Details

analyze937.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	93.6%	0.1%	0%	6.2%	0%	8
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	9
12.1%	10.9%	79.6%	0.1%	0%	9.4%	0%	10
15.6%	13.7%	73.7%	0.1%	0%	12.5%	0%	11
20.5%	17.7%	68.8%	0.1%	0.8%	12.5%	0%	12

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.7s (6.5%)

Results

2.2s	2323×	body	1024	valid
1.6s	4802×	body	256	valid
647.0ms	1126×	body	512	valid
217.0ms	804×	body	256	infinite
91.0ms	318×	body	256	invalid
8.0ms	5×	body	2048	valid

Bogosity

preprocess141.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

763×	`fma-def_binary64`
568×	`unswap-sqr_binary64`
555×	`fma-neg_binary64`
386×	`distribute-neg-frac_binary64`
380×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	140
1	138	112
2	347	112
3	815	112
4	2102	112
5	4853	112
6	6810	112
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 F)))) (.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (+.f64 (.f64 B B) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 F (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 x x) 2) (.f64 2 F)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 B (/.f64 1 (tan.f64 x)))) (.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 B)) (neg.f64 (/.f64 1 2)))))

Outputs
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (.f64 (neg.f64 x) (/.f64 1 (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 x 2)) -1/2)))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 F)))) (.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (+.f64 (.f64 B B) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 F)))) (.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (*.f64 x 2) (fma.f64 B B 2)) -1/2)))
(fma.f64 (/.f64 B (sin.f64 F)) (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 F)))
(-.f64 (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2)) (/.f64 x (tan.f64 F)))
(+.f64 (neg.f64 (.f64 F (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 x x) 2) (.f64 2 F)) (neg.f64 (/.f64 1 2)))))
(+.f64 (.f64 (neg.f64 F) (/.f64 1 (tan.f64 B))) (.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 x x 2) (*.f64 F 2)) -1/2)))
(fma.f64 (/.f64 x (sin.f64 B)) (pow.f64 (fma.f64 F 2 (fma.f64 x x 2)) -1/2) (/.f64 (neg.f64 F) (tan.f64 B)))
(fma.f64 (/.f64 x (sin.f64 B)) (pow.f64 (fma.f64 x x (fma.f64 F 2 2)) -1/2) (/.f64 (neg.f64 F) (tan.f64 B)))
(-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 x x (fma.f64 F 2 2)) -1/2) (sin.f64 B)) x) (/.f64 F (tan.f64 B)))
(-.f64 (*.f64 x (/.f64 (pow.f64 (fma.f64 x x (fma.f64 F 2 2)) -1/2) (sin.f64 B))) (/.f64 F (tan.f64 B)))
(+.f64 (neg.f64 (.f64 B (/.f64 1 (tan.f64 x)))) (.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 B)) (neg.f64 (/.f64 1 2)))))
(+.f64 (.f64 B (neg.f64 (/.f64 1 (tan.f64 x)))) (.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 B 2)) -1/2)))
(fma.f64 (/.f64 F (sin.f64 x)) (pow.f64 (fma.f64 B 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 B) (tan.f64 x)))
(-.f64 (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (fma.f64 B 2 (fma.f64 F F 2)) -1/2)) (/.f64 B (tan.f64 x)))

Compiler

Compiled 33 to 26 computations (21.2% saved)

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-neg-in_binary64`
586×	`div-sub_binary64`
474×	`fma-neg_binary64`
426×	`distribute-lft-neg-in_binary64`
381×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	49	28
2	107	28
3	218	28
4	503	28
5	1505	28
6	3924	28
7	6363	28
8	7670	28

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))

Outputs
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (.f64 (neg.f64 x) (/.f64 1 (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 x 2)) -1/2)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))

eval1.0ms (0%)

Compiler: Compiled 49 to 32 computations (34.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

16.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.9b	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
▶	17.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))

Status

Error

Program

▶

16.9b

(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))

▶

17.0b

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (tan.f64 B))
✓	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	6.4b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
✓	18.2b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 120 to 71 computations (40.8% saved)

series41.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	F	@	inf	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
4.0ms	x	@	-inf	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
4.0ms	B	@	inf	(/.f64 1 (tan.f64 B))
3.0ms	F	@	0	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
3.0ms	F	@	0	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`fma-def_binary64`
351×	`expm1-udef_binary64`
351×	`log1p-udef_binary64`
295×	`log-pow_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	419	44
2	5402	44

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

Inputs
(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
(*.f64 x (/.f64 1 (tan.f64 B)))
(/.f64 1 (tan.f64 B))

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

simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

779×	`distribute-rgt-in_binary64`
606×	`times-frac_binary64`
350×	`fma-def_binary64`
228×	`*-commutative_binary64`
204×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	3330
1	1201	2917
2	3952	2673

Stop Event

1×	node limit

Counts

180 → 195

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 7))) (pow.f64 F 6))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))) (pow.f64 F 5)))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (.f64 -1/48 (pow.f64 (+.f64 2 (.f64 2 x)) 3)))) (pow.f64 F 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (pow.f64 F 5))))) (/.f64 1 F))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (.f64 1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 F 7) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) 2)) (+.f64 (.f64 2 x) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 (+.f64 (.f64 2 x) 2) 2))))) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)))) (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (sin.f64 B)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (.f64 (sin.f64 B) (pow.f64 F 4)))) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2))))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 1/2 (/.f64 (+.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/2 (.f64 (+.f64 (.f64 2 x) 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2))))) (*.f64 (sin.f64 B) (pow.f64 F 6)))))) (/.f64 1 (sin.f64 B)))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))

Outputs
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(fma.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 7))) (pow.f64 F 6))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (+.f64 (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7)))) (pow.f64 F 6))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (fma.f64 (.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7)))) (pow.f64 F 6) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (fma.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7))) (pow.f64 F 6)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 1 F))
(+.f64 (/.f64 1 F) (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3)))
(+.f64 (/.f64 1 F) (/.f64 (-.f64 -1 x) (pow.f64 F 3)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (fma.f64 1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 1 F))))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3)) (+.f64 (/.f64 1 F) (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) 3/8)))
(+.f64 (/.f64 (-.f64 -1 x) (pow.f64 F 3)) (+.f64 (/.f64 1 F) (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) 3/8)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (fma.f64 -1/6 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 -1/48 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 1 F)))))))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3)) (fma.f64 -1/6 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) -7/48) (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) 3/8)) (/.f64 1 F))))
(+.f64 (/.f64 (-.f64 -1 x) (pow.f64 F 3)) (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) -5/16) (+.f64 (/.f64 1 F) (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) 3/8))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (/.f64 (*.f64 1/2 (fma.f64 2 x 2)) (pow.f64 F 3)) (/.f64 1 F))
(fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (/.f64 -1 F))
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(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x)))))
(fma.f64 (neg.f64 (.f64 (/.f64 F (sin.f64 B)) x)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) x)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 (.f64 F (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2))) (.f64 x x)) (sin.f64 B)) (sqrt.f64 (+.f64 2 (.f64 F F)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (.f64 1/2 (.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (.f64 x x) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)))) (sqrt.f64 (fma.f64 F F 2))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) x)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 F (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (sqrt.f64 (fma.f64 F F 2))) 1/2) (sin.f64 B))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) x)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 (.f64 F (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2))) (.f64 x x)) (sin.f64 B)) (sqrt.f64 (+.f64 2 (.f64 F F)))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))) (.f64 (.f64 -1/2 (/.f64 F (/.f64 (sin.f64 B) (.f64 (pow.f64 x 3) (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (.f64 F F)) 4)) (neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (+.f64 2 (.f64 F F))))))))) (sqrt.f64 (+.f64 2 (.f64 F F)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (fma.f64 1/2 (.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (.f64 x x) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)))) (sqrt.f64 (fma.f64 F F 2))) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (.f64 -1/2 F) (/.f64 (sin.f64 B) (.f64 (pow.f64 x 3) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2) (fma.f64 F F 2)))))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (.f64 1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 x (.f64 x (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))) (.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)) (fma.f64 F F 2))))))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (/.f64 F (sin.f64 B)) x))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 -1/3 (*.f64 x B) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (pow.f64 B 3) (.f64 x 1/45)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B))))
(fma.f64 (neg.f64 (.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (.f64 B -1/3) x (/.f64 x B)))
(fma.f64 (.f64 x -1/45) (pow.f64 B 3) (fma.f64 -1/3 (.f64 x B) (/.f64 x B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (pow.f64 B 5) (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45))))) (fma.f64 -1 (.f64 (pow.f64 B 3) (.f64 x 1/45)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 x B)))))
(-.f64 (fma.f64 (neg.f64 (.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (.f64 B -1/3) x (/.f64 x B))) (.f64 (pow.f64 B 5) (+.f64 (.f64 x -1/135) (*.f64 x 1/105))))
(-.f64 (fma.f64 (.f64 x -1/45) (pow.f64 B 3) (fma.f64 -1/3 (.f64 x B) (/.f64 x B))) (.f64 (pow.f64 B 5) (.f64 x 2/945)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 F (sin.f64 B))
✓	0.2b	(/.f64 (neg.f64 x) (tan.f64 B))
✓	6.4b	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
✓	18.2b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

Compiler

Compiled 62 to 29 computations (53.2% saved)

series58.0ms (0.1%)

Counts

4 → 88

Calls

27 calls:

Time	Variable		Point	Expression
39.0ms	B	@	inf	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
2.0ms	B	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
2.0ms	F	@	0	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
1.0ms	F	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	x	@	-inf	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))

rewrite146.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
361×	`prod-diff_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
250×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	323	50
2	4198	50

Stop Event

1×	node limit

Counts

4 → 294

Calls

Call 1

Inputs
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 F (sin.f64 B))

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

simplify107.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

824×	`times-frac_binary64`
693×	`distribute-rgt-in_binary64`
685×	`distribute-lft-in_binary64`
383×	`fma-def_binary64`
204×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	3726
1	1093	3265
2	4017	3021

Stop Event

1×	node limit

Counts

382 → 407

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (.f64 1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3))))))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (pow.f64 F 2))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 5))) (pow.f64 F 4)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (pow.f64 F 2))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 5))) (pow.f64 F 4))) (.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 7))) (pow.f64 F 6))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))) (pow.f64 F 5)))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (.f64 -1/48 (pow.f64 (+.f64 2 (.f64 2 x)) 3)))) (pow.f64 F 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (pow.f64 F 5))))) (/.f64 1 F))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 (pow.f64 F 3) (sin.f64 B)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 (pow.f64 F 3) (sin.f64 B)))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 5))) (/.f64 (pow.f64 F 5) (sin.f64 B)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (/.f64 1 (sin.f64 B)) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (*.f64 (sin.f64 B) (pow.f64 F 4))))))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (+.f64 (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 1/3 x)) B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 1/3 x)) B) (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (pow.f64 B 3)))))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))))) (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 1/3 x)) B) (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (pow.f64 B 3))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 (+.f64 (.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (.f64 -1 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))) x))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (.f64 -1 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))) x) (.f64 3/2 (.f64 (/.f64 (.f64 F (pow.f64 x 2)) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5)))))))
(+.f64 (.f64 -5/2 (.f64 (/.f64 (.f64 F (pow.f64 x 3)) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (.f64 -1 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))) x) (.f64 3/2 (.f64 (/.f64 (*.f64 F (pow.f64 x 2)) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) F) (sin.f64 B)) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) F) (sin.f64 B)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 F (+.f64 (pow.f64 F 2) 2))) (.f64 (sin.f64 B) x))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) F) (sin.f64 B)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 F (+.f64 (pow.f64 F 2) 2))) (.f64 (sin.f64 B) x))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 F (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2))))) (.f64 (sin.f64 B) (pow.f64 x 2))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) F) (sin.f64 B)) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 F (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2))) (.f64 (sin.f64 B) x))) (+.f64 (/.f64 (.f64 F (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))) (sin.f64 B)) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 F (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2))) (.f64 (sin.f64 B) x))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 F (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2))))) (.f64 (sin.f64 B) (pow.f64 x 2))) (+.f64 (/.f64 (.f64 F (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/3 (*.f64 B x)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/3 (.f64 B x)) (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))))
(+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5)) (+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/3 (.f64 B x)) (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 F B)
(+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (+.f64 (/.f64 F B) (.f64 -1 (.f64 (pow.f64 B 5) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (*.f64 -1/5040 F))))))))

Outputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 3/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 5)))) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F))))))
(-.f64 (fma.f64 3/2 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 7)))) (fma.f64 3/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 5)))) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))))
(-.f64 (fma.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7)))) (fma.f64 3/2 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 x -1/2))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (.f64 F F))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 2 -1/2) (pow.f64 x -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 x -1/2)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 2 (.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (*.f64 F F))))))
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(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(*.f64 -1 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (.f64 (.f64 1/3 B) x))
(-.f64 (.f64 x (.f64 B 1/3)) (/.f64 x B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/3 (.f64 B x)) (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/3 (.f64 x B) (.f64 (*.f64 x 1/45) (pow.f64 B 3))))
(-.f64 (fma.f64 1/3 (.f64 x B) (.f64 x (*.f64 1/45 (pow.f64 B 3)))) (/.f64 x B))
(-.f64 (.f64 x (+.f64 (.f64 B 1/3) (*.f64 1/45 (pow.f64 B 3)))) (/.f64 x B))
(+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5)) (+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/3 (.f64 B x)) (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)))))
(fma.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 (.f64 x 1/45) -1/3))) (pow.f64 B 5) (fma.f64 -1 (/.f64 x B) (fma.f64 1/3 (.f64 x B) (.f64 (*.f64 x 1/45) (pow.f64 B 3)))))
(fma.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (pow.f64 B 5) (-.f64 (fma.f64 1/3 (.f64 x B) (.f64 x (*.f64 1/45 (pow.f64 B 3)))) (/.f64 x B)))
(fma.f64 (.f64 x 2/945) (pow.f64 B 5) (-.f64 (.f64 x (+.f64 (.f64 B 1/3) (.f64 1/45 (pow.f64 B 3)))) (/.f64 x B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 F B)
(+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B))
(fma.f64 1/6 (*.f64 F B) (/.f64 F B))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)))
(fma.f64 -1 (.f64 (.f64 F -7/360) (pow.f64 B 3)) (fma.f64 1/6 (*.f64 F B) (/.f64 F B)))
(-.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (.f64 (*.f64 F -7/360) (pow.f64 B 3)))
(+.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (.f64 (pow.f64 B 3) (*.f64 F 7/360)))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (+.f64 (/.f64 F B) (.f64 -1 (.f64 (pow.f64 B 5) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (*.f64 -1/5040 F))))))))
(fma.f64 -1 (.f64 (.f64 F -7/360) (pow.f64 B 3)) (+.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (neg.f64 (.f64 (fma.f64 1/6 (.f64 F -7/360) (.f64 F 1/840)) (pow.f64 B 5)))))
(-.f64 (fma.f64 1/6 (.f64 F B) (fma.f64 (neg.f64 (pow.f64 B 5)) (fma.f64 F 1/840 (.f64 F -7/2160)) (/.f64 F B))) (.f64 (.f64 F -7/360) (pow.f64 B 3)))
(-.f64 (+.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (.f64 (pow.f64 B 3) (.f64 F 7/360))) (.f64 (*.f64 F -31/15120) (pow.f64 B 5)))

eval860.0ms (1.2%)

Compiler: Compiled 25314 to 13509 computations (46.6% saved)

prune344.0ms (0.5%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	573	29	602
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	575	29	604

Error

0.0b

Counts

604 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.4b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	13.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
	33.5b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	33.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	37.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4)) 2))
	33.4b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	36.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
▶	17.0b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	34.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	16.9b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	40.8b	(fma.f64 (*.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sin.f64 B))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	31.7b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	40.6b	(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	16.9b	(fma.f64 (*.f64 (/.f64 1 (sin.f64 B)) F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
▶	11.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))
	38.9b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	31.7b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	33.7b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	45.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))))
	49.0b	(/.f64 1 (sin.f64 B))
	13.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
	17.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))))
	38.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
▶	17.4b	(+.f64 (neg.f64 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	15.9b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
	34.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (sqrt.f64 (.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))
	34.5b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
▶	50.6b	(/.f64 -1 (sin.f64 B))
	28.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (log1p.f64 (expm1.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))))))

Compiler

Compiled 1374 to 1030 computations (25% saved)

localize111.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (tan.f64 B))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.6b	(*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))
✓	5.9b	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2)))

Compiler

Compiled 134 to 89 computations (33.6% saved)

series41.0ms (0.1%)

Counts

2 → 44

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2)))
4.0ms	x	@	0	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2)))
3.0ms	x	@	inf	(*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))
3.0ms	F	@	0	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2)))
2.0ms	F	@	inf	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2)))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log-prod_binary64`
368×	`pow2_binary64`
254×	`pow1/3_binary64`
252×	`expm1-udef_binary64`
252×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	299	32
2	3586	32

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs

(*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2)))

(*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/12) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 F F (fma.f64 2 x 2))) -1/2))))))

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-rgt-in_binary64`
763×	`distribute-lft-in_binary64`
427×	`times-frac_binary64`
338×	`fma-def_binary64`
229×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	2694
1	1075	2110
2	3825	2017

Stop Event

1×	node limit

Counts

105 → 131

Calls

Call 1

Inputs
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 7) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)))))))) (.f64 1/16 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (.f64 2 x) 2))) (.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (.f64 2 x) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1/5040 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 1/6 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))))) (pow.f64 B 5))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) (/.f64 F (sin.f64 B)))) (pow.f64 x 3))))))
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 4) (+.f64 (.f64 -1/4 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/8 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))))) (.f64 1/16 (.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))))) (pow.f64 F 6))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 4) (+.f64 (.f64 -1/4 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/8 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 5))) (/.f64 1 F)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (pow.f64 F 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (+.f64 (.f64 2 x) 2) 3)) (+.f64 (.f64 1/16 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 -1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))))))) (pow.f64 F 7))) (/.f64 1 F))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2)) (pow.f64 F 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 3) (pow.f64 F 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)))) (pow.f64 F 7)))))))) (/.f64 1 F))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (pow.f64 x 2))))))

Outputs
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) (sin.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (.f64 -1/2 (/.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) (sin.f64 B)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) (sin.f64 B))) (fma.f64 -1 (.f64 (pow.f64 F 5) (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))) (.f64 (pow.f64 F 5) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) -3/8))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (.f64 -1/2 (/.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) (sin.f64 B))))) (.f64 (pow.f64 F 5) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (*.f64 (sin.f64 B) (fma.f64 2 x 2))) 3/8)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 7) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)))))))) (.f64 1/16 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) (sin.f64 B))) (fma.f64 -1 (.f64 (pow.f64 F 5) (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (fma.f64 -1 (.f64 (pow.f64 F 7) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 1 (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))) (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (.f64 (.f64 1/16 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))))
(+.f64 (-.f64 (.f64 (pow.f64 F 5) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) -3/8))) (.f64 (pow.f64 F 7) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))))) (.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (.f64 (sin.f64 B) (fma.f64 2 x 2)))))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))))
(+.f64 (-.f64 (.f64 (pow.f64 F 5) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) 3/8)) (.f64 (pow.f64 F 7) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) -3/8) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (/.f64 (/.f64 1/16 (fma.f64 2 x 2)) (sin.f64 B))))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (*.f64 -1/2 (/.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (*.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)))) (pow.f64 F 4))))
(-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8) (pow.f64 F 4)))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) 3/8) (pow.f64 F 4)))
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(-.f64 (-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 -3/2 (.f64 x x))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) 3/2) (.f64 x x) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (pow.f64 x 2))))))
(fma.f64 -1 (.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) -3/2) (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 7))))) (+.f64 (fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))) (neg.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) -3/2)))))
(-.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 -3/2 (.f64 x x)))) (*.f64 (pow.f64 x 3) (-.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7))) (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (/.f64 (fma.f64 F F 2) -3/2)))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) 3/2) (.f64 x x) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7))) (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (/.f64 (fma.f64 F F 2) -3/2)))) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 -1 (sin.f64 B))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	B	@	inf	(/.f64 -1 (sin.f64 B))
1.0ms	B	@	-inf	(/.f64 -1 (sin.f64 B))
1.0ms	B	@	0	(/.f64 -1 (sin.f64 B))

rewrite60.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
434×	`*-un-lft-identity_binary64`
419×	`add-log-exp_binary64`
419×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	99	6
2	1142	6

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 -1 (sin.f64 B))

Outputs

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

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

523×	`cancel-sign-sub-inv_binary64`
522×	`fma-def_binary64`
441×	`neg-mul-1_binary64`
430×	`neg-sub0_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	55
1	51	49
2	112	49
3	305	49
4	718	49
5	1827	49
6	4135	49
7	5444	49
8	6815	49

Stop Event

1×	node limit

Counts

25 → 28

Calls

Call 1

Inputs
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))

Outputs
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6)) (/.f64 1 B))
(fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B)))
(fma.f64 B (fma.f64 -7/360 (*.f64 B B) -1/6) (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))
(-.f64 (fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6))) (/.f64 1 B))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B))))
(fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B))))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B))))

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
✓	0.3b	(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
✓	0.4b	(/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))
✓	17.8b	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))

Compiler

Compiled 107 to 82 computations (23.4% saved)

series25.0ms (0%)

Counts

4 → 86

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
2.0ms	B	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
2.0ms	F	@	0	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
1.0ms	F	@	0	(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))

rewrite91.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`fma-def_binary64`
344×	`fma-neg_binary64`
296×	`expm1-udef_binary64`
296×	`log1p-udef_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	376	56
2	5285	56

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
(/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))
(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/2 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (.f64 (sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 F 6) (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 (fma.f64 2 x 2) (-.f64 (fma.f64 2 x 2) (.f64 F F)) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (pow.f64 F 4) (pow.f64 (fma.f64 2 x 2) 2))) (-.f64 (.f64 F F) (fma.f64 2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2))))) (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 F F (fma.f64 2 x 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) 2)) (.f64 (cbrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) (.f64 (sqrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)) (sqrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) (/.f64 1 (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 B) (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) 2)) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) 2)) (sqrt.f64 B)) (/.f64 (cbrt.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) 3) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B)) 1))))))

simplify126.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

752×	`times-frac_binary64`
682×	`associate-/l*_binary64`
529×	`distribute-rgt-in_binary64`
526×	`distribute-lft-in_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	4167
1	1098	3637
2	3453	3346

Stop Event

1×	node limit

Counts

191 → 230

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 4)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
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(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 (-.f64 (.f64 -1 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (/.f64 1 B)) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 (-.f64 (.f64 -1 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (/.f64 1 B)) x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (/.f64 1 B)) x) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(*.f64 -1 (/.f64 x B))
(*.f64 -1 (/.f64 x B))
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)

Outputs
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))))
(sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (*.f64 F F) (fma.f64 2 x 2)))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 F (/.f64 (fma.f64 2 x 2) F))) 1) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (*.f64 (/.f64 F (fma.f64 2 x 2)) F)) 1))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 4)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 (/.f64 1 (fma.f64 2 x 2)) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 1 (fma.f64 2 x 2)))) 2)) (.f64 (pow.f64 F 4) (sqrt.f64 (fma.f64 2 x 2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (*.f64 F F) (fma.f64 2 x 2))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 F (/.f64 (fma.f64 2 x 2) F))) 1) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 -1/2 (fma.f64 2 x 2))) 2)) (.f64 (pow.f64 F 4) (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (.f64 (/.f64 F (fma.f64 2 x 2)) F)) 1)) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2)) (*.f64 (pow.f64 F 4) (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 (.f64 2 x) 2)) (.f64 (pow.f64 F 6) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) 2)) (+.f64 (.f64 2 x) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 (+.f64 (.f64 2 x) 2) 2))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 4)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 (fma.f64 2 x 2)) (pow.f64 F 6)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 (/.f64 1 (fma.f64 2 x 2)) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 1 (fma.f64 2 x 2)))) 2)) (fma.f64 2 x 2)) (/.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (fma.f64 2 x 2) 2)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 (/.f64 1 (fma.f64 2 x 2)) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 1 (fma.f64 2 x 2)))) 2)) (.f64 (pow.f64 F 4) (sqrt.f64 (fma.f64 2 x 2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (*.f64 F F) (fma.f64 2 x 2)))))))
(+.f64 (fma.f64 (.f64 -1/2 (sqrt.f64 (fma.f64 2 x 2))) (.f64 (pow.f64 F 6) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)) (/.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 -1/2 (fma.f64 2 x 2))) 2) (fma.f64 2 x 2))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 -1/2 (fma.f64 2 x 2))) 2)) (.f64 (pow.f64 F 4) (sqrt.f64 (fma.f64 2 x 2)))))) (.f64 (+.f64 (*.f64 -1/2 (/.f64 F (/.f64 (fma.f64 2 x 2) F))) 1) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 2 x 2)) (+.f64 (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2))) (pow.f64 F 4)) (.f64 -1/2 (.f64 (pow.f64 F 6) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)) (/.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2) (fma.f64 2 x 2))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4))))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (.f64 (/.f64 F (fma.f64 2 x 2)) F)) 1)))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 1 F))
(+.f64 (/.f64 1 F) (/.f64 (fma.f64 x -1 -1) (pow.f64 F 3)))
(+.f64 (/.f64 1 F) (/.f64 (-.f64 -1 x) (pow.f64 F 3)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 5))) (/.f64 1 F)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 -1/2 (fma.f64 2 x 2)) 2)) (pow.f64 F 5)) (/.f64 1 F)))
(+.f64 (/.f64 (fma.f64 x -1 -1) (pow.f64 F 3)) (fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (fma.f64 x -1 -1) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 5)) (/.f64 1 F)))
(+.f64 (/.f64 (-.f64 -1 x) (pow.f64 F 3)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 5)) (/.f64 1 F)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/2 (.f64 (+.f64 (.f64 2 x) 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2))))) (pow.f64 F 7))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (pow.f64 F 5))) (/.f64 1 F))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/2 (.f64 (fma.f64 2 x 2) (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 -1/2 (fma.f64 2 x 2)) 2))) (.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 7)) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 -1/2 (fma.f64 2 x 2)) 2)) (pow.f64 F 5)) (/.f64 1 F))))
(+.f64 (fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (fma.f64 x -1 -1) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 5)) (/.f64 1 F)) (fma.f64 -1/2 (/.f64 (fma.f64 1/2 (*.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 (fma.f64 x -1 -1) 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 7)) (/.f64 (fma.f64 x -1 -1) (pow.f64 F 3))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 5)) (/.f64 1 F)) (fma.f64 -1/2 (/.f64 (fma.f64 1/2 (.f64 (fma.f64 2 x 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 7)) (/.f64 (-.f64 -1 x) (pow.f64 F 3))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (neg.f64 (/.f64 1 F)))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 -1 F))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (pow.f64 F 5))) (.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3)))) (/.f64 1 F))
(-.f64 (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 -1/2 (fma.f64 2 x 2)) 2)) (pow.f64 F 5)) (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)))) (/.f64 1 F))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 (-.f64 (pow.f64 (fma.f64 x -1 -1) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 5))) (/.f64 -1 F))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 5))) (/.f64 -1 F))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/2 (.f64 (+.f64 (.f64 2 x) 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2))))) (pow.f64 F 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (pow.f64 F 5))) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))))) (/.f64 1 F))
(-.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/2 (.f64 (fma.f64 2 x 2) (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 -1/2 (fma.f64 2 x 2)) 2))) (.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 7)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 -1/2 (fma.f64 2 x 2)) 2)) (pow.f64 F 5)) (/.f64 (fma.f64 2 x 2) (pow.f64 F 3))))) (/.f64 1 F))
(fma.f64 1/2 (/.f64 (fma.f64 1/2 (*.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 (fma.f64 x -1 -1) 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 7)) (fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 (-.f64 (pow.f64 (fma.f64 x -1 -1) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 5))) (/.f64 -1 F)))
(fma.f64 1/2 (+.f64 (+.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 5))) (/.f64 (fma.f64 1/2 (.f64 (fma.f64 2 x 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 7))) (/.f64 -1 F))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (.f64 (.f64 x x) (sqrt.f64 (+.f64 2 (.f64 F F))))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))
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1
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-1
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(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
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(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) F (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) F (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) F (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) F (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) F (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) F (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) F (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))) F) (*.f64 -1 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))) F (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)

localize97.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (tan.f64 B) x)
✓	0.2b	(/.f64 1 (/.f64 (tan.f64 B) x))
	6.4b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	18.2b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 120 to 67 computations (44.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(/.f64 (tan.f64 B) x)
1.0ms	B	@	-inf	(/.f64 (tan.f64 B) x)
1.0ms	B	@	inf	(/.f64 (tan.f64 B) x)
1.0ms	x	@	-inf	(/.f64 (tan.f64 B) x)
0.0ms	x	@	0	(/.f64 (tan.f64 B) x)

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
680×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	12
2	1893	12

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (tan.f64 B) x))
(/.f64 (tan.f64 B) x)

Outputs

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

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

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

672×	`distribute-rgt-neg-in_binary64`
630×	`associate-l_binary64`
515×	`associate-r_binary64`
371×	`distribute-neg-in_binary64`
356×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	611
1	142	595
2	431	585
3	1673	583
4	6719	583

Stop Event

1×	node limit

Counts

116 → 86

Calls

Call 1

Inputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))

Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B)))
(fma.f64 -1/3 (*.f64 x B) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B))))
(-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 (*.f64 (pow.f64 B 3) x) 1/45))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 x (.f64 B -1/3) (/.f64 x B)))
(fma.f64 x (.f64 B -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (/.f64 x B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 x B)))))
(-.f64 (-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 (.f64 (pow.f64 B 3) x) 1/45)) (.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 x (.f64 B -1/3) (/.f64 x B)) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 x (.f64 (pow.f64 B 3) 1/45))))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 (pow.f64 B 5) (.f64 x -2/945) (fma.f64 x (*.f64 B -1/3) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (+.f64 (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)) (*.f64 17/315 (/.f64 (pow.f64 B 7) x))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))

localize117.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (tan.f64 B))
✓	0.7b	(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)
	6.4b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	18.2b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 141 to 83 computations (41.1% saved)

series34.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	B	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)
3.0ms	B	@	-inf	(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)
2.0ms	B	@	-inf	(cbrt.f64 (tan.f64 B))
2.0ms	B	@	inf	(cbrt.f64 (tan.f64 B))
2.0ms	B	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`pow1_binary64`
634×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
617×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	170	11
2	1839	11

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)
(cbrt.f64 (tan.f64 B))

Outputs

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

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

simplify179.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
625×	`cube-prod_binary64`
561×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	168
1	29	144
2	40	144
3	54	144
4	82	144
5	177	144
6	562	144
7	1227	144
8	1319	144
9	1457	144
10	1620	144
11	1859	144
12	2186	144
13	2614	144
14	3122	144
15	3728	144
16	4457	144
17	4776	144
18	5062	144
19	5286	144
20	5466	144
21	5548	144
22	6491	144
23	7468	144
24	7934	144

Stop Event

1×	node limit

Counts

67 → 56

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (pow.f64 1 1/3))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 B) (cos.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 B) (cos.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 B) (cos.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 B) (cos.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 B) (cos.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 B) (cos.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 B) (cos.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) (cos.f64 B)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 B) (cos.f64 B)))

eval687.0ms (1%)

Compiler: Compiled 32415 to 22284 computations (31.3% saved)

prune204.0ms (0.3%)

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	818	36	854
Fresh	18	6	24
Picked	1	0	1
Done	3	1	4
Total	840	43	883

Error

0.0b

Counts

883 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	52.2b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
▶	50.6b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	50.7b	(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
	52.4b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	50.7b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	50.7b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	52.4b	(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
	33.4b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	51.0b	(/.f64 (-.f64 -1 x) B)
▶	11.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))
	52.4b	(neg.f64 (/.f64 x B))
	16.9b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	34.5b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	52.6b	(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
	46.7b	(pow.f64 (/.f64 B (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) -1)
	56.9b	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
	38.7b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	36.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
▶	31.7b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
▶	33.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	33.7b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
✓	50.6b	(/.f64 -1 (sin.f64 B))
	51.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
▶	56.0b	(/.f64 -1 B)
	38.4b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	53.6b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	17.0b	(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	50.8b	(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 B))) 2) (/.f64 -1 (cbrt.f64 (sin.f64 B))))
	34.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (sqrt.f64 (*.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))
	52.8b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	52.2b	(/.f64 (-.f64 1 x) B)
	31.7b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	33.7b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	57.2b	(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
	31.7b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
	34.1b	(+.f64 (neg.f64 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	34.5b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	55.8b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B) 3))
	15.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
	56.1b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	53.5b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	60.4b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	49.0b	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1493 to 1130 computations (24.3% saved)

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (tan.f64 B))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.4b	(/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
✓	5.9b	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))

Compiler

Compiled 94 to 57 computations (39.4% saved)

series14.0ms (0%)

Counts

2 → 44

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
2.0ms	x	@	inf	(/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
1.0ms	F	@	0	(/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
1.0ms	x	@	inf	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
1.0ms	x	@	-inf	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
394×	`pow-prod-down_binary64`
332×	`pow2_binary64`
234×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	272	30
2	3474	30

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
(/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sin.f64 B) F) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 2) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (cbrt.f64 (/.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sqrt.f64 (/.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (sin.f64 B) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 F) (neg.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 F) (*.f64 (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 F) (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 F (sin.f64 B))) (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) 1) (*.f64 (neg.f64 (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F -1) (*.f64 (sin.f64 B) (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) -1) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 F)) (*.f64 (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) 1/4)) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (sin.f64 B)) 1) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (sin.f64 B)) (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2)))) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 1) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 F (sin.f64 B))) (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 F (sin.f64 B)) -1) (neg.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (neg.f64 F)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (fma.f64 F F (fma.f64 2 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 F (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (fma.f64 F F (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 1))))))

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

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

749×	`distribute-rgt-in_binary64`
744×	`distribute-lft-in_binary64`
429×	`times-frac_binary64`
331×	`fma-def_binary64`
223×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	2695
1	1061	2143
2	3706	2044

Stop Event

1×	node limit

Counts

134 → 160

Calls

Call 1

Inputs
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 7) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)))))))) (.f64 1/16 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (.f64 2 x) 2))) (.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (.f64 2 x) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1/5040 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 1/6 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))))) (pow.f64 B 5))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) (/.f64 F (sin.f64 B)))) (pow.f64 x 3))))))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))))
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 2) (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 2) (+.f64 (*.f64 2 x) 2))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 5))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/8 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))))) (pow.f64 F 6))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (*.f64 2 x) 2))))) (pow.f64 F 7))) (/.f64 1 F))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 2 x) 2)) (pow.f64 F 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (pow.f64 F 3)))))))) (/.f64 1 F))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (pow.f64 x 2))))))

Outputs
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (.f64 -1/2 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (fma.f64 2 x 2))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (fma.f64 -1 (.f64 (pow.f64 F 5) (.f64 (.f64 (/.f64 1 (.f64 (sin.f64 B) (fma.f64 2 x 2))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))))) (.f64 (pow.f64 F 5) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) -3/8))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))))) (.f64 (pow.f64 F 5) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) 3/8)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 7) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)))))))) (.f64 1/16 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (fma.f64 -1 (.f64 (pow.f64 F 5) (.f64 (.f64 (/.f64 1 (.f64 (sin.f64 B) (fma.f64 2 x 2))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (fma.f64 -1 (.f64 (pow.f64 F 7) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 1 (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))) (.f64 (.f64 (/.f64 1 (.f64 (sin.f64 B) (fma.f64 2 x 2))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (.f64 (.f64 1/16 (/.f64 1 (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))))
(+.f64 (-.f64 (.f64 (pow.f64 F 5) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) -3/8))) (.f64 (pow.f64 F 7) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))))) (.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (.f64 (sin.f64 B) (fma.f64 2 x 2)))))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (.f64 -1/2 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (fma.f64 2 x 2)))))))
(+.f64 (fma.f64 (pow.f64 F 5) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) 3/8) (.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (/.f64 1/16 (.f64 (sin.f64 B) (fma.f64 2 x 2)))))) (neg.f64 (pow.f64 F 7)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (*.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2)) (sin.f64 B))) (pow.f64 F 4))))
(-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8) (pow.f64 F 4)))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) 3/8) (pow.f64 F 4)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (.f64 2 x) 2))) (.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (fma.f64 -1 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B)) (fma.f64 -1/2 (.f64 (fma.f64 2 x 2) (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2)) (sin.f64 B)))) (.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B))))) (pow.f64 F 6)) (+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2)) (sin.f64 B))) (pow.f64 F 4))))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (-.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8) (pow.f64 F 4))) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B)) (fma.f64 -1/2 (.f64 (fma.f64 2 x 2) (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8)) (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (/.f64 (sin.f64 B) 1/16)))) (pow.f64 F 6))))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) 3/8) (pow.f64 F 4))) (/.f64 (+.f64 (.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8) (.f64 (fma.f64 2 x 2) -1/2)) (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B)) 1/8)) (pow.f64 F 6)))
(/.f64 -1 (sin.f64 B))
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(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 2) (+.f64 (*.f64 2 x) 2)))))
(+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (*.f64 F F) (fma.f64 2 x 2)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 F (/.f64 (fma.f64 2 x 2) F))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(.f64 (+.f64 (.f64 -1/2 (*.f64 (/.f64 F (fma.f64 2 x 2)) F)) 1) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 2) (+.f64 (*.f64 2 x) 2))))))
(fma.f64 -1 (.f64 (pow.f64 F 4) (.f64 (.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (.f64 F F) (fma.f64 2 x 2))))))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 F (/.f64 (fma.f64 2 x 2) F))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 2 x 2)) (*.f64 -3/8 (pow.f64 F 4))))
(fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 2 x 2)) 3/8) (pow.f64 F 4) (.f64 (+.f64 (.f64 -1/2 (.f64 (/.f64 F (fma.f64 2 x 2)) F)) 1) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 5))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/8 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))))) (pow.f64 F 6))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 2) (+.f64 (.f64 2 x) 2)))))))
(fma.f64 -1 (.f64 (pow.f64 F 6) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 1/16 (.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5)))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2)))) (.f64 (.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8))))) (fma.f64 -1 (.f64 (pow.f64 F 4) (.f64 (.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (+.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (*.f64 F F) (fma.f64 2 x 2)))))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 F (/.f64 (fma.f64 2 x 2) F))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 2 x 2)) (.f64 -3/8 (pow.f64 F 4)))) (.f64 (pow.f64 F 6) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (pow.f64 (fma.f64 2 x 2) 2)) (fma.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 2 x 2)) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))))) (*.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (fma.f64 2 x 2)))))))
(-.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 2 x 2)) 3/8) (pow.f64 F 4) (.f64 (+.f64 (.f64 -1/2 (.f64 (/.f64 F (fma.f64 2 x 2)) F)) 1) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (.f64 (pow.f64 F 6) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (pow.f64 (fma.f64 2 x 2) 2)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (+.f64 x 1)) -3/16)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (+.f64 x 1)) 1/32)))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 1 F))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F)))
(fma.f64 -1 (/.f64 (fma.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2) (*.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 5)) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 1 F)))
(-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 1 F)) (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 5)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (*.f64 2 x) 2))))) (pow.f64 F 7))) (/.f64 1 F))))
(fma.f64 -1 (/.f64 (fma.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2) (.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 5)) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (fma.f64 -1 (/.f64 (fma.f64 1/16 (pow.f64 (fma.f64 2 x 2) 3) (fma.f64 1/16 (pow.f64 (fma.f64 2 x 2) 3) (.f64 (.f64 -1/2 (fma.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2) (.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2)))) (fma.f64 2 x 2)))) (pow.f64 F 7)) (/.f64 1 F))))
(-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (-.f64 (/.f64 1 F) (/.f64 (+.f64 (.f64 (fma.f64 2 x 2) (.f64 -1/2 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8))) (.f64 (pow.f64 (fma.f64 2 x 2) 3) 1/8)) (pow.f64 F 7)))) (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 5)))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 1 F)) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 5))) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (.f64 (fma.f64 2 x 2) -1/2)) (*.f64 (pow.f64 (fma.f64 2 x 2) 3) 1/8)) (pow.f64 F 7)))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (neg.f64 (/.f64 1 F)))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 -1 F))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))))) (/.f64 1 F))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (*.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3))))) (/.f64 1 F))
(+.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) -3/8) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 -1 F)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 2 x) 2)) (pow.f64 F 7))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (pow.f64 F 3)))))))) (/.f64 1 F))
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2) (.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2))) (/.f64 (pow.f64 F 7) (fma.f64 2 x 2))) (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)))))))) (/.f64 1 F))
(+.f64 (/.f64 -1 F) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (/.f64 (pow.f64 F 7) (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8))) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)))))) (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) -3/8)))
(+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) -3/8) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 7)) (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8)) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)))))) (/.f64 -1 F)))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))))
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2))))
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)))))
(-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))) (neg.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) -3/2))))
(-.f64 (-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 -3/2 (.f64 x x))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) 3/2) (.f64 x x) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) x)) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))))) (pow.f64 x 2))))))
(fma.f64 -1 (.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) -3/2) (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 7))))) (+.f64 (fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))) (neg.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) -3/2)))))
(-.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 -3/2 (.f64 x x)))) (*.f64 (pow.f64 x 3) (-.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7))) (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (/.f64 (fma.f64 F F 2) -3/2)))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) 3/2) (.f64 x x) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (+.f64 (.f64 (pow.f64 x 3) (-.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (fma.f64 F F 2)) -3/2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 -1 (sin.f64 B))
✓	0.1b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
✓	0.8b	(+.f64 1 (/.f64 -1 (sin.f64 B)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	B	@	0	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
1.0ms	B	@	inf	(+.f64 1 (/.f64 -1 (sin.f64 B)))
1.0ms	B	@	-inf	(+.f64 1 (/.f64 -1 (sin.f64 B)))
1.0ms	B	@	0	(+.f64 1 (/.f64 -1 (sin.f64 B)))
0.0ms	B	@	inf	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)

rewrite62.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`pow1_binary64`
771×	`add-log-exp_binary64`
770×	`log1p-expm1-u_binary64`
770×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	15
2	2353	15

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)

Outputs

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

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

simplify88.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

646×	`cancel-sign-sub-inv_binary64`
640×	`fma-def_binary64`
487×	`fma-neg_binary64`
466×	`neg-mul-1_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	219
1	71	209
2	150	209
3	417	209
4	940	209
5	2235	209
6	4998	209
7	6351	209
8	7662	209

Stop Event

1×	node limit

Counts

109 → 100

Calls

Call 1

Inputs
(/.f64 -1 B)
(-.f64 1 (/.f64 1 B))
(-.f64 (+.f64 1 (*.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (+.f64 1 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B))) (/.f64 1 B))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))

Outputs
(/.f64 -1 B)
(-.f64 1 (/.f64 1 B))
(+.f64 1 (/.f64 -1 B))
(-.f64 (+.f64 1 (*.f64 -1/6 B)) (/.f64 1 B))
(+.f64 1 (-.f64 (*.f64 B -1/6) (/.f64 1 B)))
(+.f64 1 (fma.f64 B -1/6 (/.f64 -1 B)))
(+.f64 (fma.f64 B -1/6 1) (/.f64 -1 B))
(-.f64 (+.f64 1 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B))) (/.f64 1 B))
(+.f64 1 (-.f64 (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6)) (/.f64 1 B)))
(+.f64 1 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B))))
(+.f64 1 (fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B))))
(-.f64 (fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) 1) (/.f64 1 B))
(+.f64 (fma.f64 B -1/6 1) (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B)))
(+.f64 (fma.f64 B (fma.f64 -7/360 (*.f64 B B) -1/6) 1) (/.f64 -1 B))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(-.f64 1 (/.f64 1 (sin.f64 B)))
(+.f64 1 (/.f64 -1 (sin.f64 B)))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6)) (/.f64 1 B))
(fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B)))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))
(-.f64 (fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6))) (/.f64 1 B))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B))))
(fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B))))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
✓	0.1b	(/.f64 1 (sin.f64 B))
	0.2b	(/.f64 1 (tan.f64 B))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))

Compiler

Compiled 43 to 24 computations (44.2% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
0.0ms	x	@	0	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
0.0ms	B	@	0	(/.f64 1 (sin.f64 B))
0.0ms	B	@	inf	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
0.0ms	B	@	-inf	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
394×	`fma-def_binary64`
334×	`pow-prod-down_binary64`
283×	`pow2_binary64`
228×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	240	20
2	3340	20

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs
(/.f64 1 (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Outputs

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egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 1 (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) (/.f64 1 (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) -2))) (/.f64 1 (cbrt.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (tan.f64 B) -1/2)) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (tan.f64 B) -2))) (/.f64 1 (cbrt.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) -1/2)) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 (sin.f64 B)))))))

simplify52.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

612×	`cancel-sign-sub-inv_binary64`
586×	`associate--l+_binary64`
464×	`fma-neg_binary64`
311×	`associate--r-_binary64`
299×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	520
1	157	503
2	432	495
3	1814	491
4	4293	491

Stop Event

1×	node limit

Counts

155 → 147

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))

Outputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 1/6 (.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 7/360 (.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 31/15120 (fma.f64 -2/45 x (.f64 (.f64 x 1/45) -1/3)))) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 7/360 (.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120)) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x -7/135) (fma.f64 x 17/315 31/15120)) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (*.f64 x 2/945)) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 F (sin.f64 B))
	0.2b	(/.f64 1 (tan.f64 B))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.4b	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))

Compiler

Compiled 90 to 57 computations (36.7% saved)

series8.0ms (0%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	F	@	0	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	x	@	0	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	x	@	-inf	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	x	@	inf	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	B	@	0	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))

rewrite60.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
344×	`pow2_binary64`
241×	`pow1/3_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	277	15
2	3525	15

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))

Outputs

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

simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

570×	`associate-/r/_binary64`
426×	`associate-/l/_binary64`
398×	`fma-neg_binary64`
382×	`fma-def_binary64`
328×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	486
1	240	463
2	858	390
3	4698	316

Stop Event

1×	node limit

Counts

53 → 59

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 F B))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 F B)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (*.f64 F B))))))
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(+.f64 (.f64 1/2 (/.f64 (.f64 F (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B))))
(+.f64 (.f64 1/2 (/.f64 (.f64 F (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 F (.f64 (+.f64 1/2 (.f64 -1/4 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 3))) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 F B))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 F B))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 1/6 (.f64 F (*.f64 B (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F B) (.f64 F (*.f64 B 1/6))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 F B)))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (.f64 F -7/360) (pow.f64 B 3))) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F B)))))
(-.f64 (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 1/6 (.f64 F (.f64 B (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F (.f64 -7/360 (pow.f64 B 3)))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (.f64 F (pow.f64 B 3)) 7/360) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F B) (.f64 F (*.f64 B 1/6)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F B) (.f64 F (+.f64 (.f64 B 1/6) (.f64 (pow.f64 B 3) 7/360)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (*.f64 F B))))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (fma.f64 1/6 (.f64 F -7/360) (.f64 F 1/840)) (pow.f64 B 5))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (.f64 F -7/360) (pow.f64 B 3))) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F B))))))
(+.f64 (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 1/6 (.f64 F (.f64 B (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))) (.f64 (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (+.f64 (.f64 (fma.f64 F 1/840 (.f64 F -7/2160)) (pow.f64 B 5)) (.f64 F (.f64 -7/360 (pow.f64 B 3))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F B) (.f64 F (.f64 B 1/6)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 (.f64 F -31/15120) (pow.f64 B 5) (.f64 (*.f64 F -7/360) (pow.f64 B 3)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (+.f64 (/.f64 F B) (.f64 F (.f64 B 1/6))) (fma.f64 (pow.f64 B 5) (.f64 F 31/15120) (.f64 F (.f64 (pow.f64 B 3) 7/360)))))
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F))
(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
(*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(fma.f64 -1/4 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 x (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F)))
(fma.f64 -1/4 (.f64 (/.f64 F (sin.f64 B)) (/.f64 x (sqrt.f64 1/2))) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F))
(fma.f64 (/.f64 F (sin.f64 B)) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F)))
(.f64 (/.f64 F (sin.f64 B)) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 F (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B))))
(fma.f64 1/2 (.f64 (/.f64 F (sin.f64 B)) (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (.f64 x x)) (sqrt.f64 1/2))) (fma.f64 -1/4 (.f64 (/.f64 F (sin.f64 B)) (/.f64 x (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F))))
(fma.f64 1/2 (.f64 (/.f64 F (sin.f64 B)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 x x)))) (fma.f64 -1/4 (.f64 (/.f64 F (sin.f64 B)) (/.f64 x (sqrt.f64 1/2))) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)))
(fma.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F (.f64 (/.f64 F (sin.f64 B)) (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) 1/2) (/.f64 (sqrt.f64 1/2) (.f64 x x))))))
(.f64 (/.f64 F (sin.f64 B)) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (.f64 (/.f64 3/16 (sqrt.f64 1/2)) (.f64 x x)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 F (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 F (.f64 (+.f64 1/2 (.f64 -1/4 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 3))) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))))
(fma.f64 1/2 (.f64 (/.f64 F (sin.f64 B)) (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (.f64 x x)) (sqrt.f64 1/2))) (fma.f64 -1/4 (.f64 (/.f64 F (sin.f64 B)) (/.f64 x (sqrt.f64 1/2))) (fma.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (/.f64 (.f64 (+.f64 1/2 (*.f64 -1/4 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F)))))
(fma.f64 1/2 (.f64 (/.f64 F (sin.f64 B)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 x x)))) (fma.f64 -1/4 (.f64 (/.f64 F (sin.f64 B)) (/.f64 x (sqrt.f64 1/2))) (fma.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (/.f64 (fma.f64 -1/4 (-.f64 1 (/.f64 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2) 1/2)) 1/2) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) 1/2) (/.f64 (sqrt.f64 1/2) (.f64 x x))) (fma.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F (.f64 (/.f64 F (sin.f64 B)) (+.f64 (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (/.f64 (*.f64 -5/32 (pow.f64 x 3)) (sqrt.f64 1/2))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))) (.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 1/2))) (+.f64 (.f64 3/16 (.f64 x x)) (*.f64 -5/32 (pow.f64 x 3)))))

eval333.0ms (0.5%)

Compiler: Compiled 17656 to 11245 computations (36.3% saved)

prune175.0ms (0.2%)

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	715	24	739
Fresh	16	21	37
Picked	1	0	1
Done	2	3	5
Total	734	48	782

Error

Counts

782 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	52.2b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
✓	50.6b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	50.7b	(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
	48.1b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
	52.4b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	50.7b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	50.7b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	31.7b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	33.4b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	51.0b	(/.f64 (-.f64 -1 x) B)
▶	52.4b	(neg.f64 (/.f64 x B))
	33.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
	46.7b	(pow.f64 (/.f64 B (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) -1)
	45.3b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	52.6b	(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
	54.2b	(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 -1 (sin.f64 B)) 2)))
	56.2b	(-.f64 (-.f64 1 (/.f64 1 B)) 1)
	55.2b	(-.f64 (/.f64 -1 B) 1)
	33.7b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	36.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	37.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	33.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	33.8b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 2 x 2))))
	57.2b	(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
	34.1b	(+.f64 (neg.f64 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
✓	50.6b	(/.f64 -1 (sin.f64 B))
	51.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
✓	56.0b	(/.f64 -1 B)
▶	38.4b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	53.6b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	17.0b	(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	52.5b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
	55.1b	(cbrt.f64 (/.f64 -1 (pow.f64 (sin.f64 B) 3)))
	60.4b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	36.1b	(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
	31.7b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
▶	52.8b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	52.2b	(/.f64 (-.f64 1 x) B)
	33.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	31.7b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
	33.7b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	56.1b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
▶	50.6b	(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
	34.5b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	44.7b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2))
▶	5.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))
	52.5b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	49.0b	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1498 to 1159 computations (22.6% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (tan.f64 B))
✓	0.2b	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
✓	0.2b	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))

Compiler

Compiled 87 to 53 computations (39.1% saved)

series18.0ms (0%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
1.0ms	x	@	-inf	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
1.0ms	x	@	inf	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
1.0ms	x	@	-inf	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
1.0ms	F	@	0	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
434×	`exp-prod_binary64`
311×	`pow-prod-down_binary64`
293×	`pow2_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	227	33
2	2861	33

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))

Outputs

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

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

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

560×	`distribute-rgt-in_binary64`
557×	`distribute-lft-in_binary64`
511×	`times-frac_binary64`
444×	`associate-/l*_binary64`
385×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	2832
1	964	2321
2	3363	2188

Stop Event

1×	node limit

Counts

134 → 160

Calls

Call 1

Inputs
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 7) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)))))))) (.f64 1/16 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (.f64 2 x) 2))) (.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (.f64 2 x) 2))) (.f64 -1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) (pow.f64 B 3))) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1/5040 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 1/6 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))))) (pow.f64 B 5))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (.f64 F x) (sin.f64 B)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) (/.f64 F (sin.f64 B)))) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(*.f64 (sin.f64 B) F)
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 (sin.f64 B) F))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (+.f64 (.f64 (sin.f64 B) F) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (+.f64 (.f64 (sin.f64 B) F) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))))))
(.f64 -1 (.f64 (sin.f64 B) F))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (.f64 (sin.f64 B) F))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (pow.f64 x 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (.f64 (sin.f64 B) (pow.f64 x 3)))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 (sin.f64 B) (pow.f64 x 2)))))))

Outputs
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (/.f64 (pow.f64 F 3) (sin.f64 B)) (fma.f64 2 x 2))) (/.f64 F (sin.f64 B))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (fma.f64 -1 (.f64 (pow.f64 F 5) (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))) (.f64 (pow.f64 F 5) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) -3/8))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (/.f64 (pow.f64 F 3) (sin.f64 B)) (fma.f64 2 x 2))) (/.f64 F (sin.f64 B)))) (.f64 (pow.f64 F 5) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (*.f64 (sin.f64 B) (fma.f64 2 x 2))) 3/8)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 7) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)))))))) (.f64 1/16 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (fma.f64 -1 (.f64 (pow.f64 F 5) (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (fma.f64 -1 (.f64 (pow.f64 F 7) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2)) (sin.f64 B))) (fma.f64 -1/2 (.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2)))) (.f64 (.f64 1/16 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))))
(+.f64 (-.f64 (.f64 (pow.f64 F 5) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) -3/8))) (.f64 (pow.f64 F 7) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))))) (.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (.f64 (sin.f64 B) (fma.f64 2 x 2)))))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))))
(+.f64 (fma.f64 (pow.f64 F 5) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) 3/8) (.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (/.f64 1/16 (.f64 (sin.f64 B) (fma.f64 2 x 2)))))) (neg.f64 (pow.f64 F 7)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (/.f64 (pow.f64 F 3) (sin.f64 B)) (fma.f64 2 x 2))) (/.f64 F (sin.f64 B)))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (.f64 F (sin.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (*.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2)) (sin.f64 B))) (pow.f64 F 4))))
(-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.f64 1 (sin.f64 B))) (/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8) (pow.f64 F 4)))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (.f64 F (sin.f64 B)))) (/.f64 1 (sin.f64 B))) (/.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (pow.f64 F 4) 3/8)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (sin.f64 B))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (sin.f64 B)))) (+.f64 (.f64 2 x) 2))) (.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (sin.f64 B))))) (pow.f64 F 6))) (+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4))))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (fma.f64 -1 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B)) (fma.f64 -1/2 (.f64 (fma.f64 2 x 2) (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2)) (sin.f64 B)))) (.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B))))) (pow.f64 F 6)) (+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2)) (sin.f64 B))) (pow.f64 F 4))))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (-.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8) (pow.f64 F 4))) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B)) (fma.f64 -1/2 (.f64 (fma.f64 2 x 2) (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8)) (.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B))))) (pow.f64 F 6))))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (.f64 F (sin.f64 B)))) (/.f64 1 (sin.f64 B))) (/.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (pow.f64 F 4) 3/8))) (/.f64 (+.f64 (.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) -3/8) (.f64 -1/2 (fma.f64 2 x 2))) (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B)) 1/8)) (pow.f64 F 6)))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (neg.f64 (/.f64 1 (sin.f64 B))))
(fma.f64 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) 1/2 (/.f64 -1 (sin.f64 B)))
(fma.f64 (/.f64 1/2 (sin.f64 B)) (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 -1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)))) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))
(-.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (neg.f64 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (*.f64 1/8 (pow.f64 (fma.f64 2 x 2) 2)) (sin.f64 B))) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))
(fma.f64 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) 1/2 (fma.f64 -1 (/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) 3/8) (pow.f64 F 4)) (/.f64 -1 (sin.f64 B))))
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(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (.f64 (sin.f64 B) (pow.f64 x 3))) (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (*.f64 x x)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 (sin.f64 B) x) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (sin.f64 B) (pow.f64 x 3))) (fma.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (sin.f64 B) (*.f64 x x)))))))
(+.f64 (.f64 (sin.f64 B) (+.f64 (hypot.f64 F (sqrt.f64 2)) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (.f64 x x)))) (.f64 (sin.f64 B) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (pow.f64 x 3)))))

localize6.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 -1 (sin.f64 B))
✓	0.1b	(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
✓	0.5b	(+.f64 (/.f64 -1 (sin.f64 B)) -1)

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	B	@	0	(+.f64 (/.f64 -1 (sin.f64 B)) -1)
0.0ms	B	@	inf	(+.f64 (/.f64 -1 (sin.f64 B)) -1)
0.0ms	B	@	-inf	(+.f64 (/.f64 -1 (sin.f64 B)) -1)
0.0ms	B	@	0	(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
0.0ms	B	@	-inf	(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)

rewrite55.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
760×	`add-log-exp_binary64`
759×	`log1p-expm1-u_binary64`
759×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	175	15
2	2323	15

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(+.f64 (/.f64 -1 (sin.f64 B)) -1)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)

Outputs

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

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

simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-neg_binary64`
464×	`neg-mul-1_binary64`
456×	`neg-sub0_binary64`
416×	`unswap-sqr_binary64`
412×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	237
1	82	209
2	180	209
3	496	209
4	1127	209
5	2500	209
6	4550	209
7	5951	209
8	7194	209

Stop Event

1×	node limit

Counts

109 → 100

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (+.f64 1 (/.f64 1 B)))
(-.f64 (*.f64 -1/6 B) (+.f64 1 (/.f64 1 B)))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (+.f64 1 (/.f64 1 B)))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))

Outputs
(/.f64 -1 B)
(neg.f64 (+.f64 1 (/.f64 1 B)))
(+.f64 -1 (neg.f64 (/.f64 1 B)))
(+.f64 -1 (/.f64 -1 B))
(-.f64 -1 (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (+.f64 1 (/.f64 1 B)))
(-.f64 (*.f64 B -1/6) (+.f64 1 (/.f64 1 B)))
(+.f64 (fma.f64 B -1/6 -1) (/.f64 -1 B))
(+.f64 (/.f64 -1 B) (fma.f64 B -1/6 -1))
(+.f64 -1 (fma.f64 B -1/6 (/.f64 -1 B)))
(-.f64 (/.f64 -1 B) (fma.f64 B 1/6 1))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (+.f64 1 (/.f64 1 B)))
(-.f64 (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6)) (+.f64 1 (/.f64 1 B)))
(-.f64 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B))) 1)
(+.f64 (fma.f64 B -1/6 (/.f64 -1 B)) (fma.f64 -7/360 (pow.f64 B 3) -1))
(+.f64 -1 (fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (/.f64 -1 B)))
(+.f64 -1 (fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B))))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 1 (/.f64 1 (sin.f64 B))))
(+.f64 -1 (/.f64 -1 (sin.f64 B)))
(-.f64 -1 (/.f64 1 (sin.f64 B)))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 1 (/.f64 1 (sin.f64 B))))
(+.f64 -1 (/.f64 -1 (sin.f64 B)))
(-.f64 -1 (/.f64 1 (sin.f64 B)))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 1 (/.f64 1 (sin.f64 B))))
(+.f64 -1 (/.f64 -1 (sin.f64 B)))
(-.f64 -1 (/.f64 1 (sin.f64 B)))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 1 (/.f64 1 (sin.f64 B))))
(+.f64 -1 (/.f64 -1 (sin.f64 B)))
(-.f64 -1 (/.f64 1 (sin.f64 B)))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 1 (/.f64 1 (sin.f64 B))))
(+.f64 -1 (/.f64 -1 (sin.f64 B)))
(-.f64 -1 (/.f64 1 (sin.f64 B)))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 1 (/.f64 1 (sin.f64 B))))
(+.f64 -1 (/.f64 -1 (sin.f64 B)))
(-.f64 -1 (/.f64 1 (sin.f64 B)))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 1 (/.f64 1 (sin.f64 B))))
(+.f64 -1 (/.f64 -1 (sin.f64 B)))
(-.f64 -1 (/.f64 1 (sin.f64 B)))
(*.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 1 (/.f64 1 (sin.f64 B))))
(+.f64 -1 (/.f64 -1 (sin.f64 B)))
(-.f64 -1 (/.f64 1 (sin.f64 B)))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6)) (/.f64 1 B))
(fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B)))
(fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))
(-.f64 (fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6))) (/.f64 1 B))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B))))
(fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B))))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))

localize30.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (fma.f64 F F 2))
✓	6.4b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
✓	17.8b	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series14.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	F	@	0	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
2.0ms	B	@	0	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
2.0ms	F	@	0	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
1.0ms	B	@	inf	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
1.0ms	F	@	inf	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))

rewrite105.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`log-prod_binary64`
388×	`prod-exp_binary64`
354×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	207	29
2	2544	29

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(/.f64 1 (fma.f64 F F 2))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 F F 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 F F 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 F F 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 F F 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F 2) -1/2) (pow.f64 (fma.f64 F F 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 F F 2))) (cbrt.f64 (pow.f64 (fma.f64 F F 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 F F 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F 2) -1/4) (sqrt.f64 (pow.f64 (fma.f64 F F 2) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 F F 2)) -2) (/.f64 1 (cbrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 F F 2) -3/2)) (pow.f64 (fma.f64 F F 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (fma.f64 F F 2)) 5/6) (pow.f64 (fma.f64 F F 2) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 F F 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 F F 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 F F 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 F F 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 F F 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 F F 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 F F 2)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 F F 2))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 F F 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 F F 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 F F 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 F F 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 F F 2)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 F F 2)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1/2) (log.f64 (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 1) (log.f64 (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 F F 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1/2) (log.f64 (pow.f64 (fma.f64 F F 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 1) (log.f64 (pow.f64 (fma.f64 F F 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1/2) (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 1) (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F 2))) 1/2) (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 1) (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 1)))))))

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

795×	`associate-*l/_binary64`
528×	`associate-/l/_binary64`
454×	`associate-/r/_binary64`
278×	`fma-def_binary64`
239×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1078
1	347	1034
2	1058	986
3	4011	927

Stop Event

1×	node limit

Counts

215 → 227

Calls

Call 1

Inputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 6)) (sqrt.f64 1/2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))))))
(/.f64 1 F)
(-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)) (/.f64 1 (pow.f64 F 3)))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)) (+.f64 (/.f64 1 (pow.f64 F 3)) (.f64 5/2 (/.f64 1 (pow.f64 F 7)))))
(/.f64 -1 F)
(-.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 1 F))
(-.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 3)) (.f64 5/2 (/.f64 1 (pow.f64 F 7)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) B))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 (sqrt.f64 1/2) B)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (.f64 (sqrt.f64 1/2) B))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 (sqrt.f64 1/2) B))))))
(/.f64 1 B)
(-.f64 (/.f64 1 B) (/.f64 1 (*.f64 (pow.f64 F 2) B)))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (.f64 (pow.f64 F 4) B))) (/.f64 1 B)) (/.f64 1 (*.f64 (pow.f64 F 2) B)))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (.f64 (pow.f64 F 4) B))) (/.f64 1 B)) (+.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (.f64 5/2 (/.f64 1 (*.f64 (pow.f64 F 6) B)))))
(/.f64 -1 B)
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(-.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (+.f64 (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 F 4) B))) (/.f64 1 B)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (.f64 5/2 (/.f64 1 (.f64 (pow.f64 F 6) B)))) (+.f64 (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 F 4) B))) (/.f64 1 B)))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
1/2
(+.f64 (*.f64 -1/4 (pow.f64 F 2)) 1/2)
(+.f64 (.f64 -1/4 (pow.f64 F 2)) (+.f64 (.f64 1/8 (pow.f64 F 4)) 1/2))
(+.f64 (.f64 -1/4 (pow.f64 F 2)) (+.f64 (.f64 1/8 (pow.f64 F 4)) (+.f64 1/2 (*.f64 -1/16 (pow.f64 F 6)))))
(/.f64 1 (pow.f64 F 2))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 F 4))) (*.f64 8 (/.f64 1 (pow.f64 F 8)))))
(/.f64 1 (pow.f64 F 2))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 F 4))) (*.f64 8 (/.f64 1 (pow.f64 F 8)))))

Outputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (.f64 -1/8 (.f64 F F)) (sqrt.f64 1/2)))
(fma.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (.f64 1/2 (/.f64 (pow.f64 F 4) (/.f64 (sqrt.f64 1/2) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 F 4) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2)))))
(fma.f64 1/2 (.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 F 4) (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (.f64 (/.f64 (pow.f64 F 4) (sqrt.f64 1/2)) 3/64))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 6)) (sqrt.f64 1/2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (/.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (/.f64 (sqrt.f64 1/2) (pow.f64 F 6))) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (pow.f64 F 4) (/.f64 (sqrt.f64 1/2) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (/.f64 (fma.f64 -1/8 (-.f64 1/4 (/.f64 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2) 1/2)) 1/16) (/.f64 (sqrt.f64 1/2) (pow.f64 F 6))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 F 4) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 F 4) (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (*.f64 (/.f64 -5/256 (sqrt.f64 1/2)) (pow.f64 F 6)))))
(+.f64 (.f64 (/.f64 (pow.f64 F 4) (sqrt.f64 1/2)) 3/64) (+.f64 (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 (/.f64 -5/256 (sqrt.f64 1/2)) (pow.f64 F 6))))
(/.f64 1 F)
(-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3)))
(+.f64 (/.f64 1 F) (/.f64 -1 (pow.f64 F 3)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)) (/.f64 1 (pow.f64 F 3)))
(+.f64 (/.f64 3/2 (pow.f64 F 5)) (-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3))))
(+.f64 (-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3))) (/.f64 3/2 (pow.f64 F 5)))
(+.f64 (/.f64 1 F) (+.f64 (/.f64 3/2 (pow.f64 F 5)) (/.f64 -1 (pow.f64 F 3))))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)) (+.f64 (/.f64 1 (pow.f64 F 3)) (.f64 5/2 (/.f64 1 (pow.f64 F 7)))))
(+.f64 (/.f64 3/2 (pow.f64 F 5)) (-.f64 (/.f64 1 F) (+.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 5/2 (pow.f64 F 7)))))
(+.f64 (/.f64 3/2 (pow.f64 F 5)) (-.f64 (-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3))) (/.f64 5/2 (pow.f64 F 7))))
(+.f64 (/.f64 1 F) (+.f64 (/.f64 3/2 (pow.f64 F 5)) (+.f64 (/.f64 -1 (pow.f64 F 3)) (/.f64 -5/2 (pow.f64 F 7)))))
(/.f64 -1 F)
(-.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 1 F))
(+.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 -1 F))
(-.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(-.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (/.f64 1 F) (/.f64 3/2 (pow.f64 F 5))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 3/2 (pow.f64 F 5))) (/.f64 -1 F))
(+.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (/.f64 -1 F) (/.f64 -3/2 (pow.f64 F 5))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 3)) (.f64 5/2 (/.f64 1 (pow.f64 F 7)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 5/2 (pow.f64 F 7))) (+.f64 (/.f64 1 F) (/.f64 3/2 (pow.f64 F 5))))
(+.f64 (/.f64 5/2 (pow.f64 F 7)) (+.f64 (-.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 3/2 (pow.f64 F 5))) (/.f64 -1 F)))
(+.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (/.f64 5/2 (pow.f64 F 7)) (+.f64 (/.f64 -1 F) (/.f64 -3/2 (pow.f64 F 5)))))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(*.f64 (/.f64 (sqrt.f64 1/2) B) F)
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) B))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (/.f64 (.f64 -1/8 (pow.f64 F 3)) (*.f64 (sqrt.f64 1/2) B)))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (.f64 (/.f64 (sqrt.f64 1/2) B) F))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (.f64 (/.f64 F B) (sqrt.f64 1/2)))
(.f64 (/.f64 F B) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 (sqrt.f64 1/2) B)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (.f64 1/2 (.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 1/2) B) F) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B)) (.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)))))
(fma.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (.f64 1/2 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B)) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (*.f64 (/.f64 F B) (sqrt.f64 1/2))))
(fma.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 3/64 B) (.f64 (/.f64 F B) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (.f64 (sqrt.f64 1/2) B))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 (sqrt.f64 1/2) B))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)) (/.f64 (pow.f64 F 7) B)) (.f64 1/2 (.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 1/2) B) F) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B)) (.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 7) (sqrt.f64 1/2)) (/.f64 (fma.f64 -1/8 (-.f64 1/4 (/.f64 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2) 1/2)) 1/16) B))))))
(fma.f64 (/.f64 (sqrt.f64 1/2) B) F (fma.f64 (.f64 1/2 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2))) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (*.f64 (/.f64 (pow.f64 F 7) B) (/.f64 -5/256 (sqrt.f64 1/2))))))
(+.f64 (.f64 (/.f64 F B) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2))) (fma.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 3/64 B) (*.f64 (/.f64 (pow.f64 F 7) B) (/.f64 -5/256 (sqrt.f64 1/2)))))
(/.f64 1 B)
(-.f64 (/.f64 1 B) (/.f64 1 (*.f64 (pow.f64 F 2) B)))
(-.f64 (/.f64 1 B) (/.f64 1 (.f64 (.f64 F F) B)))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (.f64 (pow.f64 F 4) B))) (/.f64 1 B)) (/.f64 1 (*.f64 (pow.f64 F 2) B)))
(+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (-.f64 (/.f64 1 B) (/.f64 1 (.f64 (*.f64 F F) B))))
(+.f64 (/.f64 1 B) (-.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 1 (.f64 F (*.f64 F B)))))
(+.f64 (/.f64 1 B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 F (*.f64 F B)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (.f64 (pow.f64 F 4) B))) (/.f64 1 B)) (+.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (.f64 5/2 (/.f64 1 (*.f64 (pow.f64 F 6) B)))))
(-.f64 (+.f64 (/.f64 1 B) (/.f64 3/2 (.f64 (pow.f64 F 4) B))) (+.f64 (/.f64 1 (.f64 (.f64 F F) B)) (/.f64 5/2 (.f64 (pow.f64 F 6) B))))
(+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (-.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (*.f64 F B)))) (/.f64 (/.f64 5/2 (pow.f64 F 6)) B)))
(+.f64 (/.f64 1 B) (-.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (+.f64 (/.f64 1 (.f64 F (*.f64 F B))) (/.f64 (/.f64 5/2 B) (pow.f64 F 6)))))
(+.f64 (/.f64 1 B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (+.f64 (/.f64 -1 (.f64 F (*.f64 F B))) (/.f64 (/.f64 -5/2 B) (pow.f64 F 6)))))
(/.f64 -1 B)
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(-.f64 (/.f64 1 (.f64 (.f64 F F) B)) (/.f64 1 B))
(+.f64 (/.f64 1 (.f64 F (.f64 F B))) (/.f64 -1 B))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(-.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (+.f64 (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 F 4) B))) (/.f64 1 B)))
(-.f64 (/.f64 1 (.f64 (.f64 F F) B)) (+.f64 (/.f64 1 B) (/.f64 3/2 (*.f64 (pow.f64 F 4) B))))
(+.f64 (-.f64 (/.f64 1 (.f64 F (.f64 F B))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B))) (/.f64 -1 B))
(+.f64 (/.f64 1 (.f64 F (.f64 F B))) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (*.f64 (pow.f64 F 4) B))))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (.f64 5/2 (/.f64 1 (.f64 (pow.f64 F 6) B)))) (+.f64 (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 F 4) B))) (/.f64 1 B)))
(+.f64 (/.f64 1 (.f64 (.f64 F F) B)) (-.f64 (/.f64 5/2 (.f64 (pow.f64 F 6) B)) (+.f64 (/.f64 1 B) (/.f64 3/2 (.f64 (pow.f64 F 4) B)))))
(+.f64 (/.f64 1 (.f64 F (.f64 F B))) (-.f64 (/.f64 (/.f64 5/2 (pow.f64 F 6)) B) (+.f64 (/.f64 1 B) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))))
(+.f64 (/.f64 (/.f64 5/2 B) (pow.f64 F 6)) (+.f64 (/.f64 1 (.f64 F (.f64 F B))) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (*.f64 (pow.f64 F 4) B)))))
(+.f64 (-.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (/.f64 (/.f64 -5/2 B) (pow.f64 F 6))) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
1/2
(+.f64 (*.f64 -1/4 (pow.f64 F 2)) 1/2)
(fma.f64 -1/4 (*.f64 F F) 1/2)
(fma.f64 (*.f64 F F) -1/4 1/2)
(fma.f64 F (*.f64 F -1/4) 1/2)
(+.f64 (.f64 -1/4 (pow.f64 F 2)) (+.f64 (.f64 1/8 (pow.f64 F 4)) 1/2))
(fma.f64 -1/4 (*.f64 F F) (fma.f64 1/8 (pow.f64 F 4) 1/2))
(fma.f64 (*.f64 F F) -1/4 (fma.f64 (pow.f64 F 4) 1/8 1/2))
(fma.f64 F (*.f64 F -1/4) (fma.f64 (pow.f64 F 4) 1/8 1/2))
(+.f64 (.f64 -1/4 (pow.f64 F 2)) (+.f64 (.f64 1/8 (pow.f64 F 4)) (+.f64 1/2 (*.f64 -1/16 (pow.f64 F 6)))))
(fma.f64 -1/4 (.f64 F F) (+.f64 (fma.f64 1/8 (pow.f64 F 4) 1/2) (.f64 (pow.f64 F 6) -1/16)))
(fma.f64 (*.f64 F F) -1/4 (fma.f64 (pow.f64 F 4) 1/8 (fma.f64 (pow.f64 F 6) -1/16 1/2)))
(fma.f64 F (*.f64 F -1/4) (fma.f64 (pow.f64 F 4) 1/8 (fma.f64 (pow.f64 F 6) -1/16 1/2)))
(fma.f64 F (*.f64 F -1/4) (fma.f64 (pow.f64 F 6) -1/16 (fma.f64 (pow.f64 F 4) 1/8 1/2)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 2 (pow.f64 F 4)))
(+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -2 (pow.f64 F 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (.f64 2 (/.f64 1 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 2 (pow.f64 F 4))))
(+.f64 (/.f64 4 (pow.f64 F 6)) (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -2 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 -2 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 F 4))) (*.f64 8 (/.f64 1 (pow.f64 F 8)))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 4 (pow.f64 F 6)) (+.f64 (/.f64 2 (pow.f64 F 4)) (/.f64 8 (pow.f64 F 8)))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (+.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 -2 (pow.f64 F 4))) (/.f64 -8 (pow.f64 F 8))))
(+.f64 (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 4 (pow.f64 F 6))) (+.f64 (/.f64 -2 (pow.f64 F 4)) (/.f64 -8 (pow.f64 F 8))))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 2 (pow.f64 F 4)))
(+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -2 (pow.f64 F 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (.f64 2 (/.f64 1 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 2 (pow.f64 F 4))))
(+.f64 (/.f64 4 (pow.f64 F 6)) (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -2 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 -2 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 F 4))) (*.f64 8 (/.f64 1 (pow.f64 F 8)))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 4 (pow.f64 F 6)) (+.f64 (/.f64 2 (pow.f64 F 4)) (/.f64 8 (pow.f64 F 8)))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (+.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 -2 (pow.f64 F 4))) (/.f64 -8 (pow.f64 F 8))))
(+.f64 (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 4 (pow.f64 F 6))) (+.f64 (/.f64 -2 (pow.f64 F 4)) (/.f64 -8 (pow.f64 F 8))))

localize31.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 2 x 2))
✓	0.0b	(hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))
✓	0.1b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
✓	0.2b	(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))

Compiler

Compiled 64 to 44 computations (31.3% saved)

series24.0ms (0%)

Counts

4 → 66

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
2.0ms	F	@	0	(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
1.0ms	x	@	-inf	(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
1.0ms	F	@	-inf	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
1.0ms	x	@	0	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)

rewrite124.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`log-prod_binary64`
335×	`pow2_binary64`
232×	`pow1/3_binary64`
229×	`expm1-udef_binary64`
229×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	279	49
2	3868	49

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

Inputs
(/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))
(sqrt.f64 (fma.f64 2 x 2))

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

simplify116.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

957×	`times-frac_binary64`
646×	`distribute-rgt-in_binary64`
639×	`distribute-lft-in_binary64`
339×	`fma-def_binary64`
181×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	2915
1	1023	2443
2	3511	2279

Stop Event

1×	node limit

Counts

191 → 227

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 5))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 5))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/8 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))))) (pow.f64 F 7))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 5))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F))))
1
(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (pow.f64 F 4))) (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (+.f64 (.f64 2 x) 2) 3)) (+.f64 (.f64 1/16 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 -1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))))))) (pow.f64 F 6))))))
-1
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4)))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 -1/16 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))) (pow.f64 F 6))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4))))) 1)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 F x))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 F x))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 F x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) F)) (pow.f64 x 3))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2))))))
(*.f64 -1 (/.f64 x B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F B)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (.f64 (+.f64 (.f64 2 x) 2) B)))) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F B))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 5)) B)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (.f64 (+.f64 (.f64 2 x) 2) B)))) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F B)))))
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B))) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (.f64 (pow.f64 F 4) B))) (/.f64 1 B))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (+.f64 (.f64 2 x) 2) 3)) (+.f64 (.f64 1/16 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 -1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))))))) (.f64 (pow.f64 F 6) B))) (+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (*.f64 (pow.f64 F 4) B))) (/.f64 1 B)))))
(/.f64 (-.f64 (*.f64 -1 x) 1) B)
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (.f64 (pow.f64 F 4) B))) (+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (pow.f64 F 2) B))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (.f64 (pow.f64 F 4) B)))))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 2 x) 2)) (.f64 (pow.f64 F 6) B))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)) (.f64 (pow.f64 F 4) B))) (+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (pow.f64 F 2) B))) (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 (pow.f64 F 6) B))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (.f64 (pow.f64 F 4) B))) (.f64 1/16 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (.f64 (pow.f64 F 6) B))))))))) (/.f64 1 B))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) F) 1) x) B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) F) 1) x) B)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2)) B))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) F)) (pow.f64 x 3)) B)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) F) 1) x) B)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2)) B)))))
(*.f64 -1 (/.f64 x B))
(*.f64 -1 (/.f64 x B))
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(sqrt.f64 (+.f64 (*.f64 2 x) 2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (pow.f64 F 2))) (sqrt.f64 (+.f64 (.f64 2 x) 2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 4) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (pow.f64 F 2))) (sqrt.f64 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 (pow.f64 F 6) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 4) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (pow.f64 F 2))) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
F
(+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 3))) (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 3))) (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))))
(*.f64 -1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (*.f64 -1 F))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 3))) (*.f64 -1 F)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 3))) (*.f64 -1 F))))
(sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) x) (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) x) (+.f64 (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (pow.f64 x 3))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) x) (+.f64 (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (/.f64 x (sqrt.f64 2)))))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F)
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) -1/2)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 5))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 1 (fma.f64 2 x 2))) -3/8) (pow.f64 F 5)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 2 x 2)) (.f64 -3/8 (pow.f64 F 5)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) -1/2))) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (+.f64 x 1)) -3/16) (pow.f64 F 5)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 5))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/4 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/8 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))))) (pow.f64 F 7))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (.f64 2 x) 2))))) (pow.f64 F 5))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (fma.f64 -1 (.f64 (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 1/16 (.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5)))) (.f64 -1/2 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 1 (fma.f64 2 x 2))) -3/8) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))))))) (pow.f64 F 7)) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 1 (fma.f64 2 x 2))) -3/8) (pow.f64 F 5)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (fma.f64 (neg.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (pow.f64 (fma.f64 2 x 2) 2)) (fma.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 2 x 2)) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2))))) (.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (fma.f64 2 x 2)))))) (pow.f64 F 7) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (fma.f64 2 x 2)) (*.f64 -3/8 (pow.f64 F 5))))))
(-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) -1/2))) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (+.f64 x 1)) -3/16) (pow.f64 F 5))) (.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (pow.f64 (fma.f64 2 x 2) 2)) (fma.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 2)))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (+.f64 x 1)) -3/16) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (+.f64 x 1)) 1/32))) (pow.f64 F 7)))
1
(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (neg.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2) (.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 4)))))
(-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) 1) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 4)))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) 1) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (pow.f64 F 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))) (pow.f64 F 4))) (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (+.f64 (.f64 2 x) 2) 3)) (+.f64 (.f64 1/16 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 -1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2))) (.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))))))) (pow.f64 F 6))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2) (.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 4)) (/.f64 (fma.f64 1/16 (pow.f64 (fma.f64 2 x 2) 3) (fma.f64 1/16 (pow.f64 (fma.f64 2 x 2) 3) (.f64 (.f64 -1/2 (fma.f64 2 x 2)) (fma.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 2) (.f64 -1/4 (pow.f64 (fma.f64 2 x 2) 2)))))) (pow.f64 F 6))))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8)) (pow.f64 F 4))) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (.f64 (fma.f64 2 x 2) -1/2)) (.f64 (pow.f64 (fma.f64 2 x 2) 3) 1/8)) (pow.f64 F 6))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) 1) (-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (pow.f64 F 4)) (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (fma.f64 2 x 2) 3) -3/8)) (*.f64 (pow.f64 (fma.f64 2 x 2) 3) 1/8)) (pow.f64 F 6))))
-1
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1)
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) -1)
(fma.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) 1/2 -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4)))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 (fma.f64 2 x 2) 2) (.f64 (pow.f64 (fma.f64 2 x 2) 2) 1/4)) (pow.f64 F 4)))) -1)
(fma.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) 1/2 (fma.f64 -1 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (pow.f64 F 4)) -1))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 4)) (fma.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) 1/2 -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 2 x) 2)))))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 -1/16 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))) (pow.f64 F 6))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/4 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (*.f64 2 x) 2)))) (pow.f64 F 4))))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (fma.f64 2 x 2) (fma.f64 1/8 (pow.f64 (fma.f64 2 x 2) 2) (.f64 (pow.f64 (fma.f64 2 x 2) 2) 1/4))) (.f64 -1/16 (+.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 (fma.f64 2 x 2) 3)))) (pow.f64 F 6)) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 (fma.f64 2 x 2) 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) 1/4)) (pow.f64 F 4))))) -1)
(fma.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) 1/2 (fma.f64 -1 (+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (pow.f64 F 4)) (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) -1/2) (.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (*.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 3))) (pow.f64 F 6))) -1))
(+.f64 (-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 4)) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 (fma.f64 2 x 2) 3) 3/8) (.f64 -1/8 (pow.f64 (fma.f64 2 x 2) 3))) (pow.f64 F 6))) (fma.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) 1/2 -1))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)
(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))))
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 F x))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) F (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 x F))))
(-.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 x (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
(.f64 F (-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
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(-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B)) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) 1) (/.f64 B x))) (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (/.f64 (/.f64 B (*.f64 x x)) -3/2)))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B) (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) 3/2) B) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) 1) (/.f64 B x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) F)) (pow.f64 x 3)) B)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) F) 1) x) B)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) F))) (pow.f64 x 2)) B)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5)))) -3/2) (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 7))))) (/.f64 B (pow.f64 x 3))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B) (.f64 -1 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) F 1) (/.f64 B x)) (/.f64 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5)))) -3/2) (/.f64 B (*.f64 x x)))))))
(-.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B)) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) 1) (/.f64 B x))) (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (/.f64 (/.f64 B (.f64 x x)) -3/2))) (.f64 (/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7)))) (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (/.f64 (fma.f64 F F 2) -3/2))) B) (pow.f64 x 3)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B) (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) 3/2) B) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) 1) (/.f64 B x)))) (.f64 (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7))) (/.f64 (.f64 (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) 3/2) (fma.f64 F F 2))) B) (pow.f64 x 3)))
(*.f64 -1 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(*.f64 -1 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(/.f64 (+.f64 (.f64 -1 x) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(sqrt.f64 (+.f64 (*.f64 2 x) 2))
(sqrt.f64 (fma.f64 2 x 2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (pow.f64 F 2))) (sqrt.f64 (+.f64 (.f64 2 x) 2)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F F)) (sqrt.f64 (fma.f64 2 x 2)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) 1/2) (.f64 F F) (sqrt.f64 (fma.f64 2 x 2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 4) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (pow.f64 F 2))) (sqrt.f64 (+.f64 (.f64 2 x) 2))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 4) (fma.f64 2 x 2))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 F F)) (sqrt.f64 (fma.f64 2 x 2))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) -1/8) (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) 1/2) (*.f64 F F) (sqrt.f64 (fma.f64 2 x 2))))
(+.f64 (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F F)) (.f64 -1/8 (/.f64 (pow.f64 F 4) (fma.f64 2 x 2))))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 (pow.f64 F 6) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 4) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (pow.f64 F 2))) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 (pow.f64 F 6) (fma.f64 2 x 2))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 4) (fma.f64 2 x 2))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F F)) (sqrt.f64 (fma.f64 2 x 2)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 (pow.f64 F 6) (fma.f64 2 x 2))) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) -1/8) (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) 1/2) (.f64 F F) (sqrt.f64 (fma.f64 2 x 2)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 (pow.f64 F 6) (fma.f64 2 x 2))) (+.f64 (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F F)) (*.f64 -1/8 (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)))))))
F
(+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))
(+.f64 F (*.f64 1/2 (/.f64 (fma.f64 2 x 2) F)))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) F) F)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 3))) (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F))))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (+.f64 F (*.f64 1/2 (/.f64 (fma.f64 2 x 2) F))))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) F) F))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 3))) (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))))
(fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (+.f64 F (*.f64 1/2 (/.f64 (fma.f64 2 x 2) F)))))
(fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) F) F)))
(*.f64 -1 F)
(neg.f64 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (*.f64 -1 F))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (neg.f64 F))
(-.f64 (*.f64 -1/2 (/.f64 (fma.f64 2 x 2) F)) F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 3))) (*.f64 -1 F)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (neg.f64 F)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (-.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) 1/8)) F))
(-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) 1/8))) F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2)) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 3))) (*.f64 -1 F))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (neg.f64 F))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)) (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) 1/8))) F))
(sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))
(sqrt.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)))
(hypot.f64 F (sqrt.f64 2))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) x) (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) x (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))
(fma.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (hypot.f64 F (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) x) (+.f64 (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) x (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 x x)) (sqrt.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 x x)) (hypot.f64 F (sqrt.f64 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (pow.f64 x 3))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) x) (+.f64 (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (pow.f64 x 3)) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) x (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 x x)) (sqrt.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x x)) (hypot.f64 F (sqrt.f64 2)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 -1/4 (/.f64 (.f64 x x) (sqrt.f64 2)))))
(+.f64 (+.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2))) (.f64 -1/4 (/.f64 (.f64 x x) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (/.f64 x (sqrt.f64 2)) (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (.f64 -1/4 (/.f64 (.f64 x x) (sqrt.f64 2))))))

eval491.0ms (0.7%)

Compiler: Compiled 19890 to 13802 computations (30.6% saved)

prune167.0ms (0.2%)

Pruning

54 alts after pruning (49 fresh and 5 done)

	Pruned	Kept	Total
New	787	22	809
Fresh	13	27	40
Picked	1	0	1
Done	2	5	7
Total	803	54	857

Error

Counts

857 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	52.2b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
✓	50.6b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	51.0b	(/.f64 (-.f64 -1 x) B)
	48.1b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
	57.7b	(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
	34.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (neg.f64 (sin.f64 B)))))
	31.7b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	54.4b	(+.f64 (/.f64 -1 B) 1)
✓	52.4b	(neg.f64 (/.f64 x B))
	33.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B))))
	57.4b	(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
	33.4b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	45.3b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	33.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
	54.2b	(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 -1 (sin.f64 B)) 2)))
	59.6b	(*.f64 (/.f64 -1 F) (/.f64 F B))
	56.2b	(-.f64 (-.f64 1 (/.f64 1 B)) 1)
	55.2b	(-.f64 (/.f64 -1 B) 1)
	33.7b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	36.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	37.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	33.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	47.4b	(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
	57.0b	(/.f64 1 B)
	34.1b	(+.f64 (neg.f64 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
✓	50.6b	(/.f64 -1 (sin.f64 B))
✓	56.0b	(/.f64 -1 B)
	53.6b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	17.0b	(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	52.5b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
	52.2b	(/.f64 (-.f64 1 x) B)
	52.5b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	50.7b	(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
	60.4b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	36.1b	(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
	56.6b	(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
	32.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) F)))
	50.7b	(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
	52.8b	(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
	31.7b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
	58.4b	(*.f64 (/.f64 1 F) (/.f64 F B))
	33.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	31.7b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
	33.7b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	56.6b	(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
	57.2b	(*.f64 (/.f64 F B) (sqrt.f64 1/2))
	56.1b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
✓	50.6b	(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
	46.1b	(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
	57.2b	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
	34.5b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	49.0b	(/.f64 1 (sin.f64 B))
	50.7b	(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
	52.4b	(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))

Compiler

Compiled 819 to 626 computations (23.6% saved)

regimes944.0ms (1.3%)

Counts

113 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (neg.f64 (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(cbrt.f64 (/.f64 -1 (pow.f64 (sin.f64 B) 3)))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 -1 (sin.f64 B)) 2)))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))))
(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2))
(pow.f64 (/.f64 B (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) -1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 2 x 2))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 B))) 2) (/.f64 -1 (cbrt.f64 (sin.f64 B))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x) B) 3))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (*.f64 (/.f64 1 (sin.f64 B)) F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (log1p.f64 (expm1.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (sqrt.f64 (*.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4)) 2))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (sqrt.f64 (.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sin.f64 B))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))

(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))

(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

4 calls:

343.0ms	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
212.0ms	B
187.0ms	F
146.0ms	x

Results

Error	Segments	Branch
0.2b	3	`F`
4.8b	3	`B`
0.4b	2	`x`
0.8b	4	`(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))`

Compiler

Compiled 1778 to 1062 computations (40.3% saved)

bsearch2.2s (3.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.3s	28.243624767793033	2.756951633767979e+22
924.0ms	-489448010199.01166	-331769155.9096871

Compiler

Compiled 915 to 679 computations (25.8% saved)

regimes855.0ms (1.2%)

Counts

91 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (neg.f64 (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(cbrt.f64 (/.f64 -1 (pow.f64 (sin.f64 B) 3)))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 -1 (sin.f64 B)) 2)))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))))
(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2))
(pow.f64 (/.f64 B (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) x)) -1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 2 x 2))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))

(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))

(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

4 calls:

269.0ms	B
231.0ms	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
155.0ms	F
120.0ms	x

Results

Error	Segments	Branch
0.2b	3	`F`
9.5b	5	`B`
15.3b	2	`x`
9.8b	4	`(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))`

Compiler

Compiled 1255 to 760 computations (39.4% saved)

bsearch2.2s (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.3s	28.243624767793033	2.756951633767979e+22
846.0ms	-489448010199.01166	-331769155.9096871

Compiler

Compiled 858 to 660 computations (23.1% saved)

regimes839.0ms (1.2%)

Counts

81 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (neg.f64 (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(cbrt.f64 (/.f64 -1 (pow.f64 (sin.f64 B) 3)))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 -1 (sin.f64 B)) 2)))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))

(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))

(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

415.0ms	B
205.0ms	F
180.0ms	x

Results

Error	Segments	Branch
0.5b	3	`F`
15.5b	6	`B`
17.9b	3	`x`

Compiler

Compiled 1012 to 615 computations (39.2% saved)

bsearch2.2s (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.5s	6.175946062053522e-10	28.243624767793033
650.0ms	-801201.4761726101	-288262.01111734135

Compiler

Compiled 591 to 463 computations (21.7% saved)

regimes985.0ms (1.4%)

Counts

77 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (neg.f64 (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(cbrt.f64 (/.f64 -1 (pow.f64 (sin.f64 B) 3)))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 -1 (sin.f64 B)) 2)))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))

(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

581.0ms	B
205.0ms	F
130.0ms	x

Results

Error	Segments	Branch
0.5b	3	`F`
15.5b	6	`B`
17.9b	3	`x`

Compiler

Compiled 930 to 567 computations (39% saved)

bsearch566.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
443.0ms	6.175946062053522e-10	28.243624767793033
121.0ms	-801201.4761726101	-288262.01111734135

Compiler

Compiled 199 to 156 computations (21.6% saved)

regimes931.0ms (1.3%)

Counts

72 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (neg.f64 (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(log1p.f64 (expm1.f64 (/.f64 -1 (sin.f64 B))))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(cbrt.f64 (/.f64 -1 (pow.f64 (sin.f64 B) 3)))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

341.0ms	B
297.0ms	F
234.0ms	x

Results

Error	Segments	Branch
5.8b	5	`F`
18.6b	5	`B`
17.9b	3	`x`

Compiler

Compiled 847 to 512 computations (39.6% saved)

bsearch4.3s (5.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
836.0ms	3.8764750300613794e-42	8.171494260408958e-35
1.5s	1.2160235889003079e-182	9.159844916101573e-163
1.1s	-1.2500750317553366e-142	-1.068081808203052e-146
865.0ms	-288262.01111734135	-2.1723371140402684e-8

Compiler

Compiled 1485 to 1137 computations (23.4% saved)

regimes1.2s (1.6%)

Counts

62 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (neg.f64 (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

573.0ms	x
314.0ms	F
237.0ms	B

Results

Error	Segments	Branch
5.8b	5	`F`
19.8b	3	`B`
21.5b	9	`x`

Compiler

Compiled 723 to 444 computations (38.6% saved)

bsearch4.2s (5.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
1.0s	3.8764750300613794e-42	8.171494260408958e-35
1.6s	1.2160235889003079e-182	9.159844916101573e-163
661.0ms	-1.2500750317553366e-142	-1.068081808203052e-146
925.0ms	-288262.01111734135	-2.1723371140402684e-8

Compiler

Compiled 1377 to 1065 computations (22.7% saved)

regimes774.0ms (1.1%)

Counts

60 → 6

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (neg.f64 (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

366.0ms	x
220.0ms	F
162.0ms	B

Results

Error	Segments	Branch
8.6b	6	`F`
23.2b	5	`B`
24.1b	8	`x`

Compiler

Compiled 685 to 420 computations (38.7% saved)

bsearch3.3s (4.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
470.0ms	1.3895479610859937e-42	3.8764750300613794e-42
533.0ms	4.693756031506014e-114	1.1447318210173199e-112
908.0ms	1.2160235889003079e-182	9.159844916101573e-163
665.0ms	-1.2500750317553366e-142	-1.068081808203052e-146
765.0ms	-7.610960962154396e-62	-1.6377594936647355e-75

Compiler

Compiled 1389 to 1081 computations (22.2% saved)

regimes588.0ms (0.8%)

Counts

52 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))

Outputs
(/.f64 -1 (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

230.0ms	x
176.0ms	B
164.0ms	F

Results

Error	Segments	Branch
16.2b	5	`F`
23.4b	5	`B`
24.1b	8	`x`

Compiler

Compiled 568 to 360 computations (36.6% saved)

bsearch2.2s (3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
399.0ms	1.3895479610859937e-42	3.8764750300613794e-42
512.0ms	4.693756031506014e-114	1.1447318210173199e-112
824.0ms	1.2160235889003079e-182	9.159844916101573e-163
445.0ms	-801201.4761726101	-288262.01111734135

Compiler

Compiled 837 to 653 computations (22% saved)

regimes486.0ms (0.7%)

Counts

47 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))

Outputs
(/.f64 -1 (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 1 (sin.f64 B))

Calls

3 calls:

186.0ms	x
150.0ms	B
120.0ms	F

Results

Error	Segments	Branch
21.1b	5	`F`
26.6b	6	`B`
24.9b	7	`x`

Compiler

Compiled 512 to 330 computations (35.5% saved)

bsearch3.2s (4.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
1.2s	3.495195041977065e+23	1.101755614097472e+29
775.0ms	4.417855103972073e-106	4.820511728133098e-103
816.0ms	1.2160235889003079e-182	9.159844916101573e-163
436.0ms	-801201.4761726101	-288262.01111734135

Compiler

Compiled 975 to 778 computations (20.2% saved)

regimes681.0ms (0.9%)

Counts

44 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))

Outputs
(/.f64 -1 (sin.f64 B))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 1 (sin.f64 B))

Calls

3 calls:

281.0ms	x
211.0ms	F
158.0ms	B

Results

Error	Segments	Branch
21.1b	5	`F`
28.1b	4	`B`
24.7b	8	`x`

Compiler

Compiled 486 to 318 computations (34.6% saved)

bsearch3.7s (5.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
1.2s	3.495195041977065e+23	1.101755614097472e+29
744.0ms	4.417855103972073e-106	4.820511728133098e-103
972.0ms	1.2160235889003079e-182	9.159844916101573e-163
826.0ms	-801201.4761726101	-288262.01111734135

Compiler

Compiled 975 to 778 computations (20.2% saved)

regimes639.0ms (0.9%)

Counts

43 → 10

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 1/2 B)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 1 (sin.f64 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))

Calls

3 calls:

295.0ms	x
208.0ms	B
120.0ms	F

Results

Error	Segments	Branch
24.1b	6	`F`
27.3b	8	`B`
23.9b	10	`x`

Compiler

Compiled 478 to 314 computations (34.3% saved)

bsearch1.1s (1.5%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
110.0ms	5.300682684352538e-28	2.3320471793415535e-22
108.0ms	5.264213198462519e-90	5.906096282577553e-90
133.0ms	2.7924663554414065e-211	9.196082420168389e-211
127.0ms	3.1471728084220373e-243	3.356721912980472e-243
111.0ms	-3.3107171265862537e-298	-6.56276719403855e-299
112.0ms	-3.9531053242878095e-280	-1.8588874385918047e-284
112.0ms	-1.7078417522561465e-246	-4.114037111198256e-249
125.0ms	-7.543195578376606e-134	-6.2328470063047145e-136
125.0ms	-3.265693301720736e-23	-2.9503510015902298e-24

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes431.0ms (0.6%)

Counts

35 → 10

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 (sin.f64 B)))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 1 (sin.f64 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))

Calls

3 calls:

168.0ms	x
145.0ms	B
106.0ms	F

Results

Error	Segments	Branch
24.1b	6	`F`
27.3b	8	`B`
23.9b	10	`x`

Compiler

Compiled 324 to 214 computations (34% saved)

bsearch993.0ms (1.4%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
109.0ms	5.300682684352538e-28	2.3320471793415535e-22
107.0ms	5.264213198462519e-90	5.906096282577553e-90
106.0ms	2.7924663554414065e-211	9.196082420168389e-211
109.0ms	3.1471728084220373e-243	3.356721912980472e-243
112.0ms	-3.3107171265862537e-298	-6.56276719403855e-299
122.0ms	-3.9531053242878095e-280	-1.8588874385918047e-284
108.0ms	-1.7078417522561465e-246	-4.114037111198256e-249
110.0ms	-7.543195578376606e-134	-6.2328470063047145e-136
110.0ms	-3.265693301720736e-23	-2.9503510015902298e-24

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes469.0ms (0.7%)

Counts

33 → 10

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))

Calls

3 calls:

182.0ms	x
143.0ms	F
133.0ms	B

Results

Error	Segments	Branch
24.3b	9	`F`
27.4b	8	`B`
24.1b	10	`x`

Compiler

Compiled 295 to 194 computations (34.2% saved)

bsearch1.1s (1.5%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
112.0ms	5.300682684352538e-28	2.3320471793415535e-22
108.0ms	5.264213198462519e-90	5.906096282577553e-90
132.0ms	2.7924663554414065e-211	9.196082420168389e-211
130.0ms	6.391977702784811e-259	2.2282106861627866e-256
132.0ms	-3.3107171265862537e-298	-6.56276719403855e-299
112.0ms	-3.9531053242878095e-280	-1.8588874385918047e-284
108.0ms	-1.7078417522561465e-246	-4.114037111198256e-249
109.0ms	-7.543195578376606e-134	-6.2328470063047145e-136
108.0ms	-3.265693301720736e-23	-2.9503510015902298e-24

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes370.0ms (0.5%)

Counts

30 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) -1) 1)
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)

Outputs
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(neg.f64 (/.f64 x B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 1 (sin.f64 B))

Calls

3 calls:

226.0ms	x
73.0ms	F
61.0ms	B

Results

Error	Segments	Branch
28.7b	5	`F`
36.5b	4	`B`
36.9b	8	`x`

Compiler

Compiled 259 to 168 computations (35.1% saved)

bsearch3.2s (4.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
676.0ms	1.2012805448110741e-70	2.0820540228433418e-66
938.0ms	1.6750866479451197e-141	1.2764510125025504e-132
640.0ms	-7.584232068216801e-176	-3.770021477891321e-177
927.0ms	-1.0031054197373439e-11	-7.760423954537827e-17

Compiler

Compiled 630 to 507 computations (19.5% saved)

regimes356.0ms (0.5%)

Counts

26 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))

Outputs
(/.f64 -1 (sin.f64 B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))

Calls

3 calls:

161.0ms	x
94.0ms	B
92.0ms	F

Results

Error	Segments	Branch
31.7b	3	`F`
36.5b	4	`B`
38.3b	5	`x`

Compiler

Compiled 231 to 149 computations (35.5% saved)

bsearch1.7s (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.2s	28.243624767793033	2.756951633767979e+22
526.0ms	-5.0137750974575545e-31	-3.546199962449943e-32

Compiler

Compiled 563 to 436 computations (22.6% saved)

regimes249.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))

Outputs
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))

Calls

3 calls:

119.0ms	x
62.0ms	F
49.0ms	B

Results

Error	Segments	Branch
34.9b	2	`F`
36.5b	4	`B`
38.0b	7	`x`

Compiler

Compiled 227 to 147 computations (35.2% saved)

bsearch1.5s (2.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.5s	4.628244021540537e-29	2.221848162829588e-15

Compiler

Compiled 366 to 288 computations (21.3% saved)

regimes82.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)

Outputs
(/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B)
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)

Calls

3 calls:

25.0ms	F
25.0ms	B
24.0ms	x

Results

Error	Segments	Branch
41.0b	2	`F`
44.4b	2	`B`
44.5b	2	`x`

Compiler

Compiled 219 to 142 computations (35.2% saved)

bsearch122.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
121.0ms	-1.2500750317553366e-142	-1.068081808203052e-146

Compiler

Compiled 84 to 64 computations (23.8% saved)

regimes101.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)

Outputs
(/.f64 (-.f64 -1 x) B)
(/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B)

Calls

3 calls:

40.0ms	x
31.0ms	B
23.0ms	F

Results

Error	Segments	Branch
41.1b	2	`F`
47.4b	1	`B`
45.2b	3	`x`

Compiler

Compiled 198 to 127 computations (35.9% saved)

bsearch890.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
890.0ms	-4.751447515608235e-51	-9.775393284946387e-62

Compiler

Compiled 356 to 268 computations (24.7% saved)

regimes155.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))

Outputs
(/.f64 (-.f64 -1 x) B)
(neg.f64 (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)

Calls

3 calls:

57.0ms	B
55.0ms	x
35.0ms	F

Results

Error	Segments	Branch
41.1b	3	`F`
48.2b	4	`B`
46.9b	4	`x`

Compiler

Compiled 179 to 114 computations (36.3% saved)

bsearch2.0s (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.0s	6.175946062053522e-10	28.243624767793033
1.0s	-4.751447515608235e-51	-9.775393284946387e-62

Compiler

Compiled 476 to 358 computations (24.8% saved)

regimes178.0ms (0.2%)

Counts

19 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))

Outputs
(/.f64 (-.f64 -1 x) B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 1 x) B)

Calls

3 calls:

70.0ms	B
55.0ms	x
47.0ms	F

Results

Error	Segments	Branch
41.2b	3	`F`
48.2b	4	`B`
46.9b	4	`x`

Compiler

Compiled 149 to 97 computations (34.9% saved)

bsearch1.8s (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
592.0ms	1.3895479610859937e-42	3.8764750300613794e-42
1.2s	-4.751447515608235e-51	-9.775393284946387e-62

Compiler

Compiled 291 to 223 computations (23.4% saved)

regimes60.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (/.f64 -1 B) 1)

Outputs
(/.f64 (-.f64 -1 x) B)
(neg.f64 (/.f64 x B))
(/.f64 1 B)

Calls

3 calls:

27.0ms	x
18.0ms	F
14.0ms	B

Results

Error	Segments	Branch
43.2b	3	`F`
48.8b	3	`B`
46.0b	5	`x`

Compiler

Compiled 35 to 25 computations (28.6% saved)

bsearch2.1s (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.0s	4.628244021540537e-29	2.221848162829588e-15
1.1s	-4.751447515608235e-51	-9.775393284946387e-62

Compiler

Compiled 356 to 278 computations (21.9% saved)

regimes47.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))

Outputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 1 B)

Calls

3 calls:

18.0ms	B
14.0ms	x
13.0ms	F

Results

Error	Segments	Branch
45.5b	3	`F`
50.0b	4	`B`
47.7b	4	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.3s (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.1s	4.628244021540537e-29	2.221848162829588e-15
229.0ms	-9.775393284946387e-62	-7.610960962154396e-62

Compiler

Compiled 231 to 184 computations (20.3% saved)

regimes63.0ms (0.1%)

Accuracy

Total -12.0b remaining (-23.6%)

Threshold costs -12.0b (-23.6%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)

Outputs
(/.f64 -1 B)
(/.f64 1 B)

Calls

3 calls:

45.0ms	F
9.0ms	B
8.0ms	x

Results

Error	Segments	Branch
50.9b	2	`F`
54.3b	2	`B`
54.8b	2	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch1.1s (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.1s	-3.940414103528762e-246	-1.5294601277811166e-261

Compiler

Compiled 176 to 148 computations (15.9% saved)

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

37×	`+-commutative_binary64`
29×	`*-commutative_binary64`
16×	`sub-neg_binary64`
15×	`unsub-neg_binary64`
13×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	236	2028
1	304	1916
2	359	1916
3	382	1916
4	391	1916
5	393	1916

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 F -340000000) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 57/2) (+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -340000000) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 57/2) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -290000) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 5996272065288561/9671406556917033397649408) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -500000) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 10) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -1662273001970115/75557863725914323419136) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2))))) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6277101735386681/1569275433846670190958947355801916604025588861116008628224) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -1662273001970115/75557863725914323419136) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6277101735386681/1569275433846670190958947355801916604025588861116008628224) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))
(if (<=.f64 F -800000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -800000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 4648049780556435/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 110000000000000006409433382912) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 F -800000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (if (<=.f64 F 4648049780556435/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 110000000000000006409433382912) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 x -1389072307934233/42535295865117307932921825928971026432) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 x -7716195487431777/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (if (<=.f64 x -6722237600103571/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -8079121360947129/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (if (<=.f64 x -7800951209899067/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 6048627922530559/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 x 6615226042120065/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (+.f64 (/.f64 -1 B) 1) (if (<=.f64 x 6036732842475227/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 369403668506279/696898287454081973172991196020261297061888) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)))))))))))
(if (<=.f64 x -1389072307934233/42535295865117307932921825928971026432) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 x -7716195487431777/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (if (<=.f64 x -6722237600103571/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -8079121360947129/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (if (<=.f64 x -7800951209899067/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 6048627922530559/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (/.f64 (+.f64 (/.f64 F (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 -1 x)) B) (if (<=.f64 x 6615226042120065/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (+.f64 (/.f64 -1 B) 1) (if (<=.f64 x 6036732842475227/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 369403668506279/696898287454081973172991196020261297061888) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)))))))))))
(if (<=.f64 x -1389072307934233/42535295865117307932921825928971026432) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 x -7716195487431777/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (if (<=.f64 x -6722237600103571/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -8079121360947129/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (if (<=.f64 x -7800951209899067/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 5532625901194983/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (/.f64 (.f64 (sqrt.f64 1/2) F) B) (if (<=.f64 x 6615226042120065/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 6036732842475227/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 369403668506279/696898287454081973172991196020261297061888) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)))))))))))
(if (<=.f64 F -6328111796339321/81129638414606681695789005144064) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -2673305049388005/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (.f64 (/.f64 F B) (sqrt.f64 1/2)) (if (<=.f64 F 1997919072202235/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (neg.f64 (/.f64 x B)) (if (<=.f64 F 3792089677624623/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 F -178405961588245/356811923176489970264571492362373784095686656) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 27000000000000002097152) (/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F 5577662641004209/2535301200456458802993406410752) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (/.f64 1 (sin.f64 B)))
(if (<=.f64 F -5623642243178995/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B))
(if (<=.f64 F -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 (-.f64 -1 x) B) (/.f64 (+.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)))) (*.f64 -1 x)) B))
(if (<=.f64 F -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 4722366482869645/9444732965739290427392) (neg.f64 (/.f64 x B)) (/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)))
(if (<=.f64 F -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (neg.f64 (/.f64 x B)) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 5577662641004209/2535301200456458802993406410752) (neg.f64 (/.f64 x B)) (/.f64 1 B)))
(if (<=.f64 F -5500124238772519/57896044618658097711785492504343953926634992332820282019728792003956564819968) (/.f64 -1 B) (if (<=.f64 F 5577662641004209/2535301200456458802993406410752) (neg.f64 (/.f64 x B)) (/.f64 1 B)))
(if (<=.f64 F -7675396917123699/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (/.f64 -1 B) (/.f64 1 B))
(/.f64 1 B)

Outputs
(if (<=.f64 F -340000000) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 57/2) (+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -340000000) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 57/2) (+.f64 (.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -340000000) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 57/2) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -340000000) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 57/2) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -340000000) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 57/2) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (neg.f64 (/.f64 x (tan.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -340000000) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 57/2) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -290000) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 5996272065288561/9671406556917033397649408) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -290000) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 5996272065288561/9671406556917033397649408) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 x 2)))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -290000) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 5996272065288561/9671406556917033397649408) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 x 2))))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -500000) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 10) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -500000) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 10) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -500000) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 10) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -1662273001970115/75557863725914323419136) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2))))) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6277101735386681/1569275433846670190958947355801916604025588861116008628224) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -1662273001970115/75557863725914323419136) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (/.f64 (neg.f64 x) B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6277101735386681/1569275433846670190958947355801916604025588861116008628224) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 x 2))))) (/.f64 (neg.f64 x) B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -1662273001970115/75557863725914323419136) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (/.f64 x B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6277101735386681/1569275433846670190958947355801916604025588861116008628224) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 x 2))))) (/.f64 x B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -1662273001970115/75557863725914323419136) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6277101735386681/1569275433846670190958947355801916604025588861116008628224) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -1662273001970115/75557863725914323419136) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (/.f64 (neg.f64 x) B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6277101735386681/1569275433846670190958947355801916604025588861116008628224) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (/.f64 (neg.f64 x) B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -1662273001970115/75557863725914323419136) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (/.f64 x B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6277101735386681/1569275433846670190958947355801916604025588861116008628224) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (/.f64 x B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))
(if (<=.f64 F -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (+.f64 (/.f64 (neg.f64 x) B) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2)))) (/.f64 F B))) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (neg.f64 x)) B) (if (<=.f64 F 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))
(if (<=.f64 F -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2)))) (/.f64 F B)) (/.f64 x B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) x) B) (if (<=.f64 F 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))
(if (<=.f64 F -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3432398830065305/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2)))) (/.f64 F B)) (/.f64 x B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) x) B) (if (<=.f64 F 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))
(if (<=.f64 F -800000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 1823517583980905/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 5963246648617347/1569275433846670190958947355801916604025588861116008628224) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
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(if (<=.f64 F 5577662641004209/2535301200456458802993406410752) (/.f64 (+.f64 (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) F)) (.f64 -1 F))) (.f64 -1 x)) B) (/.f64 1 (sin.f64 B)))
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(if (<=.f64 F -5623642243178995/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (/.f64 (+.f64 (neg.f64 x) (/.f64 F (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 x 2)) F)) (neg.f64 F)))) B) (/.f64 (+.f64 (neg.f64 x) (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 x 2)) F))))) B))
(if (<=.f64 F -5623642243178995/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (/.f64 (-.f64 (/.f64 F (-.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 x 2)) F)) F)) x) B) (/.f64 (-.f64 (/.f64 F (+.f64 F (.f64 1/2 (/.f64 (+.f64 2 (.f64 x 2)) F)))) x) B))
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(if (<=.f64 F -5500124238772519/57896044618658097711785492504343953926634992332820282019728792003956564819968) (/.f64 -1 B) (if (<=.f64 F 5577662641004209/2535301200456458802993406410752) (neg.f64 (/.f64 x B)) (/.f64 1 B)))
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(if (<=.f64 F -7675396917123699/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (/.f64 -1 B) (/.f64 1 B))
(/.f64 1 B)

Compiler

Compiled 1345 to 896 computations (33.4% saved)

soundness0.0ms (0%)

end576.0ms (0.8%)

Compiler: Compiled 1276 to 752 computations (41.1% saved)