

52 → 52

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	1.6b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
0.0ms	l	@	inf	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
0.0ms	l	@	-inf	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
697×	`add-log-exp_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
685×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	154	5
2	2151	5

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	60
1	5	60

Stop Event

1×

saturated

Counts

59 → 47

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓	0.2b	(/.f64 (/.f64 (PI.f64) F) F)
✓	0.3b	(/.f64 (PI.f64) F)
✓	5.3b	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
1.0ms	F	@	0	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
1.0ms	l	@	inf	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
1.0ms	l	@	-inf	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
1.0ms	F	@	inf	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))

rewrite274.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`prod-diff_binary64`
519×	`log-prod_binary64`
334×	`pow-prod-down_binary64`
250×	`pow2_binary64`
222×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	40
1	180	40
2	2738	40

Stop Event

1×	node limit

Counts

4 → 287

Calls

Call 1

Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (PI.f64) F)
(/.f64 (/.f64 (PI.f64) F) F)
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-neg_binary64`
660×	`times-frac_binary64`
554×	`div-sub_binary64`
358×	`associate-/l*_binary64`
351×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	556
1	38	556
2	94	535
3	264	535
4	873	535
5	3893	535
6	5094	535

Stop Event

1×	node limit

Counts

335 → 300

Calls

Call 1

Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))

Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (*.f64 l (PI.f64)) 3)
	0.2b	(*.f64 l (PI.f64))
✓	44.4b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(pow.f64 (*.f64 l (PI.f64)) 3)
1.0ms	l	@	-inf	(pow.f64 (*.f64 l (PI.f64)) 3)
1.0ms	l	@	inf	(pow.f64 (*.f64 l (PI.f64)) 3)
0.0ms	l	@	0	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
0.0ms	l	@	-inf	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
517×	`add-log-exp_binary64`
517×	`log1p-expm1-u_binary64`
517×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1504	13

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)

Outputs

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

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

simplify209.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

974×	`unswap-sqr_binary64`
771×	`sqr-pow_binary64`
515×	`fma-def_binary64`
473×	`cube-prod_binary64`
398×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	220
1	36	220
2	101	220
3	269	220
4	819	184
5	1433	184
6	2928	184
7	3054	184
8	3376	184
9	3698	184
10	3971	184
11	4211	184
12	4507	184
13	4857	184
14	5740	184
15	6269	184
16	6955	184
17	7263	184
18	7627	184
19	7961	184

Stop Event

1×	node limit

Counts

78 → 57

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))

Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 l (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 l (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 l (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 l (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 l (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 l (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 l (neg.f64 (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 l (.f64 (PI.f64) (neg.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(expm1.f64 (log1p.f64 (pow.f64 F -2)))
✓	5.4b	(.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (.f64 (PI.f64) l)))
✓	11.9b	(log1p.f64 (pow.f64 F -2))
	32.9b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 49 to 26 computations (46.9% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	F	@	inf	(log1p.f64 (pow.f64 F -2))
1.0ms	F	@	0	(log1p.f64 (pow.f64 F -2))
1.0ms	F	@	-inf	(log1p.f64 (pow.f64 F -2))
1.0ms	F	@	-inf	(expm1.f64 (log1p.f64 (pow.f64 F -2)))
1.0ms	F	@	inf	(expm1.f64 (log1p.f64 (pow.f64 F -2)))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
856×	`add-log-exp_binary64`
856×	`expm1-log1p-u_binary64`
855×	`log1p-expm1-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	207	23
2	2361	23

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(log1p.f64 (pow.f64 F -2))
(.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (.f64 (PI.f64) l)))
(expm1.f64 (log1p.f64 (pow.f64 F -2)))

Outputs

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

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

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

548×	`distribute-rgt-neg-in_binary64`
527×	`distribute-lft-neg-in_binary64`
455×	`fma-neg_binary64`
373×	`distribute-neg-frac_binary64`
323×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1087
1	288	1031
2	944	998
3	5008	977

Stop Event

1×	node limit

Counts

100 → 78

Calls

Call 1

Inputs
(*.f64 -2 (log.f64 F))
(+.f64 (pow.f64 F 2) (*.f64 -2 (log.f64 F)))
(+.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (pow.f64 F 4)) (.f64 -2 (log.f64 F))))
(+.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (pow.f64 F 4)) (+.f64 (.f64 1/3 (pow.f64 F 6)) (*.f64 -2 (log.f64 F)))))
(/.f64 1 (pow.f64 F 2))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 1/2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 1/3 (/.f64 1 (pow.f64 F 6)))) (.f64 1/2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 1/3 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 F 8))) (*.f64 1/2 (/.f64 1 (pow.f64 F 4)))))
(/.f64 1 (pow.f64 F 2))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 1/2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 1/3 (/.f64 1 (pow.f64 F 6)))) (.f64 1/2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 1/3 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 F 8))) (*.f64 1/2 (/.f64 1 (pow.f64 F 4)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))

Outputs
(*.f64 -2 (log.f64 F))
(+.f64 (pow.f64 F 2) (*.f64 -2 (log.f64 F)))
(+.f64 (.f64 -2 (log.f64 F)) (.f64 F F))
(fma.f64 -2 (log.f64 F) (*.f64 F F))
(+.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (pow.f64 F 4)) (.f64 -2 (log.f64 F))))
(+.f64 (.f64 F F) (fma.f64 -1/2 (pow.f64 F 4) (.f64 -2 (log.f64 F))))
(fma.f64 F F (fma.f64 -2 (log.f64 F) (*.f64 -1/2 (pow.f64 F 4))))
(fma.f64 -2 (log.f64 F) (fma.f64 -1/2 (pow.f64 F 4) (*.f64 F F)))
(+.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (pow.f64 F 4)) (+.f64 (.f64 1/3 (pow.f64 F 6)) (*.f64 -2 (log.f64 F)))))
(+.f64 (.f64 F F) (fma.f64 -1/2 (pow.f64 F 4) (fma.f64 1/3 (pow.f64 F 6) (.f64 -2 (log.f64 F)))))
(fma.f64 F F (fma.f64 -1/2 (pow.f64 F 4) (fma.f64 -2 (log.f64 F) (*.f64 1/3 (pow.f64 F 6)))))
(fma.f64 F F (fma.f64 -2 (log.f64 F) (fma.f64 -1/2 (pow.f64 F 4) (*.f64 1/3 (pow.f64 F 6)))))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 1/2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 1/2 (pow.f64 F 4)))
(+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -1/2 (pow.f64 F 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 1/3 (/.f64 1 (pow.f64 F 6)))) (.f64 1/2 (/.f64 1 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 1/3 (pow.f64 F 6)) (/.f64 1/2 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 1/3 (pow.f64 F 6)) (/.f64 -1/2 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 1/3 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 F 8))) (*.f64 1/2 (/.f64 1 (pow.f64 F 4)))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 1/3 (pow.f64 F 6)) (+.f64 (/.f64 1/2 (pow.f64 F 4)) (/.f64 1/4 (pow.f64 F 8)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 1/3 (pow.f64 F 6))) (+.f64 (/.f64 1/2 (pow.f64 F 4)) (/.f64 1/4 (pow.f64 F 8))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 1/3 (pow.f64 F 6)) (+.f64 (/.f64 -1/2 (pow.f64 F 4)) (/.f64 -1/4 (pow.f64 F 8)))))
(+.f64 (/.f64 1/3 (pow.f64 F 6)) (+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 -1/2 (pow.f64 F 4)) (/.f64 -1/4 (pow.f64 F 8)))))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 1/2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 1/2 (pow.f64 F 4)))
(+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -1/2 (pow.f64 F 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 1/3 (/.f64 1 (pow.f64 F 6)))) (.f64 1/2 (/.f64 1 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 1/3 (pow.f64 F 6)) (/.f64 1/2 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 1/3 (pow.f64 F 6)) (/.f64 -1/2 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 1/3 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 F 8))) (*.f64 1/2 (/.f64 1 (pow.f64 F 4)))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 1/3 (pow.f64 F 6)) (+.f64 (/.f64 1/2 (pow.f64 F 4)) (/.f64 1/4 (pow.f64 F 8)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 1/3 (pow.f64 F 6))) (+.f64 (/.f64 1/2 (pow.f64 F 4)) (/.f64 1/4 (pow.f64 F 8))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 1/3 (pow.f64 F 6)) (+.f64 (/.f64 -1/2 (pow.f64 F 4)) (/.f64 -1/4 (pow.f64 F 8)))))
(+.f64 (/.f64 1/3 (pow.f64 F 6)) (+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 -1/2 (pow.f64 F 4)) (/.f64 -1/4 (pow.f64 F 8)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) 1/3)) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (/.f64 (.f64 -1/2 (.f64 1/3 (pow.f64 (PI.f64) 3))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (/.f64 (PI.f64) (/.f64 (.f64 F F) l))))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) 1/3)) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6))) (.f64 F F)) (pow.f64 l 5) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 (pow.f64 (PI.f64) 5) 1/6)) (.f64 F F)) (pow.f64 l 5) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (/.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (.f64 F F)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/30) (/.f64 (.f64 -1/2 (.f64 1/3 (pow.f64 (PI.f64) 3))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 (PI.f64) 2))))) F)) (.f64 1/24 (.f64 (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840) (fma.f64 (/.f64 -1/2 F) (/.f64 (pow.f64 (PI.f64) 2) (/.f64 F (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6))))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/72) F) (/.f64 (pow.f64 (PI.f64) 4) F)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) 1/3)) (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6))) (.f64 F F)) (pow.f64 l 5) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) 1/840 (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 (pow.f64 (PI.f64) 5) 1/6)) (.f64 F F))))) (/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 6)) -1/72) (.f64 F F))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 (pow.f64 (PI.f64) 5) 1/6)) (.f64 F F)) (pow.f64 l 5) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F (cos.f64 (.f64 l (PI.f64))))))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))

eval477.0ms (3.8%)

Compiler: Compiled 12069 to 5884 computations (51.2% saved)

prune217.0ms (1.7%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	611	14	625
Fresh	9	4	13
Picked	1	0	1
Done	0	7	7
Total	621	25	646

Error

0.1b

Counts

646 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.5b	(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
	49.7b	(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
	27.4b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
▶	55.1b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
	16.2b	(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
	16.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 F -2))))) (tan.f64 (*.f64 (PI.f64) l))))
✓	13.7b	(*.f64 l (PI.f64))
✓	16.2b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l))))
	15.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))
✓	14.6b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	14.8b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	14.8b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
▶	21.7b	(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
	25.5b	(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
	49.6b	(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
▶	39.9b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	21.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 1 (/.f64 (*.f64 F F) l))))
	14.6b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
✓	25.6b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
✓	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	45.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
✓	21.7b	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	49.5b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
	39.8b	(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)

Compiler

Compiled 548 to 385 computations (29.7% saved)

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
	0.6b	(cbrt.f64 (*.f64 l (PI.f64)))
✓	0.6b	(cbrt.f64 l)
✓	1.0b	(cbrt.f64 (PI.f64))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series5.0ms (0%)

Counts

3 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	-inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
1.0ms	l	@	inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
1.0ms	l	@	0	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
1.0ms	l	@	0	(cbrt.f64 l)
1.0ms	l	@	-inf	(cbrt.f64 l)

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
640×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	175	17
2	1855	17

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs
(cbrt.f64 (PI.f64))
(cbrt.f64 l)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)

Outputs

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

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

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

55 → 55

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
✓	9.6b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series25.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	F	@	0	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
1.0ms	l	@	0	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
1.0ms	F	@	inf	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
1.0ms	F	@	0	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
1.0ms	F	@	inf	(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
746×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	172	19
2	2501	19

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))

Outputs

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

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-def_binary64`
851×	`div-sub_binary64`
629×	`times-frac_binary64`
354×	`associate-/l*_binary64`
345×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	432
1	28	432
2	73	432
3	208	432
4	738	432
5	3501	432
6	4500	432
7	6021	432
8	6991	432

Stop Event

1×	node limit

Counts

96 → 64

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))

Outputs
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) (/.f64 (*.f64 (/.f64 1 F) (PI.f64)) F))
✓	0.2b	(/.f64 (*.f64 (/.f64 1 F) (PI.f64)) F)
✓	0.3b	(*.f64 (/.f64 1 F) (PI.f64))
✓	5.3b	(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
1.0ms	F	@	-inf	(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
1.0ms	F	@	inf	(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
1.0ms	l	@	inf	(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
1.0ms	F	@	0	(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))

rewrite189.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`prod-diff_binary64`
578×	`log-prod_binary64`
279×	`pow2_binary64`
230×	`fma-def_binary64`
197×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	215	40
2	3065	40

Stop Event

1×	node limit

Counts

4 → 300

Calls

Call 1

Inputs
(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
(*.f64 (/.f64 1 F) (PI.f64))
(/.f64 (*.f64 (/.f64 1 F) (PI.f64)) F)
(-.f64 (PI.f64) (/.f64 (*.f64 (/.f64 1 F) (PI.f64)) F))

Outputs
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(PI.f64) (pow.f64 F -2)))) (-.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 (PI.f64) (pow.f64 F -2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2)) (.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 (PI.f64) (pow.f64 F -2)))) (-.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 (PI.f64) (pow.f64 F -2)))) (+.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) (.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 F -2)) 2))) (cbrt.f64 (.f64 (PI.f64) (pow.f64 F -2))) (PI.f64))))))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-neg_binary64`
660×	`times-frac_binary64`
554×	`div-sub_binary64`
355×	`associate-/l*_binary64`
349×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	616
1	39	616
2	94	595
3	264	595
4	871	595
5	3900	595
6	5101	595

Stop Event

1×	node limit

Counts

360 → 313

Calls

Call 1

Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))

Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(.f64 (/.f64 (neg.f64 l) (.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) F)
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 (PI.f64) F)) F)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (PI.f64) (sqrt.f64 l))
✓	0.2b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(*.f64 (PI.f64) (sqrt.f64 l))
1.0ms	l	@	-inf	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
1.0ms	l	@	-inf	(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms	l	@	inf	(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms	l	@	0	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))

rewrite44.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
502×	`add-log-exp_binary64`
502×	`log1p-expm1-u_binary64`
502×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	119	12
2	1418	12

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (PI.f64) (sqrt.f64 l))

Outputs

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-def_binary64`
485×	`cube-prod_binary64`
382×	`fma-neg_binary64`
381×	`distribute-rgt-neg-in_binary64`
311×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	60
1	23	60
2	70	60
3	161	60
4	583	60
5	1362	60
6	2392	60
7	3506	60
8	4599	60
9	6566	60

Stop Event

1×

unsound

Counts

34 → 24

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))

Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.7b	(expm1.f64 (*.f64 -2 (log.f64 F)))
✓	2.6b	(.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
	32.9b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 48 to 21 computations (56.3% saved)

series102.0ms (0.8%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
45.0ms	l	@	inf	(.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
30.0ms	F	@	0	(.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
12.0ms	F	@	inf	(.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
12.0ms	F	@	-inf	(.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms	l	@	0	(.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`pow1_binary64`
899×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
107×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	215	23
2	2463	23

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (*.f64 (PI.f64) l)))
(expm1.f64 (*.f64 -2 (log.f64 F)))

Outputs

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

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

541×	`cancel-sign-sub-inv_binary64`
492×	`associate-l_binary64`
488×	`distribute-rgt-neg-in_binary64`
486×	`associate-r_binary64`
451×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	975
1	224	915
2	737	843
3	4384	790

Stop Event

1×	node limit

Counts

71 → 52

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 (/.f64 1 F) 2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 (/.f64 1 F) 2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 (/.f64 1 F) 2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 (/.f64 1 F) 2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)) (cos.f64 (*.f64 l (PI.f64))))
(.f64 (-.f64 (pow.f64 F -2) 1) (.f64 l (PI.f64)))
(+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 l (PI.f64))) (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 l (PI.f64))) (+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/720 (pow.f64 (PI.f64) 7)) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7))) (+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 l (PI.f64))) (+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))))))
(/.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(-.f64 (pow.f64 F -2) 1)
(-.f64 (pow.f64 F -2) 1)
(-.f64 (pow.f64 F -2) 1)
(-.f64 (pow.f64 F -2) 1)
(-.f64 (pow.f64 (/.f64 1 F) 2) 1)
(-.f64 (pow.f64 (/.f64 1 F) 2) 1)
(-.f64 (pow.f64 (/.f64 1 F) 2) 1)
(-.f64 (pow.f64 (/.f64 1 F) 2) 1)
(-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)
(-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)
(-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)
(-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)

Outputs
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 (/.f64 1 F) 2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 (/.f64 1 F) 2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 (/.f64 1 F) 2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 (/.f64 1 F) 2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (expm1.f64 (*.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 F))))))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (expm1.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 F))))))
(.f64 (fma.f64 1 (pow.f64 (/.f64 -1 F) 2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (expm1.f64 (*.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 F))))))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (expm1.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 F))))))
(.f64 (fma.f64 1 (pow.f64 (/.f64 -1 F) 2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (expm1.f64 (*.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 F))))))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (expm1.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 F))))))
(.f64 (fma.f64 1 (pow.f64 (/.f64 -1 F) 2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (expm1.f64 (*.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 F))))))))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (expm1.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 F))))))
(.f64 (fma.f64 1 (pow.f64 (/.f64 -1 F) 2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))))
(.f64 (-.f64 (pow.f64 F -2) 1) (.f64 l (PI.f64)))
(.f64 (.f64 l (PI.f64)) (+.f64 (pow.f64 F -2) -1))
(.f64 l (.f64 (PI.f64) (+.f64 (pow.f64 F -2) -1)))
(+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 l (PI.f64))) (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(.f64 (+.f64 (pow.f64 F -2) -1) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))
(.f64 (+.f64 (pow.f64 F -2) -1) (fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))
(.f64 (+.f64 (pow.f64 F -2) -1) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) 1/3) (*.f64 l (PI.f64))))
(.f64 (+.f64 (pow.f64 F -2) -1) (fma.f64 l (PI.f64) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) 1/3))))
(+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 l (PI.f64))) (+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(fma.f64 (+.f64 (pow.f64 F -2) -1) (.f64 l (PI.f64)) (.f64 (+.f64 (pow.f64 F -2) -1) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(.f64 (+.f64 (pow.f64 F -2) -1) (+.f64 (.f64 l (PI.f64)) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(.f64 (+.f64 (pow.f64 F -2) -1) (fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(.f64 (+.f64 (pow.f64 F -2) -1) (fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 (pow.f64 (PI.f64) 5) 1/6)) (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) 1/3)))))
(+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/720 (pow.f64 (PI.f64) 7)) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7))) (+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 l (PI.f64))) (+.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (.f64 (-.f64 (pow.f64 F -2) 1) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))))))
(fma.f64 (+.f64 (pow.f64 F -2) -1) (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (pow.f64 (PI.f64) 7) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))))))) (pow.f64 l 7)) (fma.f64 (+.f64 (pow.f64 F -2) -1) (.f64 l (PI.f64)) (.f64 (+.f64 (pow.f64 F -2) -1) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))))
(fma.f64 (+.f64 (pow.f64 F -2) -1) (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7)) (.f64 (+.f64 (pow.f64 F -2) -1) (+.f64 (.f64 l (PI.f64)) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))))
(.f64 (+.f64 (pow.f64 F -2) -1) (+.f64 (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))) (fma.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (pow.f64 (PI.f64) 4) (.f64 (PI.f64) -1/6)))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72))))) (pow.f64 l 7) (.f64 l (PI.f64)))))
(.f64 (+.f64 (pow.f64 F -2) -1) (+.f64 (fma.f64 (pow.f64 l 5) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 (pow.f64 (PI.f64) 5) 1/6)) (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) 1/3))) (fma.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 7) 1/840) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 (pow.f64 (PI.f64) 5) 1/6))) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72))) (pow.f64 l 7) (.f64 l (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (-.f64 (pow.f64 F -2) 1) (sin.f64 (.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (-.f64 (pow.f64 F -2) 1)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (+.f64 (pow.f64 F -2) -1)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (+.f64 (pow.f64 F -2) -1))
(.f64 (+.f64 (pow.f64 F -2) -1) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (+.f64 (pow.f64 F -2) -1) (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (pow.f64 F -2) 1)
(+.f64 (pow.f64 F -2) -1)
(-.f64 (pow.f64 F -2) 1)
(+.f64 (pow.f64 F -2) -1)
(-.f64 (pow.f64 F -2) 1)
(+.f64 (pow.f64 F -2) -1)
(-.f64 (pow.f64 F -2) 1)
(+.f64 (pow.f64 F -2) -1)
(-.f64 (pow.f64 (/.f64 1 F) 2) 1)
(+.f64 (pow.f64 F -2) -1)
(-.f64 (pow.f64 (/.f64 1 F) 2) 1)
(+.f64 (pow.f64 F -2) -1)
(-.f64 (pow.f64 (/.f64 1 F) 2) 1)
(+.f64 (pow.f64 F -2) -1)
(-.f64 (pow.f64 (/.f64 1 F) 2) 1)
(+.f64 (pow.f64 F -2) -1)
(-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)
(expm1.f64 (*.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 F))))))
(expm1.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 F)))))
(fma.f64 1 (pow.f64 (/.f64 -1 F) 2) -1)
(expm1.f64 (*.f64 -2 (log.f64 F)))
(-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)
(expm1.f64 (*.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 F))))))
(expm1.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 F)))))
(fma.f64 1 (pow.f64 (/.f64 -1 F) 2) -1)
(expm1.f64 (*.f64 -2 (log.f64 F)))
(-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)
(expm1.f64 (*.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 F))))))
(expm1.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 F)))))
(fma.f64 1 (pow.f64 (/.f64 -1 F) 2) -1)
(expm1.f64 (*.f64 -2 (log.f64 F)))
(-.f64 (exp.f64 (.f64 -2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 F)))))) 1)
(expm1.f64 (*.f64 -2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 F))))))
(expm1.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 F)))))
(fma.f64 1 (pow.f64 (/.f64 -1 F) 2) -1)
(expm1.f64 (*.f64 -2 (log.f64 F)))

eval245.0ms (2%)

Compiler: Compiled 12495 to 6147 computations (50.8% saved)

prune99.0ms (0.8%)

Pruning

30 alts after pruning (19 fresh and 11 done)

	Pruned	Kept	Total
New	574	9	583
Fresh	3	10	13
Picked	0	1	1
Done	1	10	11
Total	578	30	608

Error

0.1b

Counts

608 → 30

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.5b	(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
	21.7b	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 1 (/.f64 F (PI.f64))) F)))
	49.7b	(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
	27.4b	(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓	55.1b	(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
	16.2b	(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
	14.8b	(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 2)))
	39.8b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
	16.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 F -2))))) (tan.f64 (*.f64 (PI.f64) l))))
✓	13.7b	(*.f64 l (PI.f64))
✓	16.2b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
	55.1b	(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l))))
	15.2b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))
	45.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3)))
✓	14.6b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
	14.8b	(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
	14.8b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
	49.6b	(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
✓	39.9b	(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
	40.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 l))) 3) (sqrt.f64 l))
	14.6b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
✓	25.6b	(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
	14.5b	(.f64 (cbrt.f64 l) (.f64 (-.f64 (+.f64 1 (cbrt.f64 (PI.f64))) 1) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
✓	10.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
✓	45.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
✓	21.7b	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓	49.5b	(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
	39.8b	(.f64 (sqrt.f64 (.f64 l (pow.f64 (PI.f64) 2))) (sqrt.f64 l))
	55.1b	(neg.f64 (.f64 (.f64 l (PI.f64)) (pow.f64 F -2)))

Compiler

Compiled 367 to 264 computations (28.1% saved)

regimes797.0ms (6.4%)

Counts

56 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(neg.f64 (.f64 (.f64 l (PI.f64)) (pow.f64 F -2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 1 (/.f64 F (PI.f64))) F)))
(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(+.f64 (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l)) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 1 (/.f64 (*.f64 F F) l))))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
(.f64 (sqrt.f64 (.f64 l (pow.f64 (PI.f64) 2))) (sqrt.f64 l))
(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 l))) 3) (sqrt.f64 l))
(.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (.f64 (PI.f64) (pow.f64 F -2))) 3)))
(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
(fma.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l)))
(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 3))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (cbrt.f64 l) (.f64 (-.f64 (+.f64 1 (cbrt.f64 (PI.f64))) 1) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l)) 2)) (-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l))))
(.f64 (cbrt.f64 l) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))
(fma.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (.f64 -2 (log.f64 F))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3)))
(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 F -2))))) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 2)) (-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F)) (fma.f64 (/.f64 (PI.f64) F) (/.f64 l F) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)) 3))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 6))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))

Calls

9 calls:

129.0ms	l
118.0ms	(*.f64 (PI.f64) l)
111.0ms	(*.f64 (PI.f64) l)
108.0ms	F
89.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Error	Segments	Branch
6.7b	3	`F`
0.3b	3	`l`
6.4b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.3b	3	`(*.f64 (PI.f64) l)`
0.3b	3	`(*.f64 (PI.f64) l)`
8.6b	2	`(/.f64 1 (*.f64 F F))`
8.6b	2	`(/.f64 1 (*.f64 F F))`
8.4b	2	`(*.f64 F F)`
8.4b	2	`(*.f64 F F)`

Compiler

Compiled 814 to 323 computations (60.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.008090001633565e-21	1.5346242774803026e-15
0.0ms	-7.15736038319959e+26	-4397149.713961277

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes184.0ms (1.5%)

Counts

23 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(neg.f64 (.f64 (.f64 l (PI.f64)) (pow.f64 F -2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 1 (/.f64 F (PI.f64))) F)))
(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(+.f64 (/.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 F F) l)) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 1 (/.f64 (*.f64 F F) l))))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))

Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(*.f64 l (PI.f64))

Calls

5 calls:

42.0ms	F
36.0ms	(*.f64 F F)
36.0ms	(*.f64 F F)
32.0ms	l
32.0ms	(*.f64 (PI.f64) l)

Results

Error	Segments	Branch
9.2b	4	`F`
0.5b	3	`l`
0.5b	3	`(*.f64 (PI.f64) l)`
11.1b	5	`(*.f64 F F)`
11.1b	5	`(*.f64 F F)`

Compiler

Compiled 217 to 96 computations (55.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.008090001633565e-21	1.5346242774803026e-15
0.0ms	-7.15736038319959e+26	-4397149.713961277

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes146.0ms (1.2%)

Counts

13 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(neg.f64 (.f64 (.f64 l (PI.f64)) (pow.f64 F -2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 1 (/.f64 F (PI.f64))) F)))
(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l))))
(*.f64 l (PI.f64))

Calls

4 calls:

49.0ms	(*.f64 F F)
38.0ms	l
29.0ms	F
26.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.2b	4	`F`
0.5b	3	`l`
11.1b	5	`(*.f64 F F)`
11.1b	5	`(*.f64 F F)`

Compiler

Compiled 128 to 63 computations (50.8% saved)

bsearch372.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
215.0ms	3.2088501368299744e-22	4.884860790996371e-16
157.0ms	-2.278258568952634e+26	-1399656.224984102

Compiler

Compiled 201 to 140 computations (30.3% saved)

regimes188.0ms (1.5%)

Counts

12 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(neg.f64 (.f64 (.f64 l (PI.f64)) (pow.f64 F -2)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 1 (/.f64 F (PI.f64))) F)))
(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (/.f64 1 F) (PI.f64)) F)))

Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))

Calls

4 calls:

63.0ms	(*.f64 F F)
32.0ms	F
28.0ms	(*.f64 F F)
23.0ms	l

Results

Error	Segments	Branch
9.2b	4	`F`
0.5b	3	`l`
11.1b	5	`(*.f64 F F)`
11.1b	5	`(*.f64 F F)`

Compiler

Compiled 117 to 58 computations (50.4% saved)

bsearch330.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
172.0ms	3.2088501368299744e-22	4.884860790996371e-16
158.0ms	-2.278258568952634e+26	-1399656.224984102

Compiler

Compiled 183 to 131 computations (28.4% saved)

regimes90.0ms (0.7%)

Counts

6 → 5

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))

Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))
(*.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 l (PI.f64))

Calls

4 calls:

31.0ms	l
23.0ms	F
17.0ms	(*.f64 F F)
17.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.0b	5	`F`
8.8b	5	`l`
11.1b	5	`(*.f64 F F)`
11.1b	5	`(*.f64 F F)`

Compiler

Compiled 60 to 32 computations (46.7% saved)

bsearch243.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	1.0839186294752572e-257	4.533957363317625e-248
40.0ms	-1.5168555806525522e-273	-3.4750510680686565e-282
70.0ms	-3.81226165885699e-255	-4.433813419859241e-256
108.0ms	-6.6570255058130306e-167	-3.3393877567923406e-167

Compiler

Compiled 89 to 66 computations (25.8% saved)

regimes155.0ms (1.2%)

Counts

5 → 5

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))

Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))

Calls

4 calls:

61.0ms	l
34.0ms	F
18.0ms	(*.f64 F F)
16.0ms	(*.f64 F F)

Results

Error	Segments	Branch
9.0b	5	`F`
8.8b	5	`l`
11.1b	5	`(*.f64 F F)`
11.1b	5	`(*.f64 F F)`

Compiler

Compiled 52 to 30 computations (42.3% saved)

bsearch292.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	1.0839186294752572e-257	4.533957363317625e-248
29.0ms	-1.5168555806525522e-273	-3.4750510680686565e-282
68.0ms	-3.81226165885699e-255	-4.433813419859241e-256
145.0ms	-6.6570255058130306e-167	-3.3393877567923406e-167

Compiler

Compiled 89 to 66 computations (25.8% saved)

regimes192.0ms (1.5%)

Counts

4 → 5

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))

Outputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 l (PI.f64))

Calls

3 calls:

132.0ms	(*.f64 F F)
32.0ms	F
25.0ms	l

Results

Error	Segments	Branch
11.6b	3	`F`
12.5b	3	`l`
11.4b	5	`(*.f64 F F)`

Compiler

Compiled 39 to 23 computations (41% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	8.10775581578621e-15	8.73773067798324e-15
0.0ms	1.1899458465951716e-151	1.5343085966599007e-149
0.0ms	2.2578881186258096e-245	4.121214859796581e-241
0.0ms	8.728643921801414e-280	1.5043719257118215e-275

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes36.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))

Outputs
(*.f64 l (PI.f64))
(*.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F))
(*.f64 l (PI.f64))

Calls

2 calls:

20.0ms	l
14.0ms	F

Results

Error	Segments	Branch
11.6b	3	`F`
12.5b	3	`l`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch168.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	-3.9170251424517313e-75	-3.449559169800065e-76
88.0ms	-9.394260796620149e-7	-4.473833731541964e-7

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -12.0b remaining (-87.3%)

Threshold costs -12.0b (-87.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

Outputs
(*.f64 l (PI.f64))

Calls

2 calls:

5.0ms	l
3.0ms	F

Results

Error	Segments	Branch
13.7b	1	`F`
13.7b	1	`l`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
23×	`+-commutative_binary64`
22×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	433
1	130	433
2	177	433
3	222	433
4	243	433
5	251	433
6	252	433

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -500000000000000006643777536) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 680564733841876864/340282366920938463463374607431768211456) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -500000000000000006643777536) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 680564733841876864/340282366920938463463374607431768211456) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -227825856895263393215152128) (.f64 l (PI.f64)) (if (<=.f64 l 110591769249305008/340282366920938463463374607431768211456) (-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l)))) (.f64 l (PI.f64))))
(if (<=.f64 l -227825856895263393215152128) (.f64 l (PI.f64)) (if (<=.f64 l 110591769249305008/340282366920938463463374607431768211456) (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) (*.f64 l (PI.f64))))
(if (<=.f64 l -36117383511540160/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 l (PI.f64)) (if (<=.f64 l -2013996985632327/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (if (<=.f64 l -14782233943403598/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 l (PI.f64)) (if (<=.f64 l 5863713629673921/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F)) (*.f64 l (PI.f64))))))
(if (<=.f64 l -36117383511540160/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 l (PI.f64)) (if (<=.f64 l -2013996985632327/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (if (<=.f64 l -14782233943403598/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 l (PI.f64)) (if (<=.f64 l 5863713629673921/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (*.f64 l (PI.f64))))))
(if (<=.f64 (.f64 F F) 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 4920126228925448/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (if (<=.f64 (.f64 F F) 2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 5387515050969975/633825300114114700748351602688) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (*.f64 l (PI.f64))))))
(if (<=.f64 F -8872628463459057/9444732965739290427392) (.f64 l (PI.f64)) (if (<=.f64 F -1994780283845223/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F)) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -500000000000000006643777536) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 680564733841876864/340282366920938463463374607431768211456) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -500000000000000006643777536) (.f64 (PI.f64) l) (if (<=.f64 (.f64 (PI.f64) l) 5316911983139663/2658455991569831745807614120560689152) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) -500000000000000006643777536) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 680564733841876864/340282366920938463463374607431768211456) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -500000000000000006643777536) (.f64 (PI.f64) l) (if (<=.f64 (.f64 (PI.f64) l) 5316911983139663/2658455991569831745807614120560689152) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)) (*.f64 (PI.f64) l)))
(if (<=.f64 l -227825856895263393215152128) (.f64 l (PI.f64)) (if (<=.f64 l 110591769249305008/340282366920938463463374607431768211456) (-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l)))) (.f64 l (PI.f64))))
(if (<=.f64 l -227825856895263393215152128) (.f64 (PI.f64) l) (if (<=.f64 l 6911985578081563/21267647932558653966460912964485513216) (-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 F (/.f64 F l)))) (.f64 (PI.f64) l)))
(if (<=.f64 l -227825856895263393215152128) (.f64 l (PI.f64)) (if (<=.f64 l 110591769249305008/340282366920938463463374607431768211456) (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) (*.f64 l (PI.f64))))
(if (<=.f64 l -227825856895263393215152128) (.f64 (PI.f64) l) (if (<=.f64 l 6911985578081563/21267647932558653966460912964485513216) (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) (*.f64 (PI.f64) l)))
(if (<=.f64 l -36117383511540160/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 l (PI.f64)) (if (<=.f64 l -2013996985632327/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (if (<=.f64 l -14782233943403598/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 l (PI.f64)) (if (<=.f64 l 5863713629673921/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F)) (*.f64 l (PI.f64))))))
(if (<=.f64 l -564334117367815/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (.f64 (PI.f64) l) (if (<=.f64 l -2013996985632327/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (if (<=.f64 l -7391116971701799/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (.f64 (PI.f64) l) (if (<=.f64 l 5863713629673921/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F)) (*.f64 (PI.f64) l)))))
(if (<=.f64 l -564334117367815/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (.f64 (PI.f64) l) (if (<=.f64 l -2013996985632327/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F)) (if (<=.f64 l -7391116971701799/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (.f64 (PI.f64) l) (if (<=.f64 l 5863713629673921/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 (/.f64 l F) (/.f64 (neg.f64 (PI.f64)) F)) (*.f64 (PI.f64) l)))))
(if (<=.f64 l -36117383511540160/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 l (PI.f64)) (if (<=.f64 l -2013996985632327/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (if (<=.f64 l -14782233943403598/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 l (PI.f64)) (if (<=.f64 l 5863713629673921/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (*.f64 l (PI.f64))))))
(if (<=.f64 l -564334117367815/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (.f64 (PI.f64) l) (if (<=.f64 l -2013996985632327/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (if (<=.f64 l -7391116971701799/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (.f64 (PI.f64) l) (if (<=.f64 l 5863713629673921/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F))) (*.f64 (PI.f64) l)))))
(if (<=.f64 l -564334117367815/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (.f64 (PI.f64) l) (if (<=.f64 l -2013996985632327/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F)) (if (<=.f64 l -7391116971701799/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (.f64 (PI.f64) l) (if (<=.f64 l 5863713629673921/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F)) (*.f64 (PI.f64) l)))))
(if (<=.f64 (.f64 F F) 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 4920126228925448/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (if (<=.f64 (.f64 F F) 2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 (+.f64 1 (.f64 l (PI.f64))) 1) (if (<=.f64 (.f64 F F) 5387515050969975/633825300114114700748351602688) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (*.f64 l (PI.f64))))))
(if (<=.f64 (.f64 F F) 5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 (.f64 F F) 615015778615681/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (if (<=.f64 (.f64 F F) 2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (+.f64 (+.f64 (.f64 (PI.f64) l) 1) -1) (if (<=.f64 (.f64 F F) 5387515050969975/633825300114114700748351602688) (.f64 l (/.f64 (neg.f64 (PI.f64)) (.f64 F F))) (*.f64 (PI.f64) l)))))
(if (<=.f64 F -8872628463459057/9444732965739290427392) (.f64 l (PI.f64)) (if (<=.f64 F -1994780283845223/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 l (/.f64 (neg.f64 (/.f64 (PI.f64) F)) F)) (*.f64 l (PI.f64))))
(if (<=.f64 F -8872628463459057/9444732965739290427392) (.f64 (PI.f64) l) (if (<=.f64 F -1994780283845223/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 (PI.f64) l)))
(if (<=.f64 F -8872628463459057/9444732965739290427392) (.f64 (PI.f64) l) (if (<=.f64 F -1994780283845223/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 l (neg.f64 (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

Compiler

Compiled 289 to 146 computations (49.5% saved)

soundness56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-def_binary64`
157×	`fma-neg_binary64`
49×	`cancel-sign-sub-inv_binary64`
38×	`associate-/l*_binary64`
33×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	57	20
3	139	20
4	236	20
5	375	20
6	501	20
7	641	20
8	833	20
9	1103	20
10	1157	20

Stop Event

1×

saturated

Compiler

Compiled 46 to 28 computations (39.1% saved)

end98.0ms (0.8%)

Compiler: Compiled 273 to 107 computations (60.8% saved)

Iter	Nodes	Cost
0	9	88
1	18	88
2	48	88
3	94	88
4	108	88
5	156	88
6	228	88
7	265	88
8	307	88
9	476	88
10	504	88

Iter	Nodes	Cost
0	9	88
1	18	88
2	48	88
3	94	88
4	108	88
5	156	88
6	228	88
7	265	88
8	307	88
9	476	88
10	504	88

Iter	Nodes	Cost
0	9	88
1	18	88
2	48	88
3	94	88
4	108	88
5	156	88
6	228	88
7	265	88
8	307	88
9	476	88
10	504	88