Details

analyze806.0ms (1.4%)

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)

sample5.3s (9.4%)

Results

2.3s	2283×	body	1024	valid
1.6s	4775×	body	256	valid
782.0ms	1187×	body	512	valid
440.0ms	1139×	body	256	invalid
159.0ms	11×	body	2048	valid

preprocess165.0ms (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)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

12.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
▶	13.0b	(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

▶

13.0b

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

▶

13.0b

(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)

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 F (sin.f64 B))
✓	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	6.7b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
✓	17.6b	(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)

series75.0ms (0.1%)

Counts

4 → 80

Calls

27 calls:

Time	Variable		Point	Expression
37.0ms	F	@	0	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
4.0ms	x	@	0	(*.f64 x (/.f64 1 (tan.f64 B)))
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	(.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))))

rewrite90.0ms (0.2%)

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 → 101

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

simplify149.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

810×	`distribute-rgt-in_binary64`
606×	`times-frac_binary64`
356×	`fma-def_binary64`
234×	`*-commutative_binary64`
224×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	3301
1	1216	2875
2	4138	2627

Stop Event

1×	node limit

Counts

181 → 203

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 F B)
(+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (+.f64 (/.f64 F B) (.f64 -1 (.f64 (pow.f64 B 5) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (*.f64 -1/5040 F))))))))

Outputs
(sqrt.f64 (/.f64 1 (+.f64 (*.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 (*.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 -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)))))))
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(+.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))))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (fma.f64 1/6 (.f64 F (.f64 B (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (.f64 (fma.f64 1/6 (.f64 F -7/360) (.f64 F 1/840)) (pow.f64 B 5))) (.f64 (neg.f64 (.f64 (.f64 F -7/360) (pow.f64 B 3))) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (fma.f64 1/6 (.f64 F B) (/.f64 F B))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (.f64 (fma.f64 F 1/840 (.f64 F -7/2160)) (pow.f64 B 5)) (.f64 (*.f64 F -7/360) (pow.f64 B 3))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (-.f64 (-.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (.f64 (.f64 F -7/360) (pow.f64 B 3))) (.f64 (.f64 F -31/15120) (pow.f64 B 5))))
(.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) (+.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 F (/.f64 (sin.f64 B) (.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)))) (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 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (.f64 1/2 F) (/.f64 (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))))))) (.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 (/.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)) (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 F (/.f64 (sin.f64 B) (.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 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (/.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)))))))))))))
(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 -1/2 (/.f64 (.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (-.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)) (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 F B)
(+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B))
(fma.f64 1/6 (*.f64 F B) (/.f64 F B))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)))
(fma.f64 -1 (.f64 (.f64 F -7/360) (pow.f64 B 3)) (fma.f64 1/6 (*.f64 F B) (/.f64 F B)))
(-.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (.f64 (*.f64 F -7/360) (pow.f64 B 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (+.f64 (/.f64 F B) (.f64 -1 (.f64 (pow.f64 B 5) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (*.f64 -1/5040 F))))))))
(fma.f64 -1 (.f64 (.f64 F -7/360) (pow.f64 B 3)) (+.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (neg.f64 (.f64 (fma.f64 1/6 (.f64 F -7/360) (.f64 F 1/840)) (pow.f64 B 5)))))
(-.f64 (fma.f64 1/6 (.f64 F B) (fma.f64 (neg.f64 (pow.f64 B 5)) (fma.f64 F 1/840 (.f64 F -7/2160)) (/.f64 F B))) (.f64 (.f64 F -7/360) (pow.f64 B 3)))
(-.f64 (-.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (.f64 (.f64 F -7/360) (pow.f64 B 3))) (.f64 (*.f64 F -31/15120) (pow.f64 B 5)))

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 F (sin.f64 B))
✓	0.2b	(/.f64 (neg.f64 x) (tan.f64 B))
✓	6.6b	(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)))
✓	17.6b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

Compiler

Compiled 62 to 29 computations (53.2% saved)

series93.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
40.0ms	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)))
39.0ms	B	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
2.0ms	F	@	0	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
1.0ms	F	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	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)))

rewrite167.0ms (0.3%)

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	48
1	323	44
2	4198	44

Stop Event

1×	node limit

Counts

3 → 257

Calls

Call 1

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

Outputs
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Outputs

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

simplify110.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

824×	`times-frac_binary64`
627×	`distribute-rgt-in_binary64`
621×	`distribute-lft-in_binary64`
361×	`fma-def_binary64`
189×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	3642
1	1044	3188
2	3719	2948

Stop Event

1×	node limit

Counts

341 → 363

Calls

Call 1

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

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 (.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)))))
(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 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 2 (.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (/.f64 (.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 (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 (/.f64 (pow.f64 2 -1/2) x) (/.f64 (pow.f64 x -1/2) x)) (.f64 (pow.f64 (fma.f64 F F 2) 2) 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)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 2 (.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (fma.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)))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 3) (fma.f64 -1/48 (pow.f64 (+.f64 2 (.f64 F F)) 3) (.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 3) -7/384))))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) (+.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)) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 3)) (.f64 (pow.f64 (fma.f64 F F 2) 3) -5/128))) (.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 (/.f64 (pow.f64 2 -1/2) x) (/.f64 (pow.f64 x -1/2) x)) (+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 F F 2) 3) -5/128) x) (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 -2 -1/2) (pow.f64 (/.f64 -1 x) 1/2))
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(-.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))

eval525.0ms (0.9%)

Compiler: Compiled 25552 to 13665 computations (46.5% saved)

prune214.0ms (0.4%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	576	30	606
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	578	30	608

Error

0.0b

Counts

608 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	24.4b	(+.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)))))
	31.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	13.0b	(+.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)))))
	52.0b	(/.f64 1 (sin.f64 B))
	13.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (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)))))
	34.3b	(+.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)))))
▶	40.3b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	34.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
▶	37.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	25.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	13.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	14.3b	(+.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))))
▶	9.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
	13.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))))
	34.9b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	41.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 F (sqrt.f64 (sin.f64 B)))) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	33.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	37.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (exp.f64 (log.f64 (/.f64 F (sin.f64 B)))) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	20.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))) 3)))
	9.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
▶	49.8b	(/.f64 -1 (sin.f64 B))
	34.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	9.5b	(+.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))))
	31.9b	(+.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)))))
	41.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sin.f64 B))) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	31.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	13.0b	(+.f64 (fma.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B)) (neg.f64 (.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
▶	13.0b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	29.6b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))

Compiler

Compiled 1518 to 1122 computations (26.1% saved)

localize84.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.2b	(/.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B))
✓	17.6b	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

Compiler

Compiled 97 to 58 computations (40.2% saved)

series18.0ms (0%)

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)
1.0ms	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))

rewrite72.0ms (0.1%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.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))))))

simplify97.0ms (0.2%)

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))))
(+.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)))))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.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 (+.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))
(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 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (+.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 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (.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)) (pow.f64 F 5)) (sin.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (.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)) (pow.f64 F 5)) (sin.f64 B)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (.f64 -1/2 (/.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)) (+.f64 2 (.f64 2 x))))) (pow.f64 F 7)) (sin.f64 B)))) (.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 -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 (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 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)))
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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)))))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (sin.f64 B))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite50.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

25 → 28

Calls

Call 1

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

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

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
✓	0.2b	(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
✓	0.3b	(/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))
✓	17.2b	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))

Compiler

Compiled 107 to 82 computations (23.4% saved)

series30.0ms (0.1%)

Counts

4 → 86

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	F	@	0	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))
2.0ms	B	@	inf	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
2.0ms	B	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
1.0ms	F	@	0	(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

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

simplify109.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

191 → 230

Calls

Call 1

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

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

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (tan.f64 B) x)
✓	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))
	6.7b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	17.6b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 120 to 67 computations (44.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

116 → 86

Calls

Call 1

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

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

localize92.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	1.9b	(sqrt.f64 (/.f64 F (sin.f64 B)))
✓	2.1b	(.f64 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	17.6b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 138 to 78 computations (43.5% saved)

series11.0ms (0%)

Counts

2 → 28

Calls

15 calls:

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log-prod_binary64`
422×	`fma-def_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
256×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	30
1	392	28
2	4648	28

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-def_binary64`
490×	`times-frac_binary64`
468×	`distribute-rgt-in_binary64`
465×	`distribute-lft-in_binary64`
435×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1735
1	658	1442
2	2294	1277

Stop Event

1×	node limit

Counts

85 → 98

Calls

Call 1

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

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

eval980.0ms (1.7%)

Compiler: Compiled 34256 to 23663 computations (30.9% saved)

prune250.0ms (0.4%)

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	875	39	914
Fresh	16	9	25
Picked	1	0	1
Done	3	1	4
Total	895	49	944

Error

0.0b

Counts

944 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	50.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	34.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	42.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3/2)) 2) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	38.4b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	31.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	34.3b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	52.4b	(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
	53.3b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	40.3b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
▶	13.1b	(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	50.2b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	28.4b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
	51.1b	(neg.f64 (/.f64 x B))
	53.4b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	52.0b	(/.f64 1 (sin.f64 B))
	47.6b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	37.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))
	25.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	50.2b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
▶	31.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
	56.6b	(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
	9.5b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
	8.3b	(+.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)))))))
	50.0b	(/.f64 (-.f64 -1 x) B)
	52.4b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	36.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (sqrt.f64 (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))) 2))
	51.2b	(/.f64 (-.f64 1 x) B)
	34.9b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	49.8b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	53.6b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	14.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.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))))
	52.5b	(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
	34.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	33.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	51.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
▶	8.3b	(+.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)))))))
	51.2b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	52.5b	(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
	31.9b	(+.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)))))
▶	57.1b	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
✓	49.8b	(/.f64 -1 (sin.f64 B))
	29.6b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
	59.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	56.4b	(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
	41.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sin.f64 B))) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	31.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	56.4b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	13.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (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)))))
▶	56.2b	(/.f64 -1 B)

Compiler

Compiled 1865 to 1418 computations (24% saved)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 65 computations (37.5% saved)

series29.0ms (0.1%)

Counts

3 → 68

Calls

21 calls:

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

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
357×	`pow2_binary64`
250×	`pow1/3_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	287	39
2	3533	39

Stop Event

1×	node limit

Counts

3 → 98

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

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

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	2945
1	999	2434
2	3445	2301

Stop Event

1×	node limit

Counts

166 → 188

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))))))
(/.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
(.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))
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(fma.f64 (.f64 (.f64 F (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 1/6 F) B))))
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(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 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 (.f64 F (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 1/6 F) B)))) (.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 (.f64 F x) (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 x) (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 x (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 (.f64 F x) (sin.f64 B))) (.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 x) (sin.f64 B)) (.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 (/.f64 x (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 (.f64 F x) (sin.f64 B))) (.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 (.f64 F x) (sin.f64 B)) (.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 (/.f64 x (sin.f64 B)) F))))
(/.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))

localize4.0ms (0%)

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

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B))
✓	0.0b	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
✓	0.1b	(*.f64 -7/360 (pow.f64 B 3))
✓	0.3b	(*.f64 -1/6 B)

Compiler

Compiled 44 to 34 computations (22.7% saved)

series6.0ms (0%)

Counts

4 → 9

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(*.f64 -7/360 (pow.f64 B 3))
1.0ms	B	@	-inf	(*.f64 -7/360 (pow.f64 B 3))
1.0ms	B	@	inf	(*.f64 -7/360 (pow.f64 B 3))
1.0ms	B	@	inf	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
1.0ms	B	@	inf	(*.f64 -1/6 B)

rewrite127.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`fma-def_binary64`
558×	`log-prod_binary64`
323×	`pow2_binary64`
309×	`fma-neg_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	273	37
2	3611	37

Stop Event

1×	node limit

Counts

4 → 250

Calls

Call 1

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

Outputs
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(pow.f64 B 6)) (.f64 1/36 (.f64 B B)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 B))) (pow.f64 (exp.f64 -7/360) (pow.f64 B 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 -1/6) B) (+.f64 1 (expm1.f64 (.f64 -7/360 (pow.f64 B 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 B))) (+.f64 1 (expm1.f64 (.f64 -7/360 (pow.f64 B 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -7/360 (pow.f64 B 3)))) (pow.f64 (exp.f64 -1/6) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 -7/360) (pow.f64 B 3)) (+.f64 1 (expm1.f64 (.f64 -1/6 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -7/360 (pow.f64 B 3)))) (+.f64 1 (expm1.f64 (.f64 -1/6 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 B (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B -1/6 (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B (.f64 (.f64 B B) -7/360) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/6 B) 1 (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -7/360 (pow.f64 B 3) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B 3) -7/360 (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -7/360 (pow.f64 B 3)) 1 (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -1/6 B) (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 B B) (.f64 B -7/360) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 B (cbrt.f64 -7/360)) (cbrt.f64 (.f64 49/129600 (pow.f64 B 6))) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 49/129600 (pow.f64 B 6))) (.f64 B (cbrt.f64 -7/360)) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) 2) (.f64 (cbrt.f64 B) -1/6) (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -1/6 B)) (pow.f64 (cbrt.f64 (.f64 -1/6 B)) 2) (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/6 B)) 2) (cbrt.f64 (.f64 -1/6 B)) (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 -7/360) (pow.f64 B 3/2)) (.f64 (sqrt.f64 -7/360) (pow.f64 B 3/2)) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 B) (.f64 (sqrt.f64 B) -1/6) (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -1/6 B)) (sqrt.f64 (.f64 -1/6 B)) (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B 3/2) (.f64 (pow.f64 B 3/2) -7/360) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -7/360 B) (.f64 B B) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -7/360 (.f64 B B)) B (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -7/360 (pow.f64 B 3/2)) (pow.f64 B 3/2) (.f64 -1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/6 (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (.f64 -7/360 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/6 (sqrt.f64 B)) (sqrt.f64 B) (.f64 -7/360 (pow.f64 B 3)))))))

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-def_binary64`
653×	`associate-/l*_binary64`
574×	`distribute-rgt-neg-in_binary64`
527×	`distribute-lft-neg-in_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	31	66
2	56	66
3	105	66
4	191	66
5	442	66
6	1409	66
7	2192	66
8	2554	66
9	4692	66
10	6160	66
11	6885	66

Stop Event

1×	node limit

Counts

259 → 258

Calls

Call 1

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

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
	0.1b	(/.f64 (tan.f64 B) x)
✓	0.2b	(/.f64 1 (sin.f64 B))
	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))

Compiler

Compiled 43 to 20 computations (53.5% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite94.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
365×	`fma-def_binary64`
339×	`pow-prod-down_binary64`
287×	`pow2_binary64`
240×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	242	20
2	3489	20

Stop Event

1×	node limit

Counts

2 → 271

Calls

Call 1

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

Outputs

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simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	520
1	157	503
2	432	495
3	1793	491
4	4265	491

Stop Event

1×	node limit

Counts

299 → 291

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

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 (/.f64 1 x) (tan.f64 B)))
✓	0.4b	(*.f64 (/.f64 1 x) (tan.f64 B))
	6.7b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	17.6b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 131 to 80 computations (38.9% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 1 x) (tan.f64 B))
0.0ms	B	@	0	(/.f64 1 (*.f64 (/.f64 1 x) (tan.f64 B)))
0.0ms	x	@	inf	(*.f64 (/.f64 1 x) (tan.f64 B))
0.0ms	B	@	0	(*.f64 (/.f64 1 x) (tan.f64 B))
0.0ms	B	@	inf	(*.f64 (/.f64 1 x) (tan.f64 B))

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`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: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	166	12
2	2084	12

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

((#(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 (pow.f64 (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 (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 (pow.f64 (tan.f64 B) -1) x)))) (#(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 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 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 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))))))))

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

672×	`distribute-rgt-neg-in_binary64`
629×	`associate-l_binary64`
516×	`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	1677	583
4	6721	583

Stop Event

1×	node limit

Counts

108 → 77

Calls

Call 1

Inputs
(/.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 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 (*.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 (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 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)))
(+.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) (fma.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) (fma.f64 2/15 (/.f64 (pow.f64 B 5) 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 (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 (*.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 (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 (/.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 (*.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 (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 (/.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 (*.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 (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 (/.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 (*.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 (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 (/.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 (*.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 (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 (/.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 (*.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 (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 (/.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 B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.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 (pow.f64 B 3) (.f64 x 1/45)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(-.f64 (fma.f64 -1/3 (.f64 B x) (/.f64 x B)) (.f64 x (*.f64 1/45 (pow.f64 B 3))))
(fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (/.f64 x B)))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 x (.f64 B -1/3) (/.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 B x)))))
(-.f64 (-.f64 (fma.f64 -1/3 (.f64 B x) (/.f64 x B)) (.f64 x (.f64 1/45 (pow.f64 B 3)))) (.f64 (pow.f64 B 5) (+.f64 (.f64 x -1/135) (.f64 x 1/105))))
(-.f64 (fma.f64 B (.f64 x -1/3) (/.f64 x B)) (fma.f64 (pow.f64 B 5) (.f64 x 2/945) (.f64 (pow.f64 B 3) (.f64 x 1/45))))
(fma.f64 (pow.f64 B 5) (.f64 x -2/945) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (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 (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 (/.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 (*.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 (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 (/.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 (*.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 (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 (/.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 (*.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 (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 (/.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)))

eval561.0ms (1%)

Compiler: Compiled 28343 to 18269 computations (35.5% saved)

prune235.0ms (0.4%)

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	1045	18	1063
Fresh	13	30	43
Picked	1	0	1
Done	3	2	5
Total	1062	50	1112

Error

Counts

1112 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	50.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	34.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	35.0b	(/.f64 (+.f64 (/.f64 (tan.f64 B) x) (.f64 (sin.f64 B) -1)) (.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
	30.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F)))))
	42.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3/2)) 2) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	38.4b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	31.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	34.3b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	52.4b	(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
	53.3b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
▶	40.3b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
▶	34.2b	(+.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)))))
	51.6b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
▶	51.1b	(neg.f64 (/.f64 x B))
	29.6b	(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
	53.4b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	37.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))
	25.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	50.2b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	31.9b	(+.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)))))
	59.1b	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
	31.1b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	56.6b	(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
	33.1b	(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
	62.7b	(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
	9.5b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
▶	8.3b	(+.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)))))))
	50.0b	(/.f64 (-.f64 -1 x) B)
	51.2b	(/.f64 (-.f64 1 x) B)
	34.4b	(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	52.4b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	34.9b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	49.8b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	53.6b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	31.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) F))))
	52.0b	(/.f64 1 (sin.f64 B))
▶	34.6b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
	34.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	33.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	51.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
	51.2b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	14.3b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (+.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
	36.6b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (cbrt.f64 (pow.f64 (sin.f64 B) -3)))
✓	49.8b	(/.f64 -1 (sin.f64 B))
	59.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	56.4b	(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
	50.2b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	56.4b	(-.f64 (*.f64 B -1/6) (/.f64 1 B))
	22.4b	(+.f64 (neg.f64 (/.f64 x B)) (+.f64 0 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
✓	56.2b	(/.f64 -1 B)

Compiler

Compiled 1701 to 1279 computations (24.8% saved)

localize62.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series20.0ms (0%)

Counts

2 → 56

Calls

18 calls:

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

rewrite68.0ms (0.1%)

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))))))

simplify98.0ms (0.2%)

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))))

localize5.0ms (0%)

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

localize17.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
	0.1b	(/.f64 (tan.f64 B) x)
	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))

Compiler

Compiled 39 to 19 computations (51.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`log-prod_binary64`
357×	`fma-def_binary64`
312×	`pow-prod-down_binary64`
264×	`pow2_binary64`
243×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	224	12
2	3275	12

Stop Event

1×	node limit

Counts

1 → 243

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-+l+_binary64`
719×	`associate--l+_binary64`
514×	`associate-+r+_binary64`
407×	`fma-neg_binary64`
362×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	424
1	126	402
2	344	396
3	1345	392
4	4752	392

Stop Event

1×	node limit

Counts

267 → 256

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)) (+.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 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 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 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 1 B)
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 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 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 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 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

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

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
✓	0.2b	(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
✓	0.3b	(/.f64 1 (fma.f64 F F 2))
✓	17.2b	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))

Compiler

Compiled 66 to 44 computations (33.3% saved)

series17.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	F	@	inf	(/.f64 1 (fma.f64 F F 2))
1.0ms	F	@	0	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
1.0ms	B	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
1.0ms	F	@	0	(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log-prod_binary64`
390×	`pow-prod-down_binary64`
328×	`pow2_binary64`
227×	`pow1/3_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	291	41
2	3805	41

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify112.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

504×	`associate-/l/_binary64`
401×	`associate-/r/_binary64`
395×	`sub-neg_binary64`
364×	`fma-def_binary64`
278×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1645
1	456	1567
2	1324	1441
3	4738	1373

Stop Event

1×	node limit

Counts

202 → 217

Calls

Call 1

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

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

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 98 to 64 computations (34.7% saved)

series14.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary64`
349×	`pow-prod-down_binary64`
309×	`pow2_binary64`
217×	`pow1/3_binary64`
214×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	236	27
2	3141	27

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-def_binary64`
452×	`fma-neg_binary64`
425×	`associate-r_binary64`
388×	`associate-l_binary64`
383×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1136
1	357	1118
2	1219	1007
3	5983	1001

Stop Event

1×	node limit

Counts

114 → 106

Calls

Call 1

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

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

eval458.0ms (0.8%)

Compiler: Compiled 24871 to 16014 computations (35.6% saved)

prune250.0ms (0.4%)

Pruning

60 alts after pruning (56 fresh and 4 done)

	Pruned	Kept	Total
New	961	31	992
Fresh	18	25	43
Picked	1	0	1
Done	2	4	6
Total	982	60	1042

Error

Counts

1042 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	32.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B)))))
	35.0b	(/.f64 (+.f64 (/.f64 (tan.f64 B) x) (.f64 (sin.f64 B) -1)) (.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
	42.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3/2)) 2) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	57.7b	(/.f64 1 B)
	31.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
	34.6b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
	51.6b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
	53.4b	(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
	52.3b	(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
✓	51.1b	(neg.f64 (/.f64 x B))
	58.3b	(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
	29.6b	(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
	34.6b	(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
	53.4b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	53.2b	(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
	49.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
	37.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))
	40.2b	(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
	31.9b	(+.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)))))
	59.1b	(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
	31.1b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	56.6b	(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
	33.1b	(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
	62.7b	(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
	46.5b	(+.f64 (neg.f64 (/.f64 x B)) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
	53.3b	(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
	9.5b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
	58.2b	(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
	51.2b	(/.f64 (-.f64 1 x) B)
	34.4b	(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	34.3b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (+.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 2 x 2))))))
	34.9b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	49.8b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	37.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
	52.0b	(/.f64 1 (sin.f64 B))
✓	34.6b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
	51.3b	(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
	33.1b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	53.4b	(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
	51.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
	34.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	50.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	32.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))))
	30.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
✓	49.8b	(/.f64 -1 (sin.f64 B))
	53.2b	(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
	36.6b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (cbrt.f64 (pow.f64 (sin.f64 B) -3)))
	52.1b	(+.f64 (/.f64 1 (.f64 (.f64 F F) B)) (/.f64 (-.f64 -1 x) B))
	49.4b	(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
	59.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	56.4b	(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
	34.6b	(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
	22.4b	(+.f64 (neg.f64 (/.f64 x B)) (+.f64 0 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
	56.7b	(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
	34.2b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
	50.0b	(/.f64 (-.f64 -1 x) B)
	33.4b	(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
✓	56.2b	(/.f64 -1 B)
	51.2b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	56.4b	(-.f64 (*.f64 B -1/6) (/.f64 1 B))

Compiler

Compiled 953 to 719 computations (24.6% saved)

regimes1.2s (2.1%)

Counts

120 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (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 (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 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
(-.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 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 x (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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (cbrt.f64 (pow.f64 (sin.f64 B) -3)))
(/.f64 (+.f64 (/.f64 (tan.f64 B) x) (.f64 (sin.f64 B) -1)) (.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(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 x B)) (+.f64 0 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
(+.f64 (neg.f64 (/.f64 x 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 0 (+.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (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 (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 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
(+.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 (.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 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (+.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (exp.f64 (log.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 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (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 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (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)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.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)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3/2)) 2) (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 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 F (sqrt.f64 (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)))) (pow.f64 (sqrt.f64 (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))) 2))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))) 3)))
(+.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 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))
(+.f64 (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))))
(+.f64 (fma.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B)) (neg.f64 (.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))

Outputs

(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.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:

355.0ms	B
308.0ms	(+.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)))))
267.0ms	F
158.0ms	x

Results

Error	Segments	Branch
0.2b	3	`F`
5.9b	4	`B`
0.5b	2	`x`
1.3b	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 2052 to 1211 computations (41% saved)

bsearch1.0s (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
540.0ms	634662.5995063038	91173466636561.08
486.0ms	-4.6357038477750965e+25	-2.0185441687047929e+24

Compiler

Compiled 633 to 465 computations (26.5% saved)

regimes1.5s (2.7%)

Counts

111 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (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 (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 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
(-.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 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 x (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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (cbrt.f64 (pow.f64 (sin.f64 B) -3)))
(/.f64 (+.f64 (/.f64 (tan.f64 B) x) (.f64 (sin.f64 B) -1)) (.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(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 x B)) (+.f64 0 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
(+.f64 (neg.f64 (/.f64 x 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 0 (+.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (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 (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 1 (/.f64 (tan.f64 B) x))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
(+.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 (.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 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (+.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (exp.f64 (log.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 (pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2) (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 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (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)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.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 1 (/.f64 (tan.f64 B) x))) (/.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:

525.0ms	B
398.0ms	(+.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)))))
256.0ms	F
229.0ms	x

Results

Error	Segments	Branch
0.2b	3	`F`
5.9b	4	`B`
0.5b	2	`x`
1.3b	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 1785 to 1060 computations (40.6% saved)

bsearch1.1s (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
565.0ms	634662.5995063038	91173466636561.08
569.0ms	-4.6357038477750965e+25	-2.0185441687047929e+24

Compiler

Compiled 729 to 561 computations (23% saved)

regimes926.0ms (1.6%)

Counts

86 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (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 (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 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
(-.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 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 x (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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 1 (.f64 (/.f64 1 x) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))

Outputs

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

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

Calls

3 calls:

391.0ms	B
255.0ms	F
243.0ms	x

Results

Error	Segments	Branch
0.7b	3	`F`
15.4b	5	`B`
15.5b	3	`x`

Compiler

Compiled 1160 to 693 computations (40.3% saved)

bsearch940.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
534.0ms	2.466626570828841e-5	634662.5995063038
405.0ms	-1.7896123972052997	-0.006788126916378799

Compiler

Compiled 818 to 636 computations (22.2% saved)

regimes1.6s (2.8%)

Counts

81 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (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 (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 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
(-.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 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))))

Outputs

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

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))))

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

Calls

3 calls:

846.0ms	F
422.0ms	B
270.0ms	x

Results

Error	Segments	Branch
0.7b	3	`F`
15.4b	5	`B`
15.5b	3	`x`

Compiler

Compiled 1055 to 628 computations (40.5% saved)

bsearch675.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
375.0ms	2.466626570828841e-5	634662.5995063038
299.0ms	-1.7896123972052997	-0.006788126916378799

Compiler

Compiled 782 to 618 computations (21% saved)

regimes691.0ms (1.2%)

Counts

80 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (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 (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 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
(-.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 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B)))))

Outputs

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

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (*.f64 (sqrt.f64 2) (sin.f64 B)))))

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

Calls

3 calls:

317.0ms	B
178.0ms	x
164.0ms	F

Results

Error	Segments	Branch
0.7b	3	`F`
15.4b	5	`B`
15.5b	3	`x`

Compiler

Compiled 1038 to 617 computations (40.6% saved)

bsearch883.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
578.0ms	2.466626570828841e-5	634662.5995063038
304.0ms	-1.7896123972052997	-0.006788126916378799

Compiler

Compiled 782 to 618 computations (21% saved)

regimes542.0ms (1%)

Counts

79 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (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 (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 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 B))))
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) 2)
(-.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 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)

Outputs

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

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

Calls

3 calls:

193.0ms	x
162.0ms	F
153.0ms	B

Results

Error	Segments	Branch
4.8b	3	`F`
16.8b	3	`B`
15.5b	3	`x`

Compiler

Compiled 1021 to 606 computations (40.6% saved)

bsearch1.3s (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
492.0ms	2.466626570828841e-5	634662.5995063038
760.0ms	-2.0185441687047929e+24	-6280005495209124000.0

Compiler

Compiled 990 to 762 computations (23% saved)

regimes577.0ms (1%)

Counts

73 → 6

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (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 (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 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 1 (/.f64 (tan.f64 B) x))) (/.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 (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))

Calls

3 calls:

283.0ms	F
135.0ms	B
130.0ms	x

Results

Error	Segments	Branch
3.9b	6	`F`
18.6b	3	`B`
15.5b	3	`x`

Compiler

Compiled 942 to 562 computations (40.3% saved)

bsearch1.5s (2.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
694.0ms	2.466626570828841e-5	634662.5995063038
71.0ms	-1.920005671117847e-55	-3.368830286394303e-66
67.0ms	-3.3391091194073492e-40	-2.4839377385336145e-46
68.0ms	-6.697789570597405e-13	-1.340250476172356e-14
578.0ms	-4.6357038477750965e+25	-2.0185441687047929e+24

Compiler

Compiled 968 to 748 computations (22.7% saved)

regimes949.0ms (1.7%)

Counts

71 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (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)

Outputs

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

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (*.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))

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

Calls

3 calls:

325.0ms	x
318.0ms	F
262.0ms	B

Results

Error	Segments	Branch
5.0b	3	`F`
18.6b	3	`B`
23.4b	5	`x`

Compiler

Compiled 894 to 538 computations (39.8% saved)

bsearch790.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
390.0ms	2.466626570828841e-5	634662.5995063038
399.0ms	-5.049670982815264e-10	-4.377882149216051e-11

Compiler

Compiled 756 to 590 computations (22% saved)

regimes916.0ms (1.6%)

Counts

69 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x 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 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))

Outputs

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

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (*.f64 (sqrt.f64 (+.f64 (*.f64 2 x) 2)) B))))

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

Calls

3 calls:

397.0ms	x
334.0ms	B
159.0ms	F

Results

Error	Segments	Branch
5.0b	3	`F`
18.6b	3	`B`
23.4b	5	`x`

Compiler

Compiled 854 to 512 computations (40% saved)

bsearch841.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
489.0ms	2.466626570828841e-5	634662.5995063038
351.0ms	-5.049670982815264e-10	-4.377882149216051e-11

Compiler

Compiled 646 to 510 computations (21.1% saved)

regimes1.1s (1.9%)

Counts

68 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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 (neg.f64 (/.f64 x B)) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))

Outputs
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

429.0ms	x
299.0ms	B
283.0ms	F

Results

Error	Segments	Branch
6.9b	5	`F`
18.6b	3	`B`
23.4b	5	`x`

Compiler

Compiled 834 to 498 computations (40.3% saved)

bsearch1.9s (3.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
599.0ms	5.527703124839172e-20	4.175530345365929e-12
380.0ms	2.5664198753122735e-190	6.3794005007807295e-189
495.0ms	-3.5319489459032413e-221	-1.5734418075206178e-232
429.0ms	-1.7896123972052997	-0.006788126916378799

Compiler

Compiled 1233 to 953 computations (22.7% saved)

regimes569.0ms (1%)

Counts

67 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (/.f64 -1 (.f64 (.f64 F F) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 1 (.f64 (.f64 F F) 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 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))
(*.f64 B (fma.f64 B (/.f64 B -360/7) -1/6))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))
(/.f64 (+.f64 (.f64 (sqrt.f64 1/2) F) (.f64 -1 x)) B)
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(-.f64 (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (tan.f64 B) x)) 1))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(/.f64 (+.f64 (+.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 -3/2 (pow.f64 F 4)))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 -1 (.f64 F F))) (/.f64 3/2 (pow.f64 F 4))) (.f64 -1 x)) B)
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 (*.f64 F F) B))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))) (.f64 -1 x)) B)
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(/.f64 (+.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 -1 (*.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 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 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)))))

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

196.0ms	F
190.0ms	B
156.0ms	x

Results

Error	Segments	Branch
9.9b	3	`F`
18.6b	3	`B`
25.3b	3	`x`

Compiler

Compiled 816 to 488 computations (40.2% saved)

bsearch965.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
445.0ms	8.905237585885191e-25	1.0490232500591414e-22
519.0ms	-5.050008020059829e-26	-2.1615766995085716e-28

Compiler

Compiled 393 to 301 computations (23.4% saved)

regimes621.0ms (1.1%)

Counts

49 → 4

Calls

Call 1

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

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

291.0ms	x
153.0ms	B
127.0ms	F

Results

Error	Segments	Branch
14.1b	4	`F`
27.3b	4	`B`
24.7b	9	`x`

Compiler

Compiled 565 to 354 computations (37.3% saved)

bsearch631.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
259.0ms	8.905237585885191e-25	1.0490232500591414e-22
269.0ms	-6.697789570597405e-13	-1.340250476172356e-14
103.0ms	-4.329588358786261e+98	-6.999888194501204e+96

Compiler

Compiled 351 to 273 computations (22.2% saved)

regimes582.0ms (1%)

Counts

48 → 5

Calls

Call 1

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

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

Calls

3 calls:

249.0ms	x
172.0ms	F
144.0ms	B

Results

Error	Segments	Branch
18.7b	5	`F`
29.8b	4	`B`
24.5b	9	`x`

Compiler

Compiled 556 to 351 computations (36.9% saved)

bsearch977.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
116.0ms	1.2966950821880948e+96	1.5253076704055336e+96
414.0ms	4.175530345365929e-12	2.466626570828841e-5
333.0ms	-6.697789570597405e-13	-1.340250476172356e-14
113.0ms	-4.329588358786261e+98	-6.999888194501204e+96

Compiler

Compiled 356 to 284 computations (20.2% saved)

regimes792.0ms (1.4%)

Counts

47 → 5

Calls

Call 1

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

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

Calls

3 calls:

334.0ms	x
261.0ms	B
165.0ms	F

Results

Error	Segments	Branch
18.7b	5	`F`
29.8b	4	`B`
24.5b	9	`x`

Compiler

Compiled 548 to 348 computations (36.5% saved)

bsearch931.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
114.0ms	1.2966950821880948e+96	1.5253076704055336e+96
445.0ms	4.175530345365929e-12	2.466626570828841e-5
267.0ms	-6.697789570597405e-13	-1.340250476172356e-14
105.0ms	-4.329588358786261e+98	-6.999888194501204e+96

Compiler

Compiled 356 to 284 computations (20.2% saved)

regimes521.0ms (0.9%)

Counts

46 → 5

Calls

Call 1

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

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

Calls

3 calls:

243.0ms	x
155.0ms	F
103.0ms	B

Results

Error	Segments	Branch
22.0b	5	`F`
30.8b	3	`B`
24.5b	9	`x`

Compiler

Compiled 540 to 344 computations (36.3% saved)

bsearch823.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
127.0ms	1.2966950821880948e+96	1.5253076704055336e+96
372.0ms	2.466626570828841e-5	634662.5995063038
222.0ms	-5.049670982815264e-10	-4.377882149216051e-11
101.0ms	-4.329588358786261e+98	-6.999888194501204e+96

Compiler

Compiled 516 to 412 computations (20.2% saved)

regimes402.0ms (0.7%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

3 calls:

186.0ms	x
119.0ms	F
82.0ms	B

Results

Error	Segments	Branch
22.0b	5	`F`
30.8b	3	`B`
24.5b	9	`x`

Compiler

Compiled 380 to 237 computations (37.6% saved)

bsearch853.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
102.0ms	1.2966950821880948e+96	1.5253076704055336e+96
434.0ms	2.466626570828841e-5	634662.5995063038
219.0ms	-5.049670982815264e-10	-4.377882149216051e-11
98.0ms	-4.329588358786261e+98	-6.999888194501204e+96

Compiler

Compiled 388 to 300 computations (22.7% saved)

regimes471.0ms (0.8%)

Counts

30 → 5

Calls

Call 1

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

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

Calls

3 calls:

214.0ms	x
141.0ms	F
107.0ms	B

Results

Error	Segments	Branch
22.0b	5	`F`
30.8b	3	`B`
24.5b	9	`x`

Compiler

Compiled 278 to 170 computations (38.8% saved)

bsearch1.1s (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
144.0ms	1.2966950821880948e+96	1.5253076704055336e+96
629.0ms	2.466626570828841e-5	634662.5995063038
276.0ms	-5.049670982815264e-10	-4.377882149216051e-11
99.0ms	-4.329588358786261e+98	-6.999888194501204e+96

Compiler

Compiled 388 to 316 computations (18.6% saved)

regimes341.0ms (0.6%)

Counts

28 → 7

Calls

Call 1

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

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

Calls

3 calls:

174.0ms	F
113.0ms	x
45.0ms	B

Results

Error	Segments	Branch
22.3b	7	`F`
31.8b	3	`B`
27.1b	5	`x`

Compiler

Compiled 258 to 158 computations (38.8% saved)

bsearch2.3s (4.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
104.0ms	1.2966950821880948e+96	1.5253076704055336e+96
633.0ms	5825084756893861000.0	3.242234295299169e+25
367.0ms	2.3704759444654036e-258	5.3387541998220034e-250
392.0ms	-7.149469646253122e-163	-9.724977129960931e-181
695.0ms	-2.0185441687047929e+24	-6280005495209124000.0
105.0ms	-4.329588358786261e+98	-6.999888194501204e+96

Compiler

Compiled 795 to 620 computations (22% saved)

regimes271.0ms (0.5%)

Counts

27 → 7

Calls

Call 1

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

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

Calls

3 calls:

146.0ms	F
71.0ms	x
46.0ms	B

Results

Error	Segments	Branch
25.5b	7	`F`
32.3b	3	`B`
27.3b	5	`x`

Compiler

Compiled 249 to 154 computations (38.2% saved)

bsearch2.5s (4.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
157.0ms	1.2966950821880948e+96	1.5253076704055336e+96
703.0ms	5825084756893861000.0	3.242234295299169e+25
594.0ms	2.3704759444654036e-258	5.3387541998220034e-250
614.0ms	-7.149469646253122e-163	-9.724977129960931e-181
340.0ms	-6.697789570597405e-13	-1.340250476172356e-14
107.0ms	-7.002236732383933e+149	-3.7717680321653863e+149

Compiler

Compiled 736 to 569 computations (22.7% saved)

regimes171.0ms (0.3%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

79.0ms	x
49.0ms	B
36.0ms	F

Results

Error	Segments	Branch
33.0b	3	`F`
42.0b	4	`B`
42.0b	5	`x`

Compiler

Compiled 217 to 135 computations (37.8% saved)

bsearch567.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
351.0ms	3.4204873257108275e-22	5.527703124839172e-20
216.0ms	-1.0121991610641295e-25	-5.669400785020239e-26

Compiler

Compiled 212 to 171 computations (19.3% saved)

regimes147.0ms (0.3%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	B
42.0ms	x
38.0ms	F

Results

Error	Segments	Branch
37.0b	3	`F`
43.2b	4	`B`
45.3b	3	`x`

Compiler

Compiled 213 to 133 computations (37.6% saved)

bsearch774.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
315.0ms	3.4204873257108275e-22	5.527703124839172e-20
459.0ms	-3.368830286394303e-66	-1.6851585983400548e-73

Compiler

Compiled 301 to 236 computations (21.6% saved)

regimes134.0ms (0.2%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

82.0ms	B
31.0ms	F
15.0ms	x

Results

Error	Segments	Branch
40.6b	3	`F`
49.0b	2	`B`
50.0b	1	`x`

Compiler

Compiled 205 to 128 computations (37.6% saved)

bsearch845.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
473.0ms	4.667076149897006e-38	5.463146916894556e-26
371.0ms	-3.368830286394303e-66	-1.6851585983400548e-73

Compiler

Compiled 439 to 325 computations (26% saved)

regimes104.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	x
23.0ms	F
23.0ms	B

Results

Error	Segments	Branch
40.6b	3	`F`
48.5b	3	`B`
50.0b	1	`x`

Compiler

Compiled 121 to 80 computations (33.9% saved)

bsearch702.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
278.0ms	2.7744659475993623e-40	4.667076149897006e-38
424.0ms	-3.368830286394303e-66	-1.6851585983400548e-73

Compiler

Compiled 308 to 236 computations (23.4% saved)

regimes32.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	F
6.0ms	x
5.0ms	B

Results

Error	Segments	Branch
42.9b	3	`F`
50.0b	1	`B`
50.0b	1	`x`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch798.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
407.0ms	5.527703124839172e-20	4.175530345365929e-12
391.0ms	-3.368830286394303e-66	-1.6851585983400548e-73

Compiler

Compiled 324 to 253 computations (21.9% saved)

regimes73.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	B
17.0ms	x
15.0ms	F

Results

Error	Segments	Branch
45.5b	3	`F`
49.9b	3	`B`
48.3b	5	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch900.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
471.0ms	5.527703124839172e-20	4.175530345365929e-12
429.0ms	-9.58936805605626e-21	-1.6344972016928249e-24

Compiler

Compiled 291 to 232 computations (20.3% saved)

regimes16.0ms (0%)

Accuracy

Total -11.4b remaining (-22.1%)

Threshold costs -11.4b (-22.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	F
4.0ms	B
3.0ms	x

Results

Error	Segments	Branch
51.6b	2	`F`
56.2b	1	`B`
56.2b	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch305.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
305.0ms	6.3794005007807295e-189	3.741546003337985e-187

Compiler

Compiled 134 to 112 computations (16.4% saved)

simplify114.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative_binary64`
33×	`*-commutative_binary64`
22×	`sub-neg_binary64`
17×	`unsub-neg_binary64`
17×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	1895
1	317	1851
2	379	1835
3	412	1835
4	425	1835
5	429	1835
6	430	1835

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 F -2050000000000000046137344) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 650000) (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 -2050000000000000046137344) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 650000) (+.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 -125437859701224944/18446744073709551616) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 7378697629483821/295147905179352825856) (+.f64 (neg.f64 (/.f64 x (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 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))))
(if (<=.f64 F -125437859701224944/18446744073709551616) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 8106479329266893/4503599627370496) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))))
(if (<=.f64 F -125437859701224944/18446744073709551616) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 8106479329266893/4503599627370496) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B))))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))))
(if (<=.f64 F -6400000000000000000) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 7378697629483821/295147905179352825856) (+.f64 (neg.f64 (.f64 x (/.f64 1 (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 (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))))
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(if (<=.f64 F -432958835878626071927764981234083793750137370969165921057392998272684989399954006855677182820220928) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))) (if (<=.f64 F -2139160387885137/158456325028528675187087900672) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 1770887431076117/73786976294838206464) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (if (<=.f64 F 1296695082188094821722990403654811790688979824064084264063116444341776831263701723800442069057536) (/.f64 1 (sin.f64 B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))))
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(if (<=.f64 F -700223673238393338786235011785562979675704439870290116591691313280694426820861590952292979196092741661840773277547843982890028820274908955259286061056) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 F -2139160387885137/158456325028528675187087900672) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -583992399055641/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1298336639719011/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (neg.f64 (/.f64 x B)) (if (<=.f64 F 31999999999999999463129088) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1296695082188094821722990403654811790688979824064084264063116444341776831263701723800442069057536) (/.f64 1 (sin.f64 B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))))))
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(/.f64 1 B)

Outputs
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(if (<=.f64 F -2050000000000000046137344) (+.f64 (/.f64 -1 (/.f64 (tan.f64 B) x)) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 650000) (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 -2050000000000000046137344) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 650000) (+.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)))))
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(if (<=.f64 F -125437859701224944/18446744073709551616) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 8106479329266893/4503599627370496) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B))))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (sin.f64 B)))))
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(if (<=.f64 F -8983454486712775/5444517870735015415413993718908291383296) (/.f64 -1 B) (if (<=.f64 F 316912650057057344/79228162514264337593543950336) (neg.f64 (/.f64 x B)) (/.f64 1 B)))
(if (<=.f64 F -8983454486712775/5444517870735015415413993718908291383296) (/.f64 -1 B) (if (<=.f64 F 4951760157141521/1237940039285380274899124224) (/.f64 (neg.f64 x) B) (/.f64 1 B)))
(if (<=.f64 F 7250347299772867/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (/.f64 -1 B) (/.f64 1 B))
(/.f64 1 B)

Compiler

Compiled 1293 to 831 computations (35.7% saved)

soundness200.0ms (0.4%)

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

Compiler

Compiled 316 to 232 computations (26.6% saved)

end573.0ms (1%)

Compiler: Compiled 1215 to 650 computations (46.5% saved)