Details

analyze1.0s (3.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	93.6%	6.4%	8
6.2%	87.4%	6.4%	9
10.9%	79.6%	9.5%	10
13.7%	73.7%	12.6%	11
17.7%	68.8%	13.4%	12

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.2s (13.5%)

Results

2.1s	2355×	body	1024	valid
1.3s	4742×	body	256	valid
552.0ms	1154×	body	512	valid
258.0ms	1154×	body	256	invalid
6.0ms	5×	body	2048	valid
1.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid

preprocess79.0ms (0.3%)

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)

simplify99.0ms (0.3%)

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

11.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.8b	(+.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)))))
▶	11.7b	(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)))

Status

Error

Program

▶

11.8b

(+.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)))))

▶

11.7b

(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)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize50.0ms (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)))
✓	5.7b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
✓	17.7b	(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
6.0ms	F	@	0	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
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))))
3.0ms	x	@	inf	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
3.0ms	F	@	0	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
2.0ms	F	@	inf	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

rewrite89.0ms (0.3%)

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))))))

simplify195.0ms (0.6%)

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))

localize59.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (neg.f64 x) (tan.f64 B))
✓	0.1b	(/.f64 F (sin.f64 B))
✓	5.6b	(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)))
✓	17.7b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

Compiler

Compiled 62 to 29 computations (53.2% saved)

series123.0ms (0.4%)

Counts

4 → 88

Calls

27 calls:

Time	Variable		Point	Expression
65.0ms	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)))
16.0ms	x	@	inf	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
10.0ms	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)))
3.0ms	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)))
3.0ms	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)))

rewrite159.0ms (0.5%)

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 F (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))

Outputs
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((#(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))))))
((#(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))))))

simplify113.0ms (0.4%)

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 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))))))))
(.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)))

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 (.f64 x 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 (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 (.f64 x 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 (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))))
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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 (.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))

eval622.0ms (2%)

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

prune507.0ms (1.6%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	575	27	602
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	577	27	604

Error

0.0b

Counts

604 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	35.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
▶	9.2b	(+.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)))
	11.4b	(+.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))))
	30.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	28.9b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	10.8b	(+.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)))
	53.0b	(/.f64 1 (sin.f64 B))
	9.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
	11.9b	(+.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))))
▶	33.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	12.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B)))) 3))
	34.4b	(+.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)))))
	30.3b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	29.0b	(+.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))))
	33.7b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	11.8b	(+.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)))))
	30.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
▶	11.7b	(+.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)))))
	53.9b	(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
▶	53.3b	(/.f64 -1 (sin.f64 B))
	29.0b	(+.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)))))
	31.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	43.2b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	37.0b	(fma.f64 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	21.9b	(+.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	33.6b	(+.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)))))
▶	12.2b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (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)))))

Compiler

Compiled 1242 to 928 computations (25.3% saved)

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.3b	(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
✓	0.5b	(/.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B))
✓	17.7b	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

Compiler

Compiled 97 to 58 computations (40.2% saved)

series34.0ms (0.1%)

Counts

3 → 68

Calls

21 calls:

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

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
345×	`pow-prod-down_binary64`
325×	`pow2_binary64`
226×	`pow1/3_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	252	47
2	3110	45

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-rgt-in_binary64`
663×	`times-frac_binary64`
403×	`fma-def_binary64`
251×	`*-commutative_binary64`
239×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	3888
1	1321	3427
2	4260	3078

Stop Event

1×	node limit

Counts

163 → 211

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

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))))
(+.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)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 (*.f64 3/8 (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 -5/16 (*.f64 (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 -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 (.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 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 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (/.f64 1 F))))
(fma.f64 1/8 (/.f64 (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 1/4 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 1 F))))
(+.f64 (+.f64 (/.f64 1 F) (/.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 F 5))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3))))
(+.f64 (+.f64 (/.f64 1 F) (/.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 F 5))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 (-.f64 -1 x) (pow.f64 F 3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 3) (pow.f64 F 7))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(fma.f64 -1/8 (/.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) 2) (pow.f64 F 5)) (fma.f64 -1/6 (/.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 -1/2 (/.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)) (/.f64 1 F)))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (+.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) -3/16) (+.f64 (+.f64 (/.f64 1 F) (/.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 F 5))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (+.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) -3/16) (+.f64 (+.f64 (/.f64 1 F) (/.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 F 5))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 (-.f64 -1 x) (pow.f64 F 3))))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (*.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2) (/.f64 1 F))
(fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (/.f64 -1 F))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/4 (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 F 5)))) (/.f64 1 F))
(-.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (pow.f64 F 5)))) (/.f64 1 F))
(fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (fma.f64 -1 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 5) 3/8)) (/.f64 -1 F)))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 5)) (fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (/.f64 -1 F)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (.f64 2 x) 2) 3)) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 (.f64 2 x) 2) 3)) (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))) (pow.f64 F 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/4 (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))))) (/.f64 1 F))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/48 (pow.f64 (fma.f64 2 x 2) 3) (.f64 (pow.f64 (fma.f64 2 x 2) 3) -7/24)) (pow.f64 F 7)) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (neg.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (pow.f64 F 5))))) (/.f64 1 F))
(+.f64 (-.f64 (-.f64 (.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2) (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 5) 3/8))) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 3) -5/16) (pow.f64 F 7))) (/.f64 -1 F))
(+.f64 (fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 5))) (+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 3) 5/16) (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 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 (.f64 -1/4 (.f64 (+.f64 2 (*.f64 F F)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) x))
(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 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (.f64 -1/4 (.f64 (+.f64 2 (.f64 F F)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) x)) (/.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))))
(+.f64 (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)))) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x)))
(+.f64 (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 (pow.f64 2 -1/2) (/.f64 x (pow.f64 (fma.f64 F F 2) 2))) (/.f64 (pow.f64 x -1/2) (/.f64 x 3/32))))
(+.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)))))
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(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F)
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.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))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 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 5)) (sqrt.f64 (+.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))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (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 5) (sqrt.f64 (fma.f64 2 x 2)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))))) (.f64 1/2 (.f64 (pow.f64 F 5) (.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)) (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))))) (.f64 1/2 (.f64 (pow.f64 F 5) (.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)) (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 (.f64 2 x) 2)) (.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))))))) (+.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 5)) (sqrt.f64 (+.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))) (fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 (fma.f64 2 x 2)) (pow.f64 F 7)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (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 1 (.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (fma.f64 2 x 2) 2))))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (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 5) (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F))))
(+.f64 (fma.f64 (.f64 -1/2 (sqrt.f64 (fma.f64 2 x 2))) (.f64 (pow.f64 F 7) (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 (pow.f64 F 5) (.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)) (sqrt.f64 (fma.f64 2 x 2)))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (*.f64 -1/2 (/.f64 (pow.f64 F 3) (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 5)) (.f64 -1/2 (.f64 (pow.f64 F 7) (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 F (*.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))))))
1
(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (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 x) (*.f64 F F)))
(+.f64 1 (+.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)) (pow.f64 F 4))) (.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (pow.f64 F 2)))))
(+.f64 1 (.f64 -1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (/.f64 (fma.f64 2 x 2) (*.f64 F F)))))
(fma.f64 -1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4))) 1)
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (/.f64 (-.f64 -1 x) (.f64 F F))))
(+.f64 1 (+.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))) (pow.f64 F 6))) (+.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)) (pow.f64 F 4))) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 2))))))
(+.f64 1 (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 (fma.f64 2 x 2) -1/2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (.f64 -1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (/.f64 (fma.f64 2 x 2) (*.f64 F F))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4)) (/.f64 (+.f64 -1 (neg.f64 x)) (.f64 F F)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (/.f64 (-.f64 -1 x) (.f64 F F)))))
-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)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (.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 4)))) 1)
(+.f64 (.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)))) -1)
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4))) -1)
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4))) -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (+.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 4))) (.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 6))))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (/.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 (fma.f64 2 x 2) -1/2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6))))) -1)
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (fma.f64 1/2 (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (/.f64 (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4))) -1))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)))) -1)
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (.f64 x F)) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))
(-.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x F)))
(.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))))))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 1/2 (.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))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (.f64 x F)) (fma.f64 1/2 (.f64 (.f64 F (.f64 (.f64 x x) (-.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)))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))))
(-.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 1/2 (.f64 (.f64 F (-.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))) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 F F 2)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x F)))
(+.f64 (.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)))))) (.f64 (.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (.f64 x x) F)) (*.f64 (sqrt.f64 (fma.f64 F F 2)) 1/2)))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 1/2 (.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))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 F (.f64 (pow.f64 x 3) (+.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)))))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (.f64 x F)) (fma.f64 1/2 (.f64 (.f64 F (.f64 (.f64 x x) (-.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)))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (fma.f64 -1/2 (.f64 F (.f64 (.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))))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F))))))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (.f64 1/2 (.f64 F (.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))))) (.f64 (.f64 -1/2 F) (.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 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x F))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (.f64 F (+.f64 (.f64 1/2 (.f64 (.f64 x 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 (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 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)))))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 B)
✓	0.1b	(/.f64 -1 (sin.f64 B))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series5.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite141.0ms (0.4%)

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	9
1	99	9
2	1142	9

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

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

simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

624×	`unswap-sqr_binary64`
523×	`cancel-sign-sub-inv_binary64`
523×	`fma-def_binary64`
439×	`associate-l_binary64`
341×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	101
1	78	95
2	191	95
3	531	95
4	1215	95
5	2915	95
6	5180	95
7	6790	95

Stop Event

1×	node limit

Counts

45 → 51

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))
B
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)
(+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (.f64 -1/5040 (pow.f64 B 7)) (+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 -1/6 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B (fma.f64 -7/360 (*.f64 B B) -1/6) (/.f64 -1 B)))
B
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)
(fma.f64 -1/6 (pow.f64 B 3) B)
(+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (.f64 -1/6 (pow.f64 B 3)) B))
(fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/6 (pow.f64 B 3) B))
(fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/6 (pow.f64 B 3) B))
(fma.f64 -1/6 (pow.f64 B 3) (fma.f64 (pow.f64 B 5) 1/120 B))
(+.f64 (.f64 -1/5040 (pow.f64 B 7)) (+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))
(fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 -1/6 (pow.f64 B 3) (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 (pow.f64 B 5) 1/120 B)))
(fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/6 (pow.f64 B 3) (fma.f64 -1/5040 (pow.f64 B 7) B)))
(fma.f64 -1/6 (pow.f64 B 3) (fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/5040 (pow.f64 B 7) B)))

localize28.0ms (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)))
✓	5.7b	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))

Compiler

Compiled 59 to 29 computations (50.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`pow1_binary64`
795×	`add-log-exp_binary64`
795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
776×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	169	6
2	2323	6

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))

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

simplify159.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
676×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	169
1	53	169
2	112	169
3	269	169
4	469	169
5	981	169
6	1393	169
7	2029	169
8	2137	169
9	2299	169
10	2512	169
11	2842	169
12	3298	169
13	3896	169
14	4646	169
15	5576	169
16	6082	169
17	6572	169
18	6966	169
19	7290	169
20	7452	169

Stop Event

1×	node limit

Counts

73 → 56

Calls

Call 1

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

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (tan.f64 B))
	0.1b	(/.f64 F (sin.f64 B))
	5.7b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	17.7b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 110 to 60 computations (45.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
520×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	106	6
2	1404	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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 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 1 (/.f64 x (tan.f64 B)))))) (#(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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (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 (neg.f64 x) (/.f64 1 (neg.f64 (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 (/.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)) (cbrt.f64 (/.f64 x (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 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 neg.f64 (/.f64 x (neg.f64 (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 cbrt.f64 (pow.f64 (/.f64 x (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))))))))

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

943×	`fma-def_binary64`
598×	`associate-l_binary64`
467×	`associate-r_binary64`
372×	`distribute-neg-in_binary64`
355×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	313
1	95	299
2	317	289
3	1431	287
4	7015	287

Stop Event

1×	node limit

Counts

55 → 40

Calls

Call 1

Inputs
(/.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))

Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(fma.f64 -1/3 (*.f64 B x) (/.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 B x))))
(-.f64 (fma.f64 -1/3 (.f64 B x) (/.f64 x B)) (.f64 (*.f64 x 1/45) (pow.f64 B 3)))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 x (.f64 B -1/3) (/.f64 x B)))
(fma.f64 B (fma.f64 x -1/3 (.f64 x (.f64 -1/45 (*.f64 B 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 (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 B x)))))
(-.f64 (-.f64 (fma.f64 -1/3 (.f64 B x) (/.f64 x B)) (.f64 (.f64 x 1/45) (pow.f64 B 3))) (.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (pow.f64 B 5)))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 (pow.f64 B 5) (neg.f64 (.f64 x 2/945)) (fma.f64 x (*.f64 B -1/3) (/.f64 x B))))
(fma.f64 B (.f64 x -1/3) (fma.f64 x (.f64 (pow.f64 B 3) -1/45) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (/.f64 x (tan.f64 B)))
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
	5.7b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	17.7b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 129 to 69 computations (46.5% saved)

series16.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1_binary64`
705×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	175	14
2	1927	14

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

simplify178.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	216
1	33	192
2	59	192
3	83	192
4	127	192
5	219	192
6	589	192
7	1253	192
8	1345	192
9	1483	192
10	1646	192
11	1885	192
12	2212	192
13	2641	192
14	3149	192
15	3755	192
16	4484	192
17	4807	192
18	5091	192
19	5311	192
20	5489	192
21	5573	192
22	6516	192
23	7493	192
24	7959	192

Stop Event

1×	node limit

Counts

89 → 78

Calls

Call 1

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

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

eval643.0ms (2%)

Compiler: Compiled 29596 to 18717 computations (36.8% saved)

prune317.0ms (1%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	851	31	882
Fresh	15	7	22
Picked	1	0	1
Done	3	1	4
Total	870	39	909

Error

Counts

909 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	10.8b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
	29.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
▶	58.2b	(/.f64 -1 B)
▶	43.8b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))))
	31.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
	30.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	28.9b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	46.4b	(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	53.0b	(/.f64 1 (sin.f64 B))
	31.4b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
	29.0b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	33.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
	43.2b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
▶	33.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	34.9b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	6.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
	34.4b	(+.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)))))
▶	43.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
	23.8b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	11.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (pow.f64 (/.f64 (sin.f64 B) F) -1) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	29.3b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	30.8b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	57.7b	(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
	29.0b	(+.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))))
	33.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (/.f64 1 F)))
▶	6.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
✓	53.3b	(/.f64 -1 (sin.f64 B))
	11.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	50.3b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	30.2b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))
	33.7b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 F (sin.f64 B)) F))
	33.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
	56.8b	(/.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 B) 3)))
	53.4b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	58.4b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	31.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (sin.f64 B))))
	58.3b	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
	41.8b	(+.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	30.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))

Compiler

Compiled 1413 to 1074 computations (24% saved)

localize115.0ms (0.4%)

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)))
✓	0.2b	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
✓	0.3b	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))

Compiler

Compiled 104 to 65 computations (37.5% saved)

series30.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

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

rewrite65.0ms (0.2%)

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

((#(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))))))

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	2832
1	964	2321
2	3369	2188

Stop Event

1×	node limit

Counts

134 → 160

Calls

Call 1

Inputs
(.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)))))))
(.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))))))

Outputs
(.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B)
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) B)
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) 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))
(fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B))
(.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
(+.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)))
(fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B)))
(fma.f64 1/120 (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (pow.f64 B 5)) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (*.f64 -1/6 (pow.f64 B 3)))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 B (+.f64 (.f64 1/120 (pow.f64 B 5)) (*.f64 -1/6 (pow.f64 B 3)))))
(+.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))))
(fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (fma.f64 -1/5040 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 7)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (.f64 -1/5040 (pow.f64 B 7)))) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (.f64 1/120 (pow.f64 B 5)) (*.f64 -1/6 (pow.f64 B 3)))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (+.f64 B (.f64 -1/5040 (pow.f64 B 7))) (+.f64 (.f64 1/120 (pow.f64 B 5)) (.f64 -1/6 (pow.f64 B 3)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.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 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))))
(fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)) (.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))))
(.f64 (sin.f64 B) (+.f64 (sqrt.f64 (fma.f64 2 x 2)) (.f64 (.f64 F (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 1/2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 (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)))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4)))))))
(fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 F 4) (/.f64 (fma.f64 2 x 2) (sin.f64 B)))))))
(+.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 4) (/.f64 (fma.f64 2 x 2) (sin.f64 B)))) (.f64 1/2 (.f64 (.f64 F F) (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 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))))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 1/16 (.f64 (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 6))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))))))))
(fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 1/16 (.f64 (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 6))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 -1/8 (/.f64 (pow.f64 F 4) (/.f64 (fma.f64 2 x 2) (sin.f64 B))))))))
(+.f64 (fma.f64 1/16 (.f64 (.f64 (/.f64 (pow.f64 F 6) (fma.f64 2 x 2)) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 4) (/.f64 (fma.f64 2 x 2) (sin.f64 B)))) (.f64 1/2 (.f64 (.f64 F F) (sin.f64 B))))))
(*.f64 (sin.f64 B) F)
(*.f64 F (sin.f64 B))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 (sin.f64 B) F))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (*.f64 F (sin.f64 B)))
(fma.f64 F (sin.f64 B) (.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2))))
(fma.f64 F (sin.f64 B) (.f64 (/.f64 1/2 F) (.f64 (fma.f64 2 x 2) (sin.f64 B))))
(+.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)))))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (fma.f64 (sin.f64 B) F (*.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 F (sin.f64 B) (.f64 -1/8 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (pow.f64 F 3)) (pow.f64 (fma.f64 2 x 2) 2)) (*.f64 F (sin.f64 B))))
(+.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))))))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (fma.f64 (sin.f64 B) F (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (.f64 1/16 (/.f64 (fma.f64 2 x 2) (/.f64 (pow.f64 F 5) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2))))))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 F (sin.f64 B) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) (.f64 1/16 (/.f64 (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 5))))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 F (sin.f64 B) (fma.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (pow.f64 F 3)) (pow.f64 (fma.f64 2 x 2) 2)) (*.f64 1/16 (/.f64 (sin.f64 B) (/.f64 (pow.f64 F 5) (pow.f64 (fma.f64 2 x 2) 3)))))))
(.f64 -1 (.f64 (sin.f64 B) F))
(neg.f64 (*.f64 F (sin.f64 B)))
(*.f64 (sin.f64 B) (neg.f64 F))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))
(fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (*.f64 F (sin.f64 B))))
(-.f64 (.f64 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) -1/2) (*.f64 F (sin.f64 B)))
(-.f64 (.f64 (/.f64 -1/2 F) (.f64 (fma.f64 2 x 2) (sin.f64 B))) (*.f64 F (sin.f64 B)))
(+.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))))
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(-.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 (.f64 F F) (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 1 (sin.f64 B)))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (.f64 F F) (sin.f64 B))) (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))))
(+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (sin.f64 B)) (/.f64 (pow.f64 F 4) -3/8)) (fma.f64 (/.f64 1/2 (*.f64 F F)) (/.f64 (fma.f64 2 x 2) (sin.f64 B)) (/.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 (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 1/8 (/.f64 (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)) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (.f64 F F) (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 1 (sin.f64 B)))
(+.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 (.f64 F F)) (/.f64 (fma.f64 2 x 2) (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 -1 (sin.f64 B)))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (.f64 F F) (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 (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)))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(+.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))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (.f64 1/6 (.f64 F B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 1/6 (*.f64 F B))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 (*.f64 1/6 F) B)))
(+.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)))))))))
(fma.f64 -1 (.f64 (pow.f64 B 3) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2))))) -7/360)) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (.f64 1/6 (.f64 F B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2)))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))) (.f64 (pow.f64 B 3) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (.f64 F -7/360))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 (.f64 1/6 F) B)) (.f64 (pow.f64 B 3) (.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)))
(+.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))))))))))
(fma.f64 -1 (.f64 (pow.f64 B 3) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2))))) -7/360)) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (fma.f64 -1 (.f64 (pow.f64 B 5) (fma.f64 1/720 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2))))) (fma.f64 -1/5040 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2))))) (.f64 1/6 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2))))) -7/360))))) (.f64 (.f64 1/6 (.f64 F B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2))))))))
(+.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))) (.f64 (pow.f64 B 3) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (.f64 F -7/360)))) (.f64 (pow.f64 B 5) (neg.f64 (+.f64 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) -7/2160) (.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 1/840)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 (.f64 1/6 F) B)) (.f64 (pow.f64 B 3) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360))) (.f64 (pow.f64 B 5) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) -31/15120)))
(.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 (.f64 F F) (fma.f64 2 x 2)))))
(*.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 (.f64 F F) (fma.f64 2 x 2)))))
(*.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 (.f64 F F) (fma.f64 2 x 2)))))
(*.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 (.f64 F F) (fma.f64 2 x 2)))))
(*.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 (.f64 F F) (fma.f64 2 x 2)))))
(*.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 (.f64 F F) (fma.f64 2 x 2)))))
(*.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 (.f64 F F) (fma.f64 2 x 2)))))
(*.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 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 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)))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (/.f64 (sin.f64 B) x)))))
(-.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 x (/.f64 (sin.f64 B) F))))
(+.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)))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))) (.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))) -3/2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 x (/.f64 (sin.f64 B) F)) (.f64 x (.f64 x (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (/.f64 F (sin.f64 B)) -3/2)))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 x (/.f64 (sin.f64 B) F)) (.f64 x (.f64 x (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (*.f64 (/.f64 F (sin.f64 B)) -3/2))))))
(+.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))))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))) (.f64 -1 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))) -3/2)) (.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))) -3/2) (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 7))))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 x (/.f64 (sin.f64 B) F)) (.f64 x (.f64 x (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (/.f64 F (sin.f64 B)) -3/2)))))) (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (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))) (/.f64 F (sin.f64 B))) (/.f64 (fma.f64 F F 2) -3/2))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (/.f64 F (sin.f64 B))) 3/2) (.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (/.f64 F (sin.f64 B))) 3/2) (fma.f64 F F 2))) x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 x (/.f64 (sin.f64 B) F)))))

localize3.0ms (0%)

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
	0.2b	(/.f64 1 (tan.f64 B))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.3b	(*.f64 1/6 B)

Compiler

Compiled 54 to 34 computations (37% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	B	@	-inf	(*.f64 1/6 B)
1.0ms	x	@	0	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
1.0ms	B	@	0	(*.f64 1/6 B)
1.0ms	B	@	0	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
0.0ms	B	@	inf	(*.f64 1/6 B)

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`fma-def_binary64`
686×	`log-prod_binary64`
428×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	296	20
2	4269	20

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

Inputs
(*.f64 1/6 B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))

Outputs

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(fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (+.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B) (+.f64 (/.f64 1 B) (/.f64 x (tan.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))) (fma.f64 1/6 B (/.f64 1 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) (fma.f64 1/6 B (/.f64 1 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) (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/6 B (/.f64 1 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))) (fma.f64 1/6 B (/.f64 1 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))) (fma.f64 1/6 B (/.f64 1 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))) (fma.f64 1/6 B (/.f64 1 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) (fma.f64 1/6 B (/.f64 1 B)))))))

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

516×	`cancel-sign-sub-inv_binary64`
487×	`*-commutative_binary64`
443×	`associate--l+_binary64`
366×	`associate--r+_binary64`
361×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	469
1	138	441
2	358	437
3	1498	433
4	3303	433

Stop Event

1×	node limit

Counts

164 → 157

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 F (sin.f64 B))
✓	0.2b	(/.f64 (tan.f64 B) x)
✓	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))
	5.7b	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))

Compiler

Compiled 59 to 25 computations (57.6% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite51.0ms (0.2%)

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)))))))

simplify67.0ms (0.2%)

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)))

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 B))
	0.2b	(/.f64 1 (tan.f64 B))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	1.3b	(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	B	@	-inf	(/.f64 1 (sin.f64 B))
0.0ms	B	@	0	(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))
0.0ms	B	@	inf	(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))
0.0ms	B	@	-inf	(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))
0.0ms	B	@	0	(/.f64 1 (sin.f64 B))

rewrite45.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`pow1_binary64`
481×	`add-sqr-sqrt_binary64`
460×	`add-log-exp_binary64`
460×	`expm1-log1p-u_binary64`
459×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	116	12
2	1296	12

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

simplify161.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
676×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	146
1	53	146
2	112	146
3	267	146
4	467	146
5	971	146
6	1386	146
7	2022	146
8	2130	146
9	2292	146
10	2505	146
11	2835	146
12	3291	146
13	3889	146
14	4639	146
15	5571	146
16	6079	146
17	6569	146
18	6963	146
19	7285	146
20	7445	146

Stop Event

1×	node limit

Counts

64 → 35

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 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 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))))

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

eval424.0ms (1.3%)

Compiler: Compiled 17922 to 10877 computations (39.3% saved)

prune313.0ms (1%)

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	721	18	739
Fresh	11	22	33
Picked	1	0	1
Done	3	2	5
Total	736	42	778

Error

Counts

778 → 42

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.2b	(/.f64 -1 B)
	43.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	29.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
▶	33.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
▶	30.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	51.6b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
	51.3b	(/.f64 (-.f64 1 x) B)
	54.4b	(+.f64 (neg.f64 (/.f64 x B)) (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))))
	53.0b	(/.f64 1 (sin.f64 B))
	31.4b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
	30.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
▶	58.3b	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
	33.9b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (/.f64 1 F)))
	34.9b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	33.1b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
	32.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
	43.2b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	29.0b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	51.6b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	41.8b	(+.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	33.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
▶	6.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
	51.3b	(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	29.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
	34.4b	(+.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)))))
	23.8b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	29.3b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	30.8b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	57.7b	(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
	29.0b	(+.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))))
	57.4b	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
▶	62.0b	(*.f64 1/6 B)
	31.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
	30.2b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))
	53.2b	(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
✓	53.3b	(/.f64 -1 (sin.f64 B))
	50.3b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	31.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
	53.4b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	58.4b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	30.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	56.8b	(/.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 B) 3)))

Compiler

Compiled 1371 to 1045 computations (23.8% saved)

localize79.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 F (/.f64 1 (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
	0.3b	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
✓	0.3b	(/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))

Compiler

Compiled 103 to 65 computations (36.9% saved)

series31.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
3.0ms	x	@	-inf	(.f64 F (/.f64 1 (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))
3.0ms	x	@	-inf	(/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
2.0ms	x	@	0	(/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
2.0ms	B	@	0	(/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
349×	`pow-prod-down_binary64`
314×	`pow2_binary64`
222×	`pow1/3_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	263	36
2	3128	35

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

simplify128.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

693×	`distribute-rgt-in_binary64`
686×	`distribute-lft-in_binary64`
559×	`times-frac_binary64`
367×	`fma-def_binary64`
240×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	3436
1	1159	2703
2	4166	2544

Stop Event

1×	node limit

Counts

129 → 155

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/6 B)

Compiler

Compiled 8 to 6 computations (25% saved)

localize27.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
✓	0.3b	(*.f64 -1/6 (pow.f64 B 3))

Compiler

Compiled 31 to 24 computations (22.6% saved)

series6.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(*.f64 -1/6 (pow.f64 B 3))
1.0ms	B	@	inf	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
1.0ms	B	@	-inf	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
1.0ms	B	@	-inf	(*.f64 -1/6 (pow.f64 B 3))
1.0ms	B	@	inf	(*.f64 -1/6 (pow.f64 B 3))

rewrite76.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`pow1_binary64`
876×	`add-log-exp_binary64`
876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
859×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	200	18
2	2396	18

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 B 3))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 B 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 B 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 B 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 B 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 B 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 B 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 B 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))) (sqrt.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/6 (pow.f64 B 3) B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 B 3) (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216))) (+.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B (-.f64 B (*.f64 -1/6 (pow.f64 B 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B B))) (-.f64 (*.f64 -1/6 (pow.f64 B 3)) B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -1/6 (pow.f64 B 3) B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/6 (pow.f64 B 3) B) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))))

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

737×	`fma-def_binary64`
710×	`times-frac_binary64`
445×	`associate-/l*_binary64`
396×	`associate-*l/_binary64`
379×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	219
1	106	213
2	242	213
3	567	213
4	1208	213
5	3235	213

Stop Event

1×	node limit

Counts

46 → 48

Calls

Call 1

Inputs
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/6 B) (.f64 -1/36 (pow.f64 B 3))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/216 (pow.f64 B 5)) (+.f64 (.f64 -1/6 B) (*.f64 -1/36 (pow.f64 B 3)))) (/.f64 1 B))
(/.f64 6 (pow.f64 B 3))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (*.f64 6 (/.f64 1 (pow.f64 B 3)))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 B 9))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))))
(/.f64 6 (pow.f64 B 3))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (*.f64 6 (/.f64 1 (pow.f64 B 3)))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 B 9))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))))

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 -1/6 B) (.f64 -1/36 (pow.f64 B 3))) (/.f64 1 B))
(-.f64 (fma.f64 -1/6 B (*.f64 -1/36 (pow.f64 B 3))) (/.f64 1 B))
(fma.f64 B -1/6 (fma.f64 -1/36 (pow.f64 B 3) (/.f64 -1 B)))
(-.f64 (+.f64 (.f64 -1/216 (pow.f64 B 5)) (+.f64 (.f64 -1/6 B) (*.f64 -1/36 (pow.f64 B 3)))) (/.f64 1 B))
(-.f64 (fma.f64 -1/216 (pow.f64 B 5) (fma.f64 -1/6 B (*.f64 -1/36 (pow.f64 B 3)))) (/.f64 1 B))
(fma.f64 -1/216 (pow.f64 B 5) (fma.f64 B -1/6 (fma.f64 -1/36 (pow.f64 B 3) (/.f64 -1 B))))
(fma.f64 B -1/6 (fma.f64 -1/216 (pow.f64 B 5) (fma.f64 -1/36 (pow.f64 B 3) (/.f64 -1 B))))
(fma.f64 -1/36 (pow.f64 B 3) (fma.f64 -1/216 (pow.f64 B 5) (fma.f64 B -1/6 (/.f64 -1 B))))
(/.f64 6 (pow.f64 B 3))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3)))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (*.f64 6 (/.f64 1 (pow.f64 B 3)))))
(+.f64 (+.f64 (/.f64 216 (pow.f64 B 7)) (/.f64 36 (pow.f64 B 5))) (/.f64 6 (pow.f64 B 3)))
(+.f64 (/.f64 36 (pow.f64 B 5)) (+.f64 (/.f64 6 (pow.f64 B 3)) (/.f64 216 (pow.f64 B 7))))
(+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 216 (pow.f64 B 7))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 B 9))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))))
(+.f64 (/.f64 216 (pow.f64 B 7)) (+.f64 (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3))) (/.f64 1296 (pow.f64 B 9))))
(+.f64 (/.f64 216 (pow.f64 B 7)) (+.f64 (+.f64 (/.f64 1296 (pow.f64 B 9)) (/.f64 6 (pow.f64 B 3))) (/.f64 36 (pow.f64 B 5))))
(+.f64 (/.f64 36 (pow.f64 B 5)) (+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 216 (pow.f64 B 7)) (/.f64 1296 (pow.f64 B 9)))))
(+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 1296 (pow.f64 B 9)) (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 216 (pow.f64 B 7)))))
(/.f64 6 (pow.f64 B 3))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3)))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (*.f64 6 (/.f64 1 (pow.f64 B 3)))))
(+.f64 (+.f64 (/.f64 216 (pow.f64 B 7)) (/.f64 36 (pow.f64 B 5))) (/.f64 6 (pow.f64 B 3)))
(+.f64 (/.f64 36 (pow.f64 B 5)) (+.f64 (/.f64 6 (pow.f64 B 3)) (/.f64 216 (pow.f64 B 7))))
(+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 216 (pow.f64 B 7))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 B 9))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))))
(+.f64 (/.f64 216 (pow.f64 B 7)) (+.f64 (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3))) (/.f64 1296 (pow.f64 B 9))))
(+.f64 (/.f64 216 (pow.f64 B 7)) (+.f64 (+.f64 (/.f64 1296 (pow.f64 B 9)) (/.f64 6 (pow.f64 B 3))) (/.f64 36 (pow.f64 B 5))))
(+.f64 (/.f64 36 (pow.f64 B 5)) (+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 216 (pow.f64 B 7)) (/.f64 1296 (pow.f64 B 9)))))
(+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 1296 (pow.f64 B 9)) (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 216 (pow.f64 B 7)))))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 F (sin.f64 B))
	0.2b	(/.f64 (tan.f64 B) x)
	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))
✓	5.7b	(/.f64 (/.f64 F (sin.f64 B)) F)

Compiler

Compiled 52 to 18 computations (65.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	130	9
2	1889	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (/.f64 F (sin.f64 B)) F)

Outputs

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

simplify175.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
676×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	169
1	53	169
2	112	169
3	269	169
4	469	169
5	981	169
6	1393	169
7	2029	169
8	2137	169
9	2299	169
10	2512	169
11	2842	169
12	3298	169
13	3896	169
14	4646	169
15	5576	169
16	6082	169
17	6572	169
18	6966	169
19	7290	169
20	7452	169

Stop Event

1×	node limit

Counts

62 → 46

Calls

Call 1

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	0.1b	(/.f64 1 (sin.f64 B))
✓	0.1b	(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
✓	0.2b	(/.f64 (sin.f64 B) (cos.f64 B))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series15.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	B	@	0	(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
1.0ms	B	@	-inf	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
1.0ms	B	@	inf	(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
1.0ms	B	@	-inf	(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
1.0ms	x	@	0	(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))

rewrite122.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log-prod_binary64`
386×	`pow-prod-down_binary64`
339×	`fma-def_binary64`
306×	`pow2_binary64`
215×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	225	23
2	3436	23

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

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

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

816×	`distribute-rgt-in_binary64`
780×	`distribute-lft-in_binary64`
658×	`associate-l_binary64`
633×	`associate-r_binary64`
366×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	935
1	240	871
2	713	813
3	3276	793

Stop Event

1×	node limit

Counts

271 → 248

Calls

Call 1

Inputs
B
(+.f64 (*.f64 1/3 (pow.f64 B 3)) B)
(+.f64 (.f64 1/3 (pow.f64 B 3)) (+.f64 (.f64 2/15 (pow.f64 B 5)) B))
(+.f64 (.f64 1/3 (pow.f64 B 3)) (+.f64 (.f64 2/15 (pow.f64 B 5)) (+.f64 (*.f64 17/315 (pow.f64 B 7)) 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 x B)
(+.f64 (/.f64 x B) (.f64 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (+.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (pow.f64 B 5)) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(/.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 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (.f64 -1/2 x)) B) (+.f64 (.f64 (-.f64 (+.f64 7/360 (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 31/15120 (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (.f64 -1/2 x)) B) (+.f64 (.f64 (-.f64 (+.f64 7/360 (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))))) (*.f64 1/24 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)))
(/.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))))

Outputs
B
(+.f64 (*.f64 1/3 (pow.f64 B 3)) B)
(fma.f64 1/3 (pow.f64 B 3) B)
(+.f64 (.f64 1/3 (pow.f64 B 3)) (+.f64 (.f64 2/15 (pow.f64 B 5)) B))
(fma.f64 1/3 (pow.f64 B 3) (fma.f64 2/15 (pow.f64 B 5) B))
(+.f64 (.f64 1/3 (pow.f64 B 3)) (+.f64 (.f64 2/15 (pow.f64 B 5)) (+.f64 (*.f64 17/315 (pow.f64 B 7)) B)))
(fma.f64 1/3 (pow.f64 B 3) (fma.f64 2/15 (pow.f64 B 5) (fma.f64 17/315 (pow.f64 B 7) B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (.f64 B (.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 (*.f64 B x) -1/3 (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/3) B (.f64 (pow.f64 B 3) (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (*.f64 x -1/3)))))))
(+.f64 (/.f64 x B) (fma.f64 B (.f64 x -1/3) (.f64 (pow.f64 B 3) (-.f64 (.f64 x 1/30) (.f64 x 1/18)))))
(fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (+.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (pow.f64 B 5)) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/3) B (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) (fma.f64 -1/5040 x (.f64 (.f64 x -1/3) 1/120)))) (pow.f64 B 5) (.f64 (pow.f64 B 3) (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (*.f64 x -1/3))))))))
(+.f64 (/.f64 x B) (fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (.f64 (pow.f64 B 5) (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (fma.f64 x -1/5040 (.f64 x -1/360))))))))
(+.f64 (/.f64 x B) (fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (.f64 (pow.f64 B 5) (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (.f64 x -1/45) (.f64 x -1/336)))))))
(+.f64 (/.f64 x B) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 B (.f64 x -1/3) (.f64 (pow.f64 B 5) (+.f64 (.f64 x 1/630) (*.f64 x -1/270))))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 1/6 (-.f64 (.f64 x -1/6) (*.f64 x -1/2)))) (/.f64 (-.f64 1 x) B))
(fma.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 (+.f64 1/6 (.f64 -1/6 x)) (.f64 -1/2 x)) B) (+.f64 (.f64 (-.f64 (+.f64 7/360 (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (-.f64 (.f64 x -1/6) (.f64 x -1/2))) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (+.f64 1/6 (.f64 x 1/3)) (.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (.f64 x 1/18)) (-.f64 7/360 (.f64 x 1/24))))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 31/15120 (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (.f64 -1/2 x)) B) (+.f64 (.f64 (-.f64 (+.f64 7/360 (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 31/15120 (-.f64 (fma.f64 -1/6 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) (fma.f64 -1/5040 x (.f64 (.f64 x -1/3) 1/120))) (.f64 x -1/720))) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (-.f64 (.f64 x -1/6) (.f64 x -1/2))) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 -1/6 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (fma.f64 x -1/5040 (.f64 x -1/360))) (-.f64 31/15120 (.f64 x -1/720))) (+.f64 (fma.f64 B (+.f64 1/6 (.f64 x 1/3)) (.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (.f64 x 1/18)) (-.f64 7/360 (.f64 x 1/24))))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (fma.f64 x 1/720 (+.f64 (.f64 x -1/336) (fma.f64 -1/6 (.f64 x -1/45) 31/15120))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 (.f64 x 1/270) (+.f64 (.f64 x -1/630) 31/15120)) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)) (/.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 (/.f64 (cos.f64 B) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (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 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 -1 (/.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) (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 -1 (/.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) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 x (neg.f64 (/.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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 -1 (/.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) (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 -1 (/.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) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 x (neg.f64 (/.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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 -1 (/.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) (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 -1 (/.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) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

eval405.0ms (1.3%)

Compiler: Compiled 19230 to 11081 computations (42.4% saved)

prune143.0ms (0.5%)

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	727	18	745
Fresh	8	27	35
Picked	1	0	1
Done	2	4	6
Total	738	49	787

Error

Counts

787 → 49

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.2b	(/.f64 -1 B)
	43.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	29.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
	62.5b	(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
✓	33.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
	62.3b	(/.f64 6 (pow.f64 B 3))
	62.6b	(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
	51.6b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
	32.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
	51.3b	(/.f64 (-.f64 1 x) B)
	54.4b	(+.f64 (neg.f64 (/.f64 x B)) (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))))
	34.9b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	33.1b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
	43.2b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	29.0b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	30.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
	33.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
	51.6b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	58.4b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	62.9b	(exp.f64 (log.f64 (*.f64 1/6 B)))
	29.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
	29.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
	51.3b	(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	58.3b	(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))
	34.4b	(+.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)))))
	29.3b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	33.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
	23.8b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	30.8b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	57.7b	(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
	29.0b	(+.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))))
	57.4b	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
	62.7b	(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
	31.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
✓	62.0b	(*.f64 1/6 B)
	30.9b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (log1p.f64 (expm1.f64 (tan.f64 B)))))
	30.1b	(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
	30.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	50.3b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
✓	53.3b	(/.f64 -1 (sin.f64 B))
	53.2b	(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	31.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
	50.3b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
	62.0b	(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
	53.4b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	31.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 F (/.f64 1 (.f64 F (sin.f64 B)))))
	53.0b	(/.f64 1 (sin.f64 B))
	31.4b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
	30.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))

Compiler

Compiled 756 to 583 computations (22.9% saved)

regimes1.1s (3.4%)

Counts

96 → 3

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (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 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 x (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)) F))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (sin.f64 B))))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 F (/.f64 1 (.f64 F (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) 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 (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
(/.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 (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.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 -1 (cbrt.f64 (pow.f64 (sin.f64 B) 3)))
(+.f64 (neg.f64 (/.f64 x B)) (expm1.f64 (log1p.f64 (/.f64 1 (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 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (+.f64 (*.f64 1/6 B) (/.f64 1 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 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
(+.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 x (tan.f64 B))) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (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 (/.f64 1 (sin.f64 B)) (/.f64 x (log1p.f64 (expm1.f64 (tan.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(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 1 (/.f64 (tan.f64 B) x))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.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 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (pow.f64 (/.f64 (sin.f64 B) F) -1) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x (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 (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (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 0 (/.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 (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 (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (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 (pow.f64 (cbrt.f64 (/.f64 x (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)))))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (.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)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B)))) 3))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (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 (tan.f64 B))) (/.f64 -1 (sin.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)))

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

Calls

4 calls:

308.0ms	B
276.0ms	F
244.0ms	(+.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)))))
207.0ms	x

Results

Error	Segments	Branch
0.2b	3	`F`
5.3b	2	`B`
0.3b	2	`x`
1.0b	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 1535 to 851 computations (44.6% saved)

bsearch594.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
474.0ms	2.2418643941861996e-9	320913.0980235816
119.0ms	-1.0033849805166836e+65	-1.667603505336964e+64

Compiler

Compiled 396 to 288 computations (27.3% saved)

regimes716.0ms (2.3%)

Counts

90 → 3

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (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 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 x (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)) F))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (sin.f64 B))))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 F (/.f64 1 (.f64 F (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) 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 (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
(/.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 (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.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 -1 (cbrt.f64 (pow.f64 (sin.f64 B) 3)))
(+.f64 (neg.f64 (/.f64 x B)) (expm1.f64 (log1p.f64 (/.f64 1 (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 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (+.f64 (*.f64 1/6 B) (/.f64 1 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 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
(+.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 x (tan.f64 B))) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (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 (/.f64 1 (sin.f64 B)) (/.f64 x (log1p.f64 (expm1.f64 (tan.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(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 1 (/.f64 (tan.f64 B) x))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.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 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (pow.f64 (/.f64 (sin.f64 B) F) -1) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x (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 (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (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 0 (/.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 (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 (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (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 (pow.f64 (cbrt.f64 (/.f64 x (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)))))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (.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 (tan.f64 B))) (/.f64 -1 (sin.f64 B)))

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

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

Calls

4 calls:

200.0ms	(+.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)))))
192.0ms	F
179.0ms	B
108.0ms	x

Results

Error	Segments	Branch
0.2b	3	`F`
5.3b	2	`B`
0.3b	2	`x`
1.0b	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 1384 to 769 computations (44.4% saved)

bsearch633.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
514.0ms	2.2418643941861996e-9	320913.0980235816
118.0ms	-2.726741513697295e+28	-8.747573791921014e+24

Compiler

Compiled 386 to 298 computations (22.8% saved)

regimes615.0ms (2%)

Counts

74 → 3

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (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 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 x (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)) F))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (sin.f64 B))))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 F (/.f64 1 (.f64 F (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) 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 (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
(/.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 (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.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 -1 (cbrt.f64 (pow.f64 (sin.f64 B) 3)))
(+.f64 (neg.f64 (/.f64 x B)) (expm1.f64 (log1p.f64 (/.f64 1 (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 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (+.f64 (*.f64 1/6 B) (/.f64 1 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 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
(+.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 x (tan.f64 B))) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (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 (/.f64 1 (sin.f64 B)) (/.f64 x (log1p.f64 (expm1.f64 (tan.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))

Outputs

(+.f64 (neg.f64 (/.f64 x (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:

175.0ms	F
149.0ms	B
128.0ms	x
128.0ms	(+.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)))))

Results

Error	Segments	Branch
0.3b	3	`F`
9.1b	3	`B`
10.3b	2	`x`
7.4b	3	`(+.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 1019 to 575 computations (43.6% saved)

bsearch804.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
685.0ms	2.2418643941861996e-9	320913.0980235816
118.0ms	-1.0033849805166836e+65	-1.667603505336964e+64

Compiler

Compiled 456 to 348 computations (23.7% saved)

regimes1.2s (4%)

Counts

67 → 3

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (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 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 x (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)) F))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (sin.f64 B))))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 F (/.f64 1 (.f64 F (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) 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 (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
(/.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 (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.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 -1 (cbrt.f64 (pow.f64 (sin.f64 B) 3)))
(+.f64 (neg.f64 (/.f64 x B)) (expm1.f64 (log1p.f64 (/.f64 1 (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 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (+.f64 (*.f64 1/6 B) (/.f64 1 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 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
(+.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 (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:

512.0ms	B
468.0ms	x
245.0ms	F

Results

Error	Segments	Branch
0.3b	3	`F`
17.3b	5	`B`
12.5b	6	`x`

Compiler

Compiled 841 to 472 computations (43.9% saved)

bsearch987.0ms (3.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
849.0ms	2.2418643941861996e-9	320913.0980235816
138.0ms	-2.726741513697295e+28	-8.747573791921014e+24

Compiler

Compiled 396 to 308 computations (22.2% saved)

regimes1.2s (3.7%)

Counts

62 → 4

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (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 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 x (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)) F))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (sin.f64 B))))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 F (/.f64 1 (.f64 F (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) 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 (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
(/.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 (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.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 -1 (cbrt.f64 (pow.f64 (sin.f64 B) 3)))
(+.f64 (neg.f64 (/.f64 x B)) (expm1.f64 (log1p.f64 (/.f64 1 (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 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))

Outputs
(+.f64 (neg.f64 (/.f64 x (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 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F 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

3 calls:

520.0ms	x
310.0ms	F
296.0ms	B

Results

Error	Segments	Branch
6.4b	4	`F`
18.9b	6	`B`
12.8b	6	`x`

Compiler

Compiled 738 to 408 computations (44.7% saved)

bsearch1.1s (3.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
312.0ms	5.556852230777347e-21	1.4889029681057505e-20
44.0ms	-2.8398871081244284e-55	-3.2286662854231493e-62
714.0ms	-3.432197761181622e-20	-1.0517403010873344e-27

Compiler

Compiled 675 to 513 computations (24% saved)

regimes839.0ms (2.7%)

Counts

56 → 3

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (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 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 x (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)) F))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (sin.f64 B))))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 F (/.f64 1 (.f64 F (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) 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 (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
(/.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 (tan.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))

Outputs

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

(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F 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

3 calls:

401.0ms	B
288.0ms	x
132.0ms	F

Results

Error	Segments	Branch
7.5b	3	`F`
20.2b	4	`B`
19.9b	6	`x`

Compiler

Compiled 655 to 366 computations (44.1% saved)

bsearch622.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
259.0ms	5.556852230777347e-21	1.4889029681057505e-20
363.0ms	-3.8440447821442805e-32	-4.879627292048583e-33

Compiler

Compiled 493 to 375 computations (23.9% saved)

regimes618.0ms (2%)

Counts

55 → 3

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (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 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 x (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)) F))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 F (sin.f64 B))))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 F (/.f64 1 (.f64 F (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 F (/.f64 1 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) 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 (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
(/.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 (tan.f64 B))) (/.f64 -1 (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

226.0ms	x
188.0ms	F
186.0ms	B

Results

Error	Segments	Branch
11.8b	3	`F`
20.2b	4	`B`
22.1b	5	`x`

Compiler

Compiled 631 to 353 computations (44.1% saved)

bsearch120.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	2.9886584394449284e-66	3.832705952638778e-56
49.0ms	-3.1443986411397645e-62	-1.592759319879551e-72

Compiler

Compiled 87 to 67 computations (23% saved)

regimes425.0ms (1.3%)

Counts

34 → 5

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 -1 (+.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3) B))

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

Calls

3 calls:

161.0ms	x
152.0ms	F
97.0ms	B

Results

Error	Segments	Branch
17.1b	5	`F`
27.3b	4	`B`
23.4b	6	`x`

Compiler

Compiled 321 to 199 computations (38% saved)

bsearch460.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
51.0ms	2.9886584394449284e-66	3.832705952638778e-56
152.0ms	-4.3054389017120584e+69	-1.0033849805166836e+65
115.0ms	-1.1354215121337361e+182	-5.474754946843206e+179
136.0ms	-8.986375601192727e+222	-4.458375153195681e+222

Compiler

Compiled 61 to 47 computations (23% saved)

regimes337.0ms (1.1%)

Counts

32 → 5

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))

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

Calls

3 calls:

144.0ms	x
132.0ms	F
50.0ms	B

Results

Error	Segments	Branch
22.1b	5	`F`
28.4b	3	`B`
23.4b	6	`x`

Compiler

Compiled 302 to 188 computations (37.7% saved)

bsearch623.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
174.0ms	1.139045228443261e-33	1.8572195323504935e-33
198.0ms	-4.3054389017120584e+69	-1.0033849805166836e+65
104.0ms	-1.1354215121337361e+182	-5.474754946843206e+179
146.0ms	-8.986375601192727e+222	-4.458375153195681e+222

Compiler

Compiled 63 to 49 computations (22.2% saved)

regimes492.0ms (1.6%)

Counts

31 → 5

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))

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

Calls

3 calls:

266.0ms	x
104.0ms	B
103.0ms	F

Results

Error	Segments	Branch
22.1b	5	`F`
28.5b	3	`B`
23.4b	6	`x`

Compiler

Compiled 294 to 185 computations (37.1% saved)

bsearch954.0ms (3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
42.0ms	1.139045228443261e-33	1.8572195323504935e-33
104.0ms	-3.4406828795697673e+95	-9.01802829273644e+93
112.0ms	-1.1354215121337361e+182	-5.474754946843206e+179
695.0ms	-8.986375601192727e+222	-4.458375153195681e+222

Compiler

Compiled 63 to 49 computations (22.2% saved)

regimes191.0ms (0.6%)

Counts

30 → 5

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (/.f64 F B) F))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
(exp.f64 (log.f64 (*.f64 1/6 B)))
(sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)

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

Calls

3 calls:

78.0ms	x
59.0ms	F
44.0ms	B

Results

Error	Segments	Branch
27.4b	4	`F`
29.3b	3	`B`
25.4b	5	`x`

Compiler

Compiled 286 to 181 computations (36.7% saved)

bsearch531.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
135.0ms	5.130294021324817e-168	9.82718304888475e-167
159.0ms	8.257683059917508e-213	8.961017525103234e-213
115.0ms	5.962038656840453e-251	7.88481559200815e-251
122.0ms	-1.2631826150616318e-186	-3.134669756562212e-188

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes182.0ms (0.6%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

3 calls:

74.0ms	F
55.0ms	B
47.0ms	x

Results

Error	Segments	Branch
27.5b	4	`F`
29.4b	3	`B`
25.5b	5	`x`

Compiler

Compiled 167 to 111 computations (33.5% saved)

bsearch453.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
109.0ms	5.130294021324817e-168	9.82718304888475e-167
138.0ms	8.257683059917508e-213	8.961017525103234e-213
102.0ms	5.962038656840453e-251	7.88481559200815e-251
103.0ms	-1.2631826150616318e-186	-3.134669756562212e-188

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes247.0ms (0.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

103.0ms	B
90.0ms	F
48.0ms	x

Results

Error	Segments	Branch
41.6b	3	`F`
43.7b	7	`B`
44.0b	6	`x`

Compiler

Compiled 134 to 94 computations (29.9% saved)

bsearch524.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
215.0ms	8.01812905493099e+21	8.433715271125573e+23
308.0ms	-2.2993945271062403e-39	-7.030621444359739e-40

Compiler

Compiled 155 to 126 computations (18.7% saved)

regimes124.0ms (0.4%)

Counts

11 → 5

Calls

Call 1

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

Outputs
(/.f64 1 (sin.f64 B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 -1 B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))

Calls

3 calls:

55.0ms	F
32.0ms	B
31.0ms	x

Results

Error	Segments	Branch
46.3b	3	`F`
45.4b	5	`B`
45.6b	5	`x`

Compiler

Compiled 100 to 69 computations (31% saved)

bsearch857.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
107.0ms	0.017608957232609794	0.05097181937537825
135.0ms	-1.8543788177808908e-241	-3.7435459157282883e-247
506.0ms	-2.502590684351296e-125	-8.749284363556666e-130
108.0ms	-42516597600.47059	-476.19302950813454

Compiler

Compiled 478 to 368 computations (23% saved)

regimes48.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))

Calls

3 calls:

17.0ms	B
16.0ms	x
12.0ms	F

Results

Error	Segments	Branch
49.3b	2	`F`
49.8b	3	`B`
49.9b	3	`x`

Compiler

Compiled 92 to 64 computations (30.4% saved)

bsearch123.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
123.0ms	-4.433309916689351e+150	-2.940364031186651e+149

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes42.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)

Calls

3 calls:

14.0ms	B
13.0ms	x
12.0ms	F

Results

Error	Segments	Branch
49.3b	2	`F`
49.8b	3	`B`
50.1b	3	`x`

Compiler

Compiled 47 to 34 computations (27.7% saved)

bsearch109.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
109.0ms	-4.433309916689351e+150	-2.940364031186651e+149

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes33.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)
(/.f64 (-.f64 1 x) B)

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

Calls

3 calls:

11.0ms	F
11.0ms	B
10.0ms	x

Results

Error	Segments	Branch
49.4b	2	`F`
49.8b	3	`B`
50.1b	3	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch120.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
120.0ms	-2.940364031186651e+149	-1.7758192008997847e+148

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes11.0ms (0%)

Accuracy

Total -4.9b remaining (-8.4%)

Threshold costs -4.9b (-8.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/6 B)
(/.f64 -1 B)

Outputs
(/.f64 -1 B)

Calls

3 calls:

3.0ms	B
3.0ms	F
3.0ms	x

Results

Error	Segments	Branch
58.2b	1	`F`
58.2b	1	`B`
58.2b	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
25×	`*-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	175	1120
1	233	1080
2	280	1080
3	299	1080
4	305	1080
5	306	1080

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 F -100338498051668358824355876894588820947348547813208208094424727552) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 2780529385113647/1208925819614629174706176) (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 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -27267415136972951825567186944) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 2780529385113647/1208925819614629174706176) (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100338498051668358824355876894588820947348547813208208094424727552) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 2780529385113647/1208925819614629174706176) (+.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 -27267415136972951825567186944) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 2780529385113647/1208925819614629174706176) (+.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 -5909697477610615/5575186299632655785383929568162090376495104) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F -3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (+.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 7443676776395529/1329227995784915872903807060280344576) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F 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 -7307508186654515/1461501637330902918203684832716283019655932542976) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 7443676776395529/1329227995784915872903807060280344576) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F 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 -6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -8986375601192727496337912775028038439841705626476993246801082176984350581762207606686649410155811652320178301081677491779014667949500450804348554152897178194722653175073896538016046926948287914914139673191248080053869740032) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -113542151213373608139038169993494963184576663351324784763043540234055146549241230353130850295544157217921610801812758798557677154852981455576721375612346376977186172580502269679632384) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 F -4305438901712058405073020848352713491271985529234897546327033640910848) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -8986375601192727496337912775028038439841705626476993246801082176984350581762207606686649410155811652320178301081677491779014667949500450804348554152897178194722653175073896538016046926948287914914139673191248080053869740032) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -113542151213373608139038169993494963184576663351324784763043540234055146549241230353130850295544157217921610801812758798557677154852981455576721375612346376977186172580502269679632384) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 F -4305438901712058405073020848352713491271985529234897546327033640910848) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 4384504911992709/2923003274661805836407369665432566039311865085952) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))))))
(if (<=.f64 F -8986375601192727496337912775028038439841705626476993246801082176984350581762207606686649410155811652320178301081677491779014667949500450804348554152897178194722653175073896538016046926948287914914139673191248080053869740032) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -113542151213373608139038169993494963184576663351324784763043540234055146549241230353130850295544157217921610801812758798557677154852981455576721375612346376977186172580502269679632384) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 F -344068287956976731267211804957530748443581214723792347462081403628418935365382801450522315325440) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 4384504911992709/2923003274661805836407369665432566039311865085952) (.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))))))
(if (<=.f64 x -3094092115618963/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 x 7689727580147067/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 3129932214601321/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 681223517261581/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 -1 (sin.f64 B)) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))))))
(if (<=.f64 x -3094092115618963/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B)) (if (<=.f64 x 7689727580147067/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 3129932214601321/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 681223517261581/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 -1 (sin.f64 B)) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))))))
(if (<=.f64 F -1724057483474125/766247770432944429179173513575154591809369561091801088) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 260056125636009573482496) (/.f64 (-.f64 1 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 B -5572735480688881/131072) (/.f64 1 (sin.f64 B)) (if (<=.f64 B -4763410263543689/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) (if (<=.f64 B -5982873494373345/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (/.f64 -1 B) (if (<=.f64 B 2537718183397263/144115188075855872) (-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 F -4433309916689351003683168445051474171250995698726472102476901745035473801819155384282767107313999731198103146186305415614726063350298734274793193865216) (-.f64 (.f64 -1/6 B) (/.f64 1 B)) (+.f64 (neg.f64 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B))))
(if (<=.f64 F -4433309916689351003683168445051474171250995698726472102476901745035473801819155384282767107313999731198103146186305415614726063350298734274793193865216) (-.f64 (*.f64 -1/6 B) (/.f64 1 B)) (/.f64 (-.f64 1 x) B))
(if (<=.f64 F -294036403118665105814877678807808480083732674893928170864939788926653391423389310930866508025992580806182309345240325199037456453591225740455525220352) (/.f64 -1 B) (/.f64 (-.f64 1 x) B))
(/.f64 -1 B)
(*.f64 1/6 B)

Outputs
(if (<=.f64 F -100338498051668358824355876894588820947348547813208208094424727552) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 2780529385113647/1208925819614629174706176) (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 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100338498051668358824355876894588820947348547813208208094424727552) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 2780529385113647/1208925819614629174706176) (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 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
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(if (<=.f64 x -3094092115618963/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 1 B)) (if (<=.f64 x 7689727580147067/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 3129932214601321/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 681223517261581/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 -1 (sin.f64 B)) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 1 B))))))
(if (<=.f64 x -3094092115618963/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B)) (if (<=.f64 x 7689727580147067/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 3129932214601321/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 681223517261581/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 -1 (sin.f64 B)) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))))))
(if (<=.f64 x -3094092115618963/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (/.f64 1 B) (/.f64 -1 (/.f64 (tan.f64 B) x))) (if (<=.f64 x 7689727580147067/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 3129932214601321/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 681223517261581/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (/.f64 -1 (sin.f64 B)) (+.f64 (/.f64 1 B) (/.f64 -1 (/.f64 (tan.f64 B) x)))))))
(if (<=.f64 F -1724057483474125/766247770432944429179173513575154591809369561091801088) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 260056125636009573482496) (/.f64 (-.f64 1 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 B -5572735480688881/131072) (/.f64 1 (sin.f64 B)) (if (<=.f64 B -4763410263543689/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) (if (<=.f64 B -5982873494373345/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (/.f64 -1 B) (if (<=.f64 B 2537718183397263/144115188075855872) (-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 B -5572735480688881/131072) (/.f64 1 (sin.f64 B)) (if (<=.f64 B -4763410263543689/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (-.f64 (+.f64 (/.f64 1 B) (.f64 B (+.f64 1/6 (.f64 x 1/3)))) (/.f64 x B)) (if (<=.f64 B -5982873494373345/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (/.f64 -1 B) (if (<=.f64 B 2537718183397263/144115188075855872) (-.f64 (+.f64 (/.f64 1 B) (.f64 B (+.f64 1/6 (.f64 x 1/3)))) (/.f64 x B)) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 F -4433309916689351003683168445051474171250995698726472102476901745035473801819155384282767107313999731198103146186305415614726063350298734274793193865216) (-.f64 (.f64 -1/6 B) (/.f64 1 B)) (+.f64 (neg.f64 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B))))
(if (<=.f64 F -4433309916689351003683168445051474171250995698726472102476901745035473801819155384282767107313999731198103146186305415614726063350298734274793193865216) (-.f64 (.f64 B -1/6) (/.f64 1 B)) (+.f64 (neg.f64 (/.f64 x B)) (+.f64 (/.f64 1 B) (.f64 B 1/6))))
(if (<=.f64 F -4433309916689351003683168445051474171250995698726472102476901745035473801819155384282767107313999731198103146186305415614726063350298734274793193865216) (-.f64 (.f64 B -1/6) (/.f64 1 B)) (-.f64 (+.f64 (/.f64 1 B) (.f64 B 1/6)) (/.f64 x B)))
(if (<=.f64 F -4433309916689351003683168445051474171250995698726472102476901745035473801819155384282767107313999731198103146186305415614726063350298734274793193865216) (-.f64 (*.f64 -1/6 B) (/.f64 1 B)) (/.f64 (-.f64 1 x) B))
(if (<=.f64 F -4433309916689351003683168445051474171250995698726472102476901745035473801819155384282767107313999731198103146186305415614726063350298734274793193865216) (-.f64 (*.f64 B -1/6) (/.f64 1 B)) (/.f64 (-.f64 1 x) B))
(if (<=.f64 F -294036403118665105814877678807808480083732674893928170864939788926653391423389310930866508025992580806182309345240325199037456453591225740455525220352) (/.f64 -1 B) (/.f64 (-.f64 1 x) B))
(/.f64 -1 B)
(*.f64 1/6 B)
(*.f64 B 1/6)

Compiler

Compiled 772 to 497 computations (35.6% saved)

soundness405.0ms (1.3%)

Algorithm

3×	egg-herbie

Rules

824×	`times-frac_binary64`
693×	`distribute-rgt-in_binary64`
685×	`distribute-lft-in_binary64`
639×	`distribute-rgt-neg-in_binary64`
639×	`distribute-rgt-neg-in_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
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
0	350	3726
1	1093	3265
2	4017	3021

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 710 to 517 computations (27.2% saved)

end353.0ms (1.1%)

Compiler: Compiled 718 to 391 computations (45.5% saved)