Details

analyze866.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.6s (10.1%)

Results

2.1s	2316×	body	1024	valid
1.5s	4752×	body	256	valid
651.0ms	1181×	body	512	valid
268.0ms	1145×	body	256	invalid
9.0ms	7×	body	2048	valid
2.0ms	3×	body	1024	invalid

preprocess86.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

simplify76.0ms (0.2%)

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

12.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.7b	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
▶	12.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))

Status

Error

Program

▶

12.7b

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

▶

12.8b

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

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (tan.f64 B))
✓	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	5.9b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
✓	16.8b	(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)

series42.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

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

rewrite96.0ms (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 → 92

Calls

Call 1

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

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

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

180 → 195

Calls

Call 1

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

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 F (sin.f64 B))
✓	0.1b	(/.f64 (neg.f64 x) (tan.f64 B))
✓	5.8b	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
✓	16.8b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

Compiler

Compiled 62 to 29 computations (53.2% saved)

series59.0ms (0.1%)

Counts

4 → 88

Calls

27 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)))
2.0ms	B	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
2.0ms	F	@	0	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
1.0ms	F	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	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)))

rewrite157.0ms (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	54
1	323	50
2	4198	50

Stop Event

1×	node limit

Counts

4 → 294

Calls

Call 1

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

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

simplify148.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

382 → 407

Calls

Call 1

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

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

eval474.0ms (1%)

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

prune187.0ms (0.4%)

Pruning

27 alts after pruning (27 fresh and 0 done)

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

Error

0.0b

Counts

604 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	36.1b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
▶	27.9b	(+.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)))))
	27.8b	(+.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))))
	35.8b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
▶	35.7b	(+.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	12.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	31.0b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	12.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	12.7b	(fma.f64 (*.f64 (/.f64 1 (sin.f64 B)) F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	12.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))
	37.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	35.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	12.9b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 F) 2) (.f64 (cbrt.f64 F) (/.f64 1 (sin.f64 B)))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	33.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	33.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	12.6b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
	20.7b	(+.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)))
▶	11.6b	(+.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)))))
	52.3b	(/.f64 1 (sin.f64 B))
	11.6b	(+.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))))
	39.0b	(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.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)))))
▶	41.5b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	37.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4)) 2))
	32.9b	(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
▶	51.9b	(/.f64 -1 (sin.f64 B))
	12.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))))
	33.9b	(+.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)))))

Compiler

Compiled 1274 to 944 computations (25.9% saved)

localize63.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.3b	(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
✓	0.4b	(/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))
✓	16.8b	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

Compiler

Compiled 115 to 70 computations (39.1% saved)

series27.0ms (0.1%)

Counts

3 → 68

Calls

21 calls:

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

rewrite95.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
336×	`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	3108	45

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

767×	`distribute-rgt-in_binary64`
762×	`distribute-lft-in_binary64`
359×	`fma-def_binary64`
254×	`*-commutative_binary64`
237×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	3402
1	1253	2996
2	4115	2758

Stop Event

1×	node limit

Counts

160 → 208

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 B F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(+.f64 (.f64 (/.f64 B F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 B 3) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))
(+.f64 (.f64 (/.f64 B F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (+.f64 (.f64 1/120 (.f64 (/.f64 (pow.f64 B 5) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 B 3) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(+.f64 (.f64 (/.f64 B F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (+.f64 (.f64 -1/5040 (.f64 (/.f64 (pow.f64 B 7) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/120 (.f64 (/.f64 (pow.f64 B 5) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 B 3) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (sin.f64 B) F))
(+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (sin.f64 B) F)) (.f64 1/2 (.f64 (.f64 (sin.f64 B) F) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 3)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (sin.f64 B) F)) (.f64 1/2 (.f64 (.f64 (sin.f64 B) F) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 3)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 5)) (+.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))) (/.f64 (sin.f64 B) F)) (.f64 1/2 (.f64 (.f64 (sin.f64 B) F) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(sin.f64 B)
(+.f64 (sin.f64 B) (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2)) (pow.f64 F 2))))
(+.f64 (sin.f64 B) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 4))) (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) (pow.f64 F 2)))))
(+.f64 (sin.f64 B) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) (pow.f64 F 2))) (.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 6))))))
(*.f64 -1 (sin.f64 B))
(+.f64 (.f64 -1 (sin.f64 B)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) (pow.f64 F 2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 4))) (+.f64 (.f64 -1 (sin.f64 B)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) (pow.f64 F 2)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))) (pow.f64 F 6))) (+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 4))) (+.f64 (.f64 -1 (sin.f64 B)) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) (pow.f64 F 2))))))
(*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))) (.f64 (/.f64 (*.f64 (sin.f64 B) x) F) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 x 2)) F) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))) (.f64 (/.f64 (.f64 (sin.f64 B) x) F) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 x 3)) F) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 x 2)) F) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))) (.f64 (/.f64 (*.f64 (sin.f64 B) x) F) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 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 (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 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7)))) (pow.f64 F 6))))
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1
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-1
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(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) -1)
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(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
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(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
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(.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 F (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))))) (fma.f64 1/2 (.f64 F (.f64 (.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 F (.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (.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)))) 1/2))) (.f64 F (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
(+.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 F (.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) (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 F (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))))) (fma.f64 1/2 (.f64 F (.f64 (.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 (sqrt.f64 (+.f64 2 (.f64 F F))) (.f64 (.f64 F (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))))))) (.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 -1/2 (.f64 F (.f64 (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 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 F (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (.f64 F (+.f64 (.f64 1/2 (.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 (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
✓	0.1b	(/.f64 -1 (sin.f64 B))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

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))))))))

simplify83.0ms (0.2%)

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))))

localize109.0ms (0.2%)

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)
✓	0.3b	(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
✓	0.4b	(/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))
✓	16.5b	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))

Compiler

Compiled 107 to 82 computations (23.4% saved)

series25.0ms (0.1%)

Counts

4 → 86

Calls

27 calls:

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

rewrite109.0ms (0.2%)

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))))))

simplify122.0ms (0.3%)

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)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 90 to 57 computations (36.7% saved)

series50.0ms (0.1%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	x	@	0	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	F	@	0	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	x	@	inf	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	x	@	-inf	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	B	@	0	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))

rewrite65.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

53 → 59

Calls

Call 1

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

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

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 x (tan.f64 B)) 3)
	5.9b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	16.8b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
✓	41.9b	(cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))

Compiler

Compiled 130 to 73 computations (43.8% saved)

series13.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))
2.0ms	B	@	-inf	(cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))
2.0ms	B	@	0	(pow.f64 (/.f64 x (tan.f64 B)) 3)
1.0ms	B	@	inf	(pow.f64 (/.f64 x (tan.f64 B)) 3)
1.0ms	B	@	-inf	(pow.f64 (/.f64 x (tan.f64 B)) 3)

rewrite171.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`pow1_binary64`
725×	`add-log-exp_binary64`
725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	177	15
2	2004	15

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

643×	`fma-def_binary64`
529×	`fma-neg_binary64`
416×	`associate-l_binary64`
408×	`associate-r_binary64`
314×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1029
1	270	967
2	1062	894
3	6579	818

Stop Event

1×	node limit

Counts

127 → 100

Calls

Call 1

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

Outputs
(/.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 -1 (/.f64 (.f64 (cos.f64 B) (*.f64 (cbrt.f64 -1) x)) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (*.f64 x (cbrt.f64 -1)))))
(/.f64 (neg.f64 (.f64 x (.f64 (cos.f64 B) (cbrt.f64 -1)))) (sin.f64 B))
(/.f64 (.f64 (.f64 (cos.f64 B) x) (neg.f64 (cbrt.f64 -1))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) (*.f64 (cbrt.f64 -1) x)) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (*.f64 x (cbrt.f64 -1)))))
(/.f64 (neg.f64 (.f64 x (.f64 (cos.f64 B) (cbrt.f64 -1)))) (sin.f64 B))
(/.f64 (.f64 (.f64 (cos.f64 B) x) (neg.f64 (cbrt.f64 -1))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) (*.f64 (cbrt.f64 -1) x)) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (*.f64 x (cbrt.f64 -1)))))
(/.f64 (neg.f64 (.f64 x (.f64 (cos.f64 B) (cbrt.f64 -1)))) (sin.f64 B))
(/.f64 (.f64 (.f64 (cos.f64 B) x) (neg.f64 (cbrt.f64 -1))) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) (*.f64 (cbrt.f64 -1) x)) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (*.f64 x (cbrt.f64 -1)))))
(/.f64 (neg.f64 (.f64 x (.f64 (cos.f64 B) (cbrt.f64 -1)))) (sin.f64 B))
(/.f64 (.f64 (.f64 (cos.f64 B) x) (neg.f64 (cbrt.f64 -1))) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 (.f64 -1/3 B) x))
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(fma.f64 B (*.f64 x -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 (.f64 -1/3 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)))
(+.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 -1/3 (.f64 x 1/45) (.f64 x -2/45)))) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 (*.f64 -1/3 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 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 B (*.f64 x -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 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (pow.f64 x 3) (pow.f64 B 3))
(pow.f64 (/.f64 x B) 3)
(+.f64 (.f64 -2/3 (/.f64 (pow.f64 x 3) B)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) B)) (/.f64 (pow.f64 x 3) (pow.f64 B 3))))
(fma.f64 -2/3 (/.f64 (pow.f64 x 3) B) (fma.f64 -1/3 (/.f64 (pow.f64 x 3) B) (/.f64 (pow.f64 x 3) (pow.f64 B 3))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 B 3)) (*.f64 (/.f64 (pow.f64 x 3) B) -1))
(fma.f64 (/.f64 (pow.f64 x 3) B) -1 (/.f64 (pow.f64 x 3) (pow.f64 B 3)))
(fma.f64 (/.f64 (pow.f64 x 3) B) -1 (pow.f64 (/.f64 x B) 3))
(+.f64 (.f64 -2/3 (/.f64 (pow.f64 x 3) B)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) B)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 B 3)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 x 2)) (.f64 -2 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) x))) x) (+.f64 (.f64 2/9 (pow.f64 x 3)) (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 x 2))))) B))))
(fma.f64 -2/3 (/.f64 (pow.f64 x 3) B) (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) B) (/.f64 (pow.f64 x 3) (pow.f64 B 3))) (.f64 B (fma.f64 (fma.f64 1/9 (.f64 x x) (.f64 -2 (.f64 x (.f64 x 1/45)))) x (fma.f64 2/9 (pow.f64 x 3) (neg.f64 (.f64 (.f64 x 1/45) (.f64 x x))))))))
(+.f64 (fma.f64 B (-.f64 (fma.f64 x (fma.f64 1/9 (.f64 x x) (.f64 (.f64 x 1/45) (.f64 x -2))) (.f64 (pow.f64 x 3) 2/9)) (.f64 (pow.f64 x 3) 1/45)) (/.f64 (pow.f64 x 3) (pow.f64 B 3))) (*.f64 (/.f64 (pow.f64 x 3) B) -1))
(fma.f64 (/.f64 (pow.f64 x 3) B) -1 (fma.f64 B (fma.f64 x (.f64 x (+.f64 (.f64 x 1/9) (.f64 x -2/45))) (.f64 (pow.f64 x 3) 1/5)) (/.f64 (pow.f64 x 3) (pow.f64 B 3))))
(fma.f64 (/.f64 (pow.f64 x 3) B) -1 (fma.f64 B (fma.f64 x (.f64 x (+.f64 (.f64 x 1/9) (.f64 x -2/45))) (.f64 (pow.f64 x 3) 1/5)) (pow.f64 (/.f64 x B) 3)))
(+.f64 (.f64 -2/3 (/.f64 (pow.f64 x 3) B)) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) B)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 x 2)) (.f64 -2 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) x))) x) (+.f64 (.f64 2/9 (pow.f64 x 3)) (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 x 2))))) B) (.f64 (+.f64 (.f64 2/3 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 x 2))) (+.f64 (.f64 -1 (.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 x 2))) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x))) x)) (.f64 2/3 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) x))) x) (.f64 -1/3 (.f64 (+.f64 (.f64 1/9 (pow.f64 x 2)) (.f64 -2 (.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) x))) x))))) (pow.f64 B 3))))))
(fma.f64 -2/3 (/.f64 (pow.f64 x 3) B) (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) B) (/.f64 (pow.f64 x 3) (pow.f64 B 3))) (fma.f64 (fma.f64 (fma.f64 1/9 (.f64 x x) (.f64 -2 (.f64 x (.f64 x 1/45)))) x (fma.f64 2/9 (pow.f64 x 3) (neg.f64 (.f64 (.f64 x 1/45) (.f64 x x))))) B (.f64 (pow.f64 B 3) (fma.f64 2/3 (.f64 (.f64 x 1/45) (.f64 x x)) (fma.f64 -1 (.f64 (.f64 x x) (fma.f64 17/315 x (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45)))) (fma.f64 (fma.f64 -2 (.f64 x (fma.f64 17/315 x (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45)))) (.f64 (.f64 x (.f64 x 1/45)) 2/3)) x (.f64 (.f64 -1/3 (fma.f64 1/9 (.f64 x x) (.f64 -2 (.f64 x (*.f64 x 1/45))))) x))))))))
(+.f64 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 B 3)) (.f64 (/.f64 (pow.f64 x 3) B) -1)) (fma.f64 (pow.f64 B 3) (fma.f64 (.f64 (pow.f64 x 3) 1/45) 2/3 (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 -2 (+.f64 (.f64 x -1/135) (.f64 x 1/105))) (.f64 (.f64 x 1/45) 2/3))) (.f64 -1/3 (fma.f64 1/9 (.f64 x x) (.f64 (.f64 x 1/45) (.f64 x -2)))))) (.f64 (.f64 x x) (+.f64 (.f64 x -1/135) (.f64 x 1/105))))) (.f64 B (-.f64 (fma.f64 x (fma.f64 1/9 (.f64 x x) (.f64 (.f64 x 1/45) (.f64 x -2))) (.f64 (pow.f64 x 3) 2/9)) (*.f64 (pow.f64 x 3) 1/45)))))
(fma.f64 (/.f64 (pow.f64 x 3) B) -1 (fma.f64 B (fma.f64 x (.f64 x (+.f64 (.f64 x 1/9) (.f64 x -2/45))) (.f64 (pow.f64 x 3) 1/5)) (fma.f64 (pow.f64 B 3) (fma.f64 x (fma.f64 x (fma.f64 -2 (.f64 x 2/945) (.f64 x 2/135)) (+.f64 (.f64 x (.f64 x 2/135)) (.f64 (.f64 x x) -1/27))) (.f64 x (.f64 x (-.f64 (.f64 x 2/135) (.f64 x 2/945))))) (/.f64 (pow.f64 x 3) (pow.f64 B 3)))))
(fma.f64 (/.f64 (pow.f64 x 3) B) -1 (fma.f64 B (fma.f64 x (.f64 x (+.f64 (.f64 x 1/9) (.f64 x -2/45))) (.f64 (pow.f64 x 3) 1/5)) (fma.f64 (pow.f64 B 3) (fma.f64 x (fma.f64 x (fma.f64 -2 (.f64 x 2/945) (.f64 x 2/135)) (+.f64 (.f64 x (.f64 x 2/135)) (.f64 (.f64 x x) -1/27))) (.f64 x (.f64 x (fma.f64 x 2/135 (*.f64 x -2/945))))) (pow.f64 (/.f64 x B) 3))))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))
(/.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 B) 3))
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))
(/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 (sin.f64 B) x) 3))

eval1.1s (2.3%)

Compiler: Compiled 31107 to 21382 computations (31.3% saved)

prune294.0ms (0.6%)

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	863	36	899
Fresh	12	10	22
Picked	1	0	1
Done	3	1	4
Total	879	47	926

Error

0.0b

Counts

926 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	50.3b	(+.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))) (/.f64 1 (sin.f64 B)))
	50.5b	(/.f64 (-.f64 -1 x) B)
	56.6b	(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
	51.1b	(neg.f64 (/.f64 x B))
	36.4b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	35.8b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	33.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	27.9b	(+.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)))))
	27.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))
	51.8b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	31.0b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	56.5b	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
	32.9b	(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
	55.5b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	41.7b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	53.8b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
	27.9b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
✓	51.9b	(/.f64 -1 (sin.f64 B))
	55.3b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
▶	57.5b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	55.8b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	19.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (expm1.f64 (log1p.f64 (.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F))))))
	37.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
▶	55.6b	(/.f64 -1 B)
	53.4b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	51.8b	(/.f64 (-.f64 1 x) B)
	27.8b	(+.f64 (neg.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
▶	35.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
▶	12.9b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 F) 2) (.f64 (cbrt.f64 F) (/.f64 1 (sin.f64 B)))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	19.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3))))
	33.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	26.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
	43.0b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
▶	26.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	33.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	46.9b	(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	52.3b	(/.f64 1 (sin.f64 B))
	40.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	41.5b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
	50.5b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	38.6b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)))))))
	53.8b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	33.9b	(+.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)))))
	48.6b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	48.5b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	51.9b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	27.8b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))

Compiler

Compiled 1711 to 1286 computations (24.8% saved)

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 F) 2)
✓	0.6b	(cbrt.f64 F)
✓	5.8b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 F) 2) (.f64 (cbrt.f64 F) (/.f64 1 (sin.f64 B)))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	16.8b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

Compiler

Compiled 96 to 49 computations (49% saved)

series10.0ms (0%)

Counts

3 → 36

Calls

15 calls:

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

rewrite146.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`log-prod_binary64`
397×	`prod-diff_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
285×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	420	35
2	5165	35

Stop Event

1×	node limit

Counts

3 → 270

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

605×	`associate-l_binary64`
590×	`associate-r_binary64`
554×	`times-frac_binary64`
505×	`associate-/l*_binary64`
334×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	1966
1	683	1769
2	2317	1634

Stop Event

1×	node limit

Counts

306 → 322

Calls

Call 1

Inputs
(.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))))))

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

localize6.0ms (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 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x))
✓	0.1b	(sqrt.f64 (/.f64 1/2 x))
✓	0.1b	(*.f64 F (sqrt.f64 (/.f64 1/2 x)))
✓	1.7b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)

Compiler

Compiled 46 to 31 computations (32.6% saved)

series17.0ms (0%)

Counts

4 → 52

Calls

24 calls:

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

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
366×	`pow-prod-down_binary64`
299×	`pow2_binary64`
207×	`pow1/3_binary64`
205×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	259	38
2	3552	38

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify149.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1056×	`fma-def_binary64`
511×	`fma-neg_binary64`
216×	`associate-/l*_binary64`
208×	`cancel-sign-sub-inv_binary64`
169×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	893
1	39	893
2	73	830
3	117	830
4	218	830
5	417	830
6	815	830
7	1437	830
8	2298	830
9	3006	830
10	3742	830
11	3791	830
12	3821	830
13	3826	830
14	3826	830

Stop Event

1×

saturated

Counts

235 → 196

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 F (sin.f64 B))
	0.1b	(/.f64 1 (tan.f64 B))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	5.9b	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))

Compiler

Compiled 59 to 29 computations (50.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify162.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

73 → 56

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (tan.f64 B))
✓	0.2b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.4b	(*.f64 (sqrt.f64 1/2) F)

Compiler

Compiled 57 to 34 computations (40.4% saved)

series5.0ms (0%)

Counts

2 → 4

Calls

9 calls:

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

rewrite62.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
788×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
771×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	165	17
2	2089	17

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
545×	`sub-neg_binary64`
362×	`*-commutative_binary64`
302×	`fma-def_binary64`
292×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	151
1	114	134
2	415	106
3	2085	98
4	7152	98

Stop Event

1×	node limit

Counts

58 → 62

Calls

Call 1

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

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

eval445.0ms (1%)

Compiler: Compiled 28842 to 14851 computations (48.5% saved)

prune197.0ms (0.4%)

Pruning

52 alts after pruning (50 fresh and 2 done)

	Pruned	Kept	Total
New	884	24	908
Fresh	15	26	41
Picked	1	0	1
Done	3	2	5
Total	903	52	955

Error

Counts

955 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	26.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 1/2) F)))
	48.5b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	50.3b	(+.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))) (/.f64 1 (sin.f64 B)))
	50.5b	(/.f64 (-.f64 -1 x) B)
	56.6b	(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
▶	49.8b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
▶	29.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) B))
	57.5b	(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1/2 x))) x) B)
	26.7b	(+.f64 (neg.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	51.9b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	52.3b	(/.f64 1 (sin.f64 B))
	43.4b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	36.4b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	27.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))
	51.8b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	47.4b	(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	35.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (sqrt.f64 (.f64 1/2 (*.f64 F F))) (sin.f64 B)))
	35.6b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
▶	32.9b	(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
	55.5b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	53.8b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
✓	51.9b	(/.f64 -1 (sin.f64 B))
	55.3b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	28.0b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 F) 2) (.f64 (cbrt.f64 F) (/.f64 1 (sin.f64 B)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	34.5b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	55.8b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	19.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (expm1.f64 (log1p.f64 (.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F))))))
	37.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
✓	55.6b	(/.f64 -1 B)
	53.4b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	51.8b	(/.f64 (-.f64 1 x) B)
	31.0b	(/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))
	35.8b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
▶	19.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3))))
	33.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	63.1b	(/.f64 (hypot.f64 (*.f64 F (sqrt.f64 (/.f64 1/2 x))) x) B)
	43.0b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	35.8b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 F (sin.f64 B)) F))
	26.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	46.4b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	26.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	26.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F))
▶	51.1b	(/.f64 (neg.f64 x) B)
	57.5b	(/.f64 (+.f64 (.f64 F (pow.f64 (.f64 x 2) -1/2)) (*.f64 -1 x)) B)
	41.5b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
	50.5b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	41.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 F B) (.f64 F (.f64 B 1/6)))))
	38.6b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)))))))
	53.8b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	33.9b	(+.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)))))
	48.6b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	35.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))

Compiler

Compiled 1777 to 1325 computations (25.4% saved)

localize61.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3)
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.4b	(*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F))
✓	24.1b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3))

Compiler

Compiled 138 to 90 computations (34.8% saved)

series47.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3)
7.0ms	x	@	inf	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3))
3.0ms	F	@	0	(pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3)
3.0ms	B	@	0	(pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3)
2.0ms	F	@	inf	(pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3)

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
386×	`pow-prod-down_binary64`
333×	`pow2_binary64`
255×	`pow-unpow_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	297	57
2	3376	57

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3))

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

(pow.f64 (*.f64 (sin.f64 B) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) 3)

Outputs

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(sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2) (sin.f64 B)) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2) (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) F)) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2) 1) (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) (cbrt.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) 2) (cbrt.f64 (/.f64 (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 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2) (sqrt.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) (sqrt.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3) (pow.f64 F 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 2) (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) F)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 B) (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))))) 1))))))

simplify113.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-/r/_binary64`
470×	`fma-def_binary64`
351×	`associate-r_binary64`
330×	`*-commutative_binary64`
252×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	5555
1	1503	4542
2	6008	3897

Stop Event

1×	node limit

Counts

199 → 173

Calls

Call 1

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

Outputs
(.f64 (/.f64 B F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 B F) (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))))
(*.f64 (/.f64 B F) (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))))
(*.f64 (/.f64 B F) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))))
(+.f64 (.f64 (/.f64 B F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 B 3) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))
(fma.f64 (/.f64 B F) (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (.f64 (.f64 -1/6 (/.f64 (pow.f64 B 3) F)) (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (/.f64 B F) (.f64 -1/6 (/.f64 (pow.f64 B 3) F))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (/.f64 B F) (.f64 -1/6 (/.f64 (pow.f64 B 3) F))))
(+.f64 (.f64 (/.f64 B F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (+.f64 (.f64 1/120 (.f64 (/.f64 (pow.f64 B 5) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 B 3) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(fma.f64 (/.f64 B F) (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (pow.f64 B 5) F)) (.f64 (.f64 -1/6 (/.f64 (pow.f64 B 3) F)) (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))))))
(fma.f64 (/.f64 B F) (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 B 3) F)) (/.f64 (*.f64 1/120 (pow.f64 B 5)) F))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 B 3) F)) (+.f64 (/.f64 B F) (/.f64 (*.f64 1/120 (pow.f64 B 5)) F))))
(+.f64 (.f64 (/.f64 B F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (+.f64 (.f64 -1/5040 (.f64 (/.f64 (pow.f64 B 7) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/120 (.f64 (/.f64 (pow.f64 B 5) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 -1/6 (.f64 (/.f64 (pow.f64 B 3) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(fma.f64 (/.f64 B F) (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (fma.f64 -1/5040 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (pow.f64 B 7) F)) (fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (pow.f64 B 5) F)) (.f64 (.f64 -1/6 (/.f64 (pow.f64 B 3) F)) (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 B 7) F)) (/.f64 (.f64 1/120 (pow.f64 B 5)) F))) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (/.f64 B F) (*.f64 -1/6 (/.f64 (pow.f64 B 3) F)))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 B 3) F)) (/.f64 (.f64 1/120 (pow.f64 B 5)) F)) (+.f64 (/.f64 B F) (.f64 -1/5040 (/.f64 (pow.f64 B 7) F)))))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) F))
(.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (.f64 2 x) 2)))
(*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2)))
(+.f64 (.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 (sin.f64 B) F))))
(fma.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 F (sin.f64 B)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F (sin.f64 B))) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2))))
(+.f64 (.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (.f64 2 x) 2))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (.f64 (sin.f64 B) (pow.f64 F 3)) (+.f64 (.f64 2 x) 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (*.f64 (sin.f64 B) F)))))
(fma.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F (sin.f64 B))))))
(fma.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F (sin.f64 B))) (.f64 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 3)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) -1/8))))
(fma.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F (sin.f64 B))) (.f64 -1/8 (*.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) (sin.f64 B))))))
(+.f64 (.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (.f64 2 x) 2))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (.f64 (sin.f64 B) (pow.f64 F 3)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 (.f64 (sin.f64 B) (pow.f64 F 5)) (+.f64 (.f64 2 x) 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 (sin.f64 B) F))))))
(fma.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 5)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 F (sin.f64 B)))))))
(fma.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 3))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F (sin.f64 B))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 5))) 1/16)))))
(+.f64 (fma.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F (sin.f64 B))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2)) (sin.f64 B)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (.f64 (/.f64 (pow.f64 F 5) (fma.f64 2 x 2)) (sin.f64 B)) 1/16)))
(sin.f64 B)
(+.f64 (sin.f64 B) (.f64 1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) (pow.f64 F 2))))
(+.f64 (sin.f64 B) (.f64 1/2 (/.f64 (fma.f64 2 x 2) (/.f64 (.f64 F F) (sin.f64 B)))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 B) F) (/.f64 (fma.f64 2 x 2) F)) (sin.f64 B))
(+.f64 (sin.f64 B) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) (pow.f64 F 2))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 4)))))
(+.f64 (sin.f64 B) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (/.f64 (.f64 F F) (sin.f64 B))) (.f64 -1/8 (/.f64 (sin.f64 B) (/.f64 (pow.f64 F 4) (pow.f64 (fma.f64 2 x 2) 2))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (/.f64 (fma.f64 2 x 2) F)) (sin.f64 B)) (.f64 -1/8 (*.f64 (/.f64 (sin.f64 B) (pow.f64 F 4)) (pow.f64 (fma.f64 2 x 2) 2))))
(+.f64 (sin.f64 B) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (/.f64 (fma.f64 2 x 2) F)) (.f64 (/.f64 (*.f64 (sin.f64 B) -1/8) (pow.f64 F 4)) (pow.f64 (fma.f64 2 x 2) 2))))
(+.f64 (sin.f64 B) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) (pow.f64 F 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 4))) (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (.f64 (sin.f64 B) (+.f64 (*.f64 2 x) 2))) (pow.f64 F 6))))))
(+.f64 (sin.f64 B) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (/.f64 (.f64 F F) (sin.f64 B))) (fma.f64 -1/8 (/.f64 (sin.f64 B) (/.f64 (pow.f64 F 4) (pow.f64 (fma.f64 2 x 2) 2))) (.f64 1/16 (/.f64 (fma.f64 2 x 2) (/.f64 (pow.f64 F 6) (*.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2))))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (/.f64 (fma.f64 2 x 2) F)) (sin.f64 B)) (fma.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (pow.f64 F 4)) (pow.f64 (fma.f64 2 x 2) 2)) (.f64 1/16 (/.f64 (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)))))
(*.f64 (sin.f64 B) (cbrt.f64 -1))
(+.f64 (.f64 (sin.f64 B) (cbrt.f64 -1)) (.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (*.f64 (sin.f64 B) (cbrt.f64 -1))) (pow.f64 F 2))))
(fma.f64 (sin.f64 B) (cbrt.f64 -1) (.f64 1/2 (/.f64 (fma.f64 2 x 2) (/.f64 (.f64 F F) (*.f64 (sin.f64 B) (cbrt.f64 -1))))))
(fma.f64 1/2 (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (.f64 (sin.f64 B) (cbrt.f64 -1))) (.f64 (sin.f64 B) (cbrt.f64 -1)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 (sin.f64 B) (cbrt.f64 -1)) (.f64 F F)) (fma.f64 2 x 2)) (.f64 (sin.f64 B) (cbrt.f64 -1)))
(+.f64 (.f64 (sin.f64 B) (cbrt.f64 -1)) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (cbrt.f64 -1))) (pow.f64 F 2))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (.f64 (cbrt.f64 -1) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 F 4)))))
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(-.f64 (fma.f64 1/8 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 4)) (pow.f64 (sin.f64 B) 3)) (+.f64 (.f64 (/.f64 1/16 (pow.f64 F 6)) (.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 (sin.f64 B) 3))) (+.f64 (+.f64 (/.f64 0 (pow.f64 F 6)) (.f64 -1/2 (.f64 (+.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) 1) (.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (pow.f64 (sin.f64 B) 3))))) (-.f64 (/.f64 (+.f64 0 (.f64 x 0)) (pow.f64 F 6)) (.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (pow.f64 (sin.f64 B) 3)))))) (pow.f64 (sin.f64 B) 3))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))
(.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (sqrt.f64 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (sqrt.f64 (pow.f64 (fma.f64 F F 2) 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (pow.f64 (fma.f64 F F 2) 3/2))
(+.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) (.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))) x))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (.f64 x (.f64 3 (.f64 (sqrt.f64 (+.f64 (*.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))))
(fma.f64 x (.f64 3 (.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))) (*.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (sqrt.f64 (pow.f64 (fma.f64 F F 2) 3))))
(fma.f64 x (.f64 3 (.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))) (*.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (pow.f64 (fma.f64 F F 2) 3/2)))
(+.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) (pow.f64 F 2)))) (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) (pow.f64 F 2))))) F)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) (.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))) x)))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (sin.f64 B) (/.f64 F (.f64 0 (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (.f64 F F) (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) 3/2)) (.f64 x x) (.f64 x (.f64 3 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (sqrt.f64 (pow.f64 (fma.f64 F F 2) 3)) (fma.f64 (.f64 x x) (fma.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (sin.f64 B) (/.f64 F 0)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) 3/2))) (.f64 x (.f64 3 (.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (pow.f64 (fma.f64 F F 2) 3/2) (.f64 x (+.f64 (.f64 3 (.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))) (.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) 3/2 0) x))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 2) (pow.f64 F 2)))) (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 2) (pow.f64 F 2))))) F)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) (pow.f64 F 2)))) (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) (pow.f64 F 2))))) F)) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))))) (pow.f64 x 3)) (+.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) (pow.f64 F 2)))) (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) (pow.f64 F 2))))) F)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))) x))))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (sin.f64 B) (/.f64 F (.f64 0 (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (.f64 F F) (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 2)))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sin.f64 B) (/.f64 F (.f64 0 (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (.f64 F F) (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))))) (pow.f64 x 3) (fma.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (sin.f64 B) (/.f64 F (.f64 0 (/.f64 (pow.f64 (sin.f64 B) 2) (.f64 (.f64 F F) (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) 3/2)) (.f64 x x) (.f64 x (.f64 3 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))))))
(fma.f64 (pow.f64 x 3) (fma.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (sin.f64 B) (/.f64 F 0)) (-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) (/.f64 F 0)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))) (fma.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (sqrt.f64 (pow.f64 (fma.f64 F F 2) 3)) (fma.f64 (.f64 x x) (fma.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (sin.f64 B) (/.f64 F 0)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) 3/2))) (.f64 x (.f64 3 (*.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))))))))
(fma.f64 (pow.f64 x 3) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) -1/2) (fma.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)) (pow.f64 (fma.f64 F F 2) 3/2) (.f64 x (+.f64 (.f64 3 (.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))) (.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3))) 3/2 0) x)))))

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize39.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	0.1b	(/.f64 F (sin.f64 B))
	5.9b	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log-prod_binary64`
406×	`fma-def_binary64`
321×	`pow2_binary64`
238×	`log-div_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	267	12
2	4091	12

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

709×	`cancel-sign-sub-inv_binary64`
628×	`distribute-rgt-neg-in_binary64`
491×	`fma-def_binary64`
470×	`distribute-lft-neg-in_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	423
1	81	417
2	181	417
3	531	415
4	1187	415
5	2618	415
6	5548	415
7	7790	415

Stop Event

1×	node limit

Counts

146 → 121

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (tan.f64 B))
✓	0.2b	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
	0.4b	(*.f64 (sqrt.f64 1/2) F)

Compiler

Compiled 53 to 33 computations (37.7% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	F	@	inf	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
1.0ms	F	@	0	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
1.0ms	B	@	inf	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
0.0ms	B	@	-inf	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
0.0ms	F	@	-inf	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)

rewrite49.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`pow1_binary64`
702×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
687×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1865	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 18 computations (63.3% saved)

series34.0ms (0.1%)

Counts

4 → 19

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	B	@	inf	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
2.0ms	B	@	-inf	(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
1.0ms	B	@	0	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms	B	@	-inf	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms	x	@	0	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))

rewrite91.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`log-prod_binary64`
361×	`pow-prod-down_binary64`
299×	`pow2_binary64`
292×	`fma-def_binary64`
232×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	251	39
2	3524	32

Stop Event

1×	node limit

Counts

4 → 292

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 B) (.f64 x (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (cos.f64 B) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 B) x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 B) x) (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 B) x) (.f64 (/.f64 1 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 B)) (.f64 (cos.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 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 B) x)) 2) 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simplify52.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

533×	`distribute-rgt-in_binary64`
488×	`distribute-lft-in_binary64`
423×	`fma-def_binary64`
289×	`fma-neg_binary64`
274×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	454
1	266	394
2	778	327
3	3292	316

Stop Event

1×	node limit

Counts

311 → 324

Calls

Call 1

Inputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (+.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (pow.f64 B 5)) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 B 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 B 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 B 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x)))
(/.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 (*.f64 -1 x) 1) B)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) 7/360) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))) 1/6) B) (.f64 -1 (/.f64 x B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) 7/360) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))) 1/6) B) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))))) 31/15120) (pow.f64 B 5))))) (/.f64 1 B))
(/.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)))

Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (.f64 B (.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/3) B (.f64 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 B (.f64 x -1/3) (.f64 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (pow.f64 B 3))))
(fma.f64 x (.f64 B -1/3) (fma.f64 (.f64 x -1/45) (pow.f64 B 3) (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (+.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (pow.f64 B 5)) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/3) B (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) (fma.f64 -1/5040 x (.f64 (.f64 x -1/3) 1/120)))) (pow.f64 B 5) (.f64 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 B (.f64 x -1/3) (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (fma.f64 x -1/5040 (.f64 x -1/360)))) (pow.f64 B 5) (.f64 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 x (.f64 B -1/3) (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (.f64 x -1/45) (.f64 x -1/336))) (pow.f64 B 5) (.f64 (.f64 x -1/45) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (+.f64 (.f64 -1/6 (.f64 x 1/45)) (.f64 x 1/630)) (pow.f64 B 5) (fma.f64 (.f64 x -1/45) (pow.f64 B 3) (.f64 -1/3 (.f64 x B)))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 B B)) x)
(fma.f64 (.f64 (.f64 -1/2 B) B) x x)
(.f64 x (fma.f64 -1/2 (.f64 B B) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 B 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (.f64 x (*.f64 B B)) x))
(fma.f64 1/24 (.f64 x (pow.f64 B 4)) (fma.f64 (.f64 (*.f64 -1/2 B) B) x x))
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (.f64 B (.f64 B -1/2))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 B 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 B 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 B 6)) (fma.f64 1/24 (.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (.f64 x (.f64 B B)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 B 6)) (fma.f64 1/24 (.f64 x (pow.f64 B 4)) (fma.f64 (.f64 (.f64 -1/2 B) B) x x)))
(fma.f64 x (.f64 -1/720 (pow.f64 B 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (.f64 B (*.f64 B -1/2))) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 B B) 1) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4)))))
(/.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 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (/.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 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(/.f64 (-.f64 (*.f64 -1 x) 1) B)
(/.f64 (fma.f64 -1 x -1) B)
(/.f64 (fma.f64 x -1 -1) B)
(/.f64 (-.f64 -1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (.f64 B (fma.f64 -1 (.f64 x -1/3) -1/6)) (/.f64 (fma.f64 -1 x -1) B))
(fma.f64 B (+.f64 -1/6 (*.f64 x 1/3)) (/.f64 (fma.f64 x -1 -1) B))
(fma.f64 B (fma.f64 x 1/3 -1/6) (/.f64 (-.f64 -1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) 7/360) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))) 1/6) B) (.f64 -1 (/.f64 x B)))) (/.f64 1 B))
(+.f64 (.f64 (pow.f64 B 3) (fma.f64 -1 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) -7/360)) (+.f64 (.f64 B (fma.f64 -1 (.f64 x -1/3) -1/6)) (/.f64 (fma.f64 -1 x -1) B)))
(fma.f64 (pow.f64 B 3) (fma.f64 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) -1 -7/360) (fma.f64 B (+.f64 -1/6 (*.f64 x 1/3)) (/.f64 (fma.f64 x -1 -1) B)))
(fma.f64 (pow.f64 B 3) (-.f64 -7/360 (*.f64 x -1/45)) (fma.f64 B (fma.f64 x 1/3 -1/6) (/.f64 (-.f64 -1 x) B)))
(fma.f64 (pow.f64 B 3) (+.f64 (*.f64 x 1/45) -7/360) (fma.f64 B (fma.f64 x 1/3 -1/6) (/.f64 (-.f64 -1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) 7/360) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))) 1/6) B) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))))) 31/15120) (pow.f64 B 5))))) (/.f64 1 B))
(-.f64 (fma.f64 (fma.f64 -1 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) -7/360) (pow.f64 B 3) (fma.f64 (fma.f64 -1 (.f64 x -1/3) -1/6) B (fma.f64 -1 (/.f64 x B) (.f64 (pow.f64 B 5) (fma.f64 -1 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) (fma.f64 -1/5040 x (.f64 (*.f64 x -1/3) 1/120)))) -31/15120))))) (/.f64 1 B))
(+.f64 (fma.f64 (pow.f64 B 3) (fma.f64 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) -1 -7/360) (fma.f64 B (+.f64 -1/6 (.f64 x 1/3)) (-.f64 (.f64 (pow.f64 B 5) (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (fma.f64 x -1/5040 (.f64 x -1/360)))) -1 -31/15120)) (/.f64 x B)))) (/.f64 -1 B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 -1/6) (/.f64 (-.f64 -1 x) B)) (fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (fma.f64 -1/6 (.f64 x -1/45) (.f64 x -1/336)) (.f64 x 1/720)) -31/15120) (.f64 (pow.f64 B 3) (-.f64 -7/360 (*.f64 x -1/45)))))
(fma.f64 (pow.f64 B 3) (+.f64 (.f64 x 1/45) -7/360) (fma.f64 (pow.f64 B 5) (+.f64 (-.f64 -31/15120 (.f64 x 1/630)) (.f64 -1/6 (.f64 x -1/45))) (fma.f64 B (fma.f64 x 1/3 -1/6) (/.f64 (-.f64 -1 x) B))))
(/.f64 -1 (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))

eval847.0ms (1.9%)

Compiler: Compiled 21632 to 12701 computations (41.3% saved)

prune379.0ms (0.8%)

Pruning

61 alts after pruning (58 fresh and 3 done)

	Pruned	Kept	Total
New	847	27	874
Fresh	14	31	45
Picked	1	0	1
Done	3	3	6
Total	865	61	926

Error

Counts

926 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	26.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 1/2) F)))
	47.2b	(+.f64 (neg.f64 (/.f64 x B)) (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1))
	48.5b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	26.7b	(+.f64 (neg.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	51.9b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	57.5b	(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1/2 x))) x) B)
	52.3b	(/.f64 1 (sin.f64 B))
	35.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F)))
	31.0b	(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
	49.8b	(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (pow.f64 (sqrt.f64 (sin.f64 B)) -2))
	43.4b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	36.4b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	49.1b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) B))
	51.8b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	47.4b	(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	49.8b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 F (sin.f64 B)) F))
	35.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (sqrt.f64 (.f64 1/2 (*.f64 F F))) (sin.f64 B)))
	49.0b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (*.f64 (sqrt.f64 1/2) F) B))
	55.5b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	49.1b	(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) B))
	52.0b	(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
	28.0b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 F) 2) (.f64 (cbrt.f64 F) (/.f64 1 (sin.f64 B)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	51.8b	(/.f64 (-.f64 1 x) B)
✓	51.9b	(/.f64 -1 (sin.f64 B))
	55.3b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	34.5b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	33.1b	(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (pow.f64 (cbrt.f64 (sin.f64 B)) -3))
	32.9b	(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) -1) (sin.f64 B))
	37.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	55.8b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
✓	55.6b	(/.f64 -1 B)
	51.8b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
	53.4b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	31.0b	(/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))
	32.9b	(neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))
	63.1b	(/.f64 (hypot.f64 (*.f64 F (sqrt.f64 (/.f64 1/2 x))) x) B)
	50.9b	(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
	43.0b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))
	52.2b	(*.f64 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))) 1)
	26.7b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
	54.3b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 1 F)))
	33.0b	(-.f64 (.f64 -1 (.f64 (cos.f64 B) (*.f64 x (/.f64 1 (sin.f64 B))))) (/.f64 1 (sin.f64 B)))
	50.5b	(/.f64 (-.f64 -1 x) B)
	54.9b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
	26.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F))
	33.0b	(-.f64 (.f64 -1 (.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x)))) (/.f64 1 (sin.f64 B)))
	29.5b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (*.f64 (sqrt.f64 1/2) F) B))
✓	51.1b	(/.f64 (neg.f64 x) B)
	27.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
	29.6b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 (*.f64 (sqrt.f64 1/2) F) B))
	48.0b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (/.f64 (*.f64 F (sin.f64 B)) F)))
	41.5b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 -1 x)) B)
	50.5b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	49.6b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F)))
	41.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 F B) (.f64 F (.f64 B 1/6)))))
	53.8b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	39.6b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (cbrt.f64 (pow.f64 (neg.f64 (sin.f64 B)) 3))))
	33.9b	(+.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)))))
	48.6b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	56.6b	(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
	29.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (sqrt.f64 1/2) (/.f64 1 (/.f64 B F))))

Compiler

Compiled 986 to 733 computations (25.7% saved)

regimes1.1s (2.4%)

Counts

116 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

289.0ms	F
265.0ms	(+.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)))))
251.0ms	x
238.0ms	B

Results

Error	Segments	Branch
0.2b	3	`F`
6.1b	3	`B`
4.1b	4	`x`
0.8b	4	`(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))`

Compiler

Compiled 1903 to 1059 computations (44.4% saved)

bsearch691.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
368.0ms	617927183853980.5	19645298264499284.0
322.0ms	-114377418006939.88	-15645891221132.883

Compiler

Compiled 609 to 457 computations (25% saved)

regimes693.0ms (1.5%)

Counts

87 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

277.0ms	x
203.0ms	B
171.0ms	F

Results

Error	Segments	Branch
0.6b	3	`F`
12.8b	4	`B`
14.3b	5	`x`

Compiler

Compiled 1193 to 666 computations (44.2% saved)

bsearch1.1s (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
526.0ms	0.0007607918310094483	22669.186409460694
572.0ms	-462.9032966268947	-1.6985777707809984e-20

Compiler

Compiled 794 to 608 computations (23.4% saved)

regimes719.0ms (1.6%)

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

315.0ms	x
191.0ms	F
178.0ms	B

Results

Error	Segments	Branch
0.6b	3	`F`
12.8b	4	`B`
14.3b	5	`x`

Compiler

Compiled 1090 to 606 computations (44.4% saved)

bsearch141.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	0.0007607918310094483	22669.186409460694
56.0ms	-462.9032966268947	-1.6985777707809984e-20

Compiler

Compiled 100 to 76 computations (24% saved)

regimes783.0ms (1.7%)

Counts

70 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

278.0ms	x
271.0ms	F
183.0ms	B

Results

Error	Segments	Branch
6.9b	3	`F`
20.4b	4	`B`
17.8b	3	`x`

Compiler

Compiled 909 to 507 computations (44.2% saved)

bsearch154.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	0.0007607918310094483	22669.186409460694
64.0ms	-462.9032966268947	-1.6985777707809984e-20

Compiler

Compiled 98 to 74 computations (24.5% saved)

regimes551.0ms (1.2%)

Counts

69 → 4

Calls

Call 1

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

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

Calls

3 calls:

238.0ms	B
158.0ms	F
127.0ms	x

Results

Error	Segments	Branch
7.7b	4	`F`
20.4b	4	`B`
17.8b	3	`x`

Compiler

Compiled 897 to 502 computations (44% saved)

bsearch201.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
102.0ms	2.357214188000263e+223	3.8197706256197824e+230
50.0ms	0.0007607918310094483	22669.186409460694
49.0ms	-462.9032966268947	-1.6985777707809984e-20

Compiler

Compiled 102 to 78 computations (23.5% saved)

regimes624.0ms (1.4%)

Counts

55 → 4

Calls

Call 1

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

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

Calls

3 calls:

214.0ms	x
197.0ms	B
163.0ms	F

Results

Error	Segments	Branch
7.9b	4	`F`
20.4b	4	`B`
20.7b	6	`x`

Compiler

Compiled 633 to 355 computations (43.9% saved)

bsearch254.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
145.0ms	2.357214188000263e+223	3.8197706256197824e+230
50.0ms	0.0007607918310094483	22669.186409460694
59.0ms	-462.9032966268947	-1.6985777707809984e-20

Compiler

Compiled 100 to 76 computations (24% saved)

regimes546.0ms (1.2%)

Counts

51 → 4

Calls

Call 1

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

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

Calls

3 calls:

225.0ms	B
167.0ms	x
132.0ms	F

Results

Error	Segments	Branch
9.5b	4	`F`
25.7b	7	`B`
22.2b	5	`x`

Compiler

Compiled 574 to 325 computations (43.4% saved)

bsearch218.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
115.0ms	1.0350860161071949e+210	2.8826862914897394e+211
48.0ms	0.0007607918310094483	22669.186409460694
52.0ms	-462.9032966268947	-1.6985777707809984e-20

Compiler

Compiled 97 to 75 computations (22.7% saved)

regimes768.0ms (1.7%)

Counts

46 → 4

Calls

Call 1

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

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

Calls

3 calls:

324.0ms	x
231.0ms	B
197.0ms	F

Results

Error	Segments	Branch
13.3b	4	`F`
26.2b	5	`B`
24.6b	6	`x`

Compiler

Compiled 510 to 289 computations (43.3% saved)

bsearch270.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
169.0ms	1.0350860161071949e+210	2.8826862914897394e+211
50.0ms	8.57579684163099e-30	6.40599270615187e-28
51.0ms	-1.8392620511741086e-29	-1.5286822856351273e-32

Compiler

Compiled 89 to 69 computations (22.5% saved)

regimes570.0ms (1.3%)

Counts

43 → 6

Calls

Call 1

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

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

Calls

3 calls:

207.0ms	x
174.0ms	F
162.0ms	B

Results

Error	Segments	Branch
17.2b	6	`F`
27.3b	4	`B`
25.1b	5	`x`

Compiler

Compiled 479 to 272 computations (43.2% saved)

bsearch1.8s (3.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
130.0ms	1.0350860161071949e+210	2.8826862914897394e+211
50.0ms	8.57579684163099e-30	6.40599270615187e-28
1.4s	-1.8392620511741086e-29	-1.5286822856351273e-32
117.0ms	-2.53930457330983e+132	-1.9192597131841643e+131
100.0ms	-1.659541374002375e+193	-2.8434224982974e+192

Compiler

Compiled 223 to 177 computations (20.6% saved)

regimes516.0ms (1.1%)

Counts

41 → 6

Calls

Call 1

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

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

Calls

3 calls:

197.0ms	x
176.0ms	F
130.0ms	B

Results

Error	Segments	Branch
17.2b	6	`F`
27.3b	4	`B`
25.1b	5	`x`

Compiler

Compiled 463 to 267 computations (42.3% saved)

bsearch820.0ms (1.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
96.0ms	1.0350860161071949e+210	2.8826862914897394e+211
52.0ms	8.57579684163099e-30	6.40599270615187e-28
412.0ms	-1.8392620511741086e-29	-1.5286822856351273e-32
94.0ms	-2.53930457330983e+132	-1.9192597131841643e+131
166.0ms	-1.659541374002375e+193	-2.8434224982974e+192

Compiler

Compiled 223 to 177 computations (20.6% saved)

regimes633.0ms (1.4%)

Counts

40 → 8

Calls

Call 1

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

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

Calls

3 calls:

292.0ms	F
203.0ms	B
124.0ms	x

Results

Error	Segments	Branch
21.8b	8	`F`
28.1b	5	`B`
27.7b	5	`x`

Compiler

Compiled 455 to 264 computations (42% saved)

bsearch2.5s (5.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
139.0ms	1.0350860161071949e+210	2.8826862914897394e+211
361.0ms	7.649642461335375e-199	1.0082148466789606e-197
546.0ms	2.7656604919681243e-301	4.9339544844667775e-288
195.0ms	-6.200188662034285e-191	-3.2786356659340886e-191
905.0ms	-462.9032966268947	-1.6985777707809984e-20
128.0ms	-2.53930457330983e+132	-1.9192597131841643e+131
236.0ms	-1.659541374002375e+193	-2.8434224982974e+192

Compiler

Compiled 1131 to 838 computations (25.9% saved)

regimes465.0ms (1%)

Counts

37 → 8

Calls

Call 1

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

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

Calls

3 calls:

182.0ms	F
160.0ms	B
111.0ms	x

Results

Error	Segments	Branch
21.8b	8	`F`
28.1b	5	`B`
27.8b	5	`x`

Compiler

Compiled 402 to 233 computations (42% saved)

bsearch2.0s (4.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
127.0ms	1.0350860161071949e+210	2.8826862914897394e+211
377.0ms	7.649642461335375e-199	1.0082148466789606e-197
521.0ms	2.7656604919681243e-301	4.9339544844667775e-288
196.0ms	-6.200188662034285e-191	-3.2786356659340886e-191
553.0ms	-462.9032966268947	-1.6985777707809984e-20
105.0ms	-2.53930457330983e+132	-1.9192597131841643e+131
107.0ms	-1.659541374002375e+193	-2.8434224982974e+192

Compiler

Compiled 1131 to 869 computations (23.2% saved)

regimes602.0ms (1.3%)

Counts

36 → 8

Calls

Call 1

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

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

Calls

3 calls:

239.0ms	B
213.0ms	F
137.0ms	x

Results

Error	Segments	Branch
21.9b	8	`F`
28.1b	5	`B`
27.9b	5	`x`

Compiler

Compiled 385 to 221 computations (42.6% saved)

bsearch2.5s (5.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
153.0ms	1.0350860161071949e+210	2.8826862914897394e+211
283.0ms	7.649642461335375e-199	1.0082148466789606e-197
792.0ms	2.7656604919681243e-301	4.9339544844667775e-288
401.0ms	-6.200188662034285e-191	-3.2786356659340886e-191
643.0ms	-462.9032966268947	-1.6985777707809984e-20
125.0ms	-2.53930457330983e+132	-1.9192597131841643e+131
118.0ms	-1.659541374002375e+193	-2.8434224982974e+192

Compiler

Compiled 1020 to 789 computations (22.6% saved)

regimes460.0ms (1%)

Counts

35 → 8

Calls

Call 1

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

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

Calls

3 calls:

171.0ms	x
134.0ms	B
132.0ms	F

Results

Error	Segments	Branch
21.9b	8	`F`
28.1b	7	`B`
27.9b	5	`x`

Compiler

Compiled 369 to 209 computations (43.4% saved)

bsearch1.9s (4.2%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
165.0ms	1.0350860161071949e+210	2.8826862914897394e+211
310.0ms	7.649642461335375e-199	1.0082148466789606e-197
499.0ms	2.7656604919681243e-301	4.9339544844667775e-288
193.0ms	-6.200188662034285e-191	-3.2786356659340886e-191
534.0ms	-462.9032966268947	-1.6985777707809984e-20
97.0ms	-2.53930457330983e+132	-1.9192597131841643e+131
101.0ms	-1.659541374002375e+193	-2.8434224982974e+192

Compiler

Compiled 945 to 714 computations (24.4% saved)

regimes381.0ms (0.8%)

Counts

34 → 6

Calls

Call 1

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

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

Calls

3 calls:

134.0ms	x
130.0ms	B
103.0ms	F

Results

Error	Segments	Branch
23.7b	6	`F`
29.0b	8	`B`
27.9b	5	`x`

Compiler

Compiled 354 to 201 computations (43.2% saved)

bsearch1.4s (3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
139.0ms	1.0350860161071949e+210	2.8826862914897394e+211
387.0ms	7.649642461335375e-199	1.0082148466789606e-197
642.0ms	-462.9032966268947	-1.6985777707809984e-20
105.0ms	-2.53930457330983e+132	-1.9192597131841643e+131
102.0ms	-1.659541374002375e+193	-2.8434224982974e+192

Compiler

Compiled 469 to 364 computations (22.4% saved)

regimes250.0ms (0.5%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	x
86.0ms	B
64.0ms	F

Results

Error	Segments	Branch
29.6b	3	`F`
41.1b	6	`B`
41.9b	5	`x`

Compiler

Compiled 239 to 137 computations (42.7% saved)

bsearch1.1s (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
504.0ms	0.0007607918310094483	22669.186409460694
555.0ms	-462.9032966268947	-1.6985777707809984e-20

Compiler

Compiled 594 to 468 computations (21.2% saved)

regimes170.0ms (0.4%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	B
60.0ms	x
42.0ms	F

Results

Error	Segments	Branch
33.4b	3	`F`
42.1b	5	`B`
43.3b	4	`x`

Compiler

Compiled 228 to 132 computations (42.1% saved)

bsearch658.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
284.0ms	6.40599270615187e-28	6.422659387938724e-27
373.0ms	-1.8392620511741086e-29	-1.5286822856351273e-32

Compiler

Compiled 328 to 266 computations (18.9% saved)

regimes136.0ms (0.3%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	x
50.0ms	B
30.0ms	F

Results

Error	Segments	Branch
33.4b	3	`F`
42.3b	5	`B`
43.3b	4	`x`

Compiler

Compiled 197 to 118 computations (40.1% saved)

bsearch681.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
286.0ms	6.40599270615187e-28	6.422659387938724e-27
394.0ms	-1.8392620511741086e-29	-1.5286822856351273e-32

Compiler

Compiled 292 to 242 computations (17.1% saved)

regimes133.0ms (0.3%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	B
48.0ms	x
29.0ms	F

Results

Error	Segments	Branch
33.4b	3	`F`
42.3b	5	`B`
43.3b	4	`x`

Compiler

Compiled 189 to 112 computations (40.7% saved)

bsearch659.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
274.0ms	6.40599270615187e-28	6.422659387938724e-27
385.0ms	-1.8392620511741086e-29	-1.5286822856351273e-32

Compiler

Compiled 260 to 210 computations (19.2% saved)

regimes156.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

71.0ms	F
49.0ms	B
29.0ms	x

Results

Error	Segments	Branch
35.2b	3	`F`
43.8b	4	`B`
44.7b	3	`x`

Compiler

Compiled 185 to 110 computations (40.5% saved)

bsearch409.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
341.0ms	6.40599270615187e-28	6.422659387938724e-27
67.0ms	-2.304780759293008e-69	-3.0784740170221554e-86

Compiler

Compiled 149 to 119 computations (20.1% saved)

regimes116.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	x
34.0ms	B
25.0ms	F

Results

Error	Segments	Branch
39.4b	3	`F`
48.0b	3	`B`
47.0b	5	`x`

Compiler

Compiled 177 to 105 computations (40.7% saved)

bsearch347.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
298.0ms	6.40599270615187e-28	6.422659387938724e-27
48.0ms	-2.304780759293008e-69	-3.0784740170221554e-86

Compiler

Compiled 191 to 143 computations (25.1% saved)

regimes70.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	x
23.0ms	B
17.0ms	F

Results

Error	Segments	Branch
39.4b	3	`F`
48.0b	3	`B`
47.0b	5	`x`

Compiler

Compiled 61 to 38 computations (37.7% saved)

bsearch148.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
88.0ms	8.57579684163099e-30	6.40599270615187e-28
60.0ms	-2.304780759293008e-69	-3.0784740170221554e-86

Compiler

Compiled 70 to 54 computations (22.9% saved)

regimes97.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	F
18.0ms	x
15.0ms	B

Results

Error	Segments	Branch
41.4b	3	`F`
48.2b	3	`B`
47.4b	4	`x`

Compiler

Compiled 31 to 21 computations (32.3% saved)

bsearch386.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	8.57579684163099e-30	6.40599270615187e-28
338.0ms	-3.932740106640573e-46	-2.820704525406109e-47

Compiler

Compiled 143 to 113 computations (21% saved)

regimes36.0ms (0.1%)

Accuracy

Total -15.6b remaining (-33.5%)

Threshold costs -15.6b (-33.5%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
13.0ms	B
8.0ms	F

Results

Error	Segments	Branch
46.5b	2	`F`
49.3b	3	`B`
48.6b	3	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch383.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
382.0ms	-3.932740106640573e-46	-2.820704525406109e-47

Compiler

Compiled 126 to 100 computations (20.6% saved)

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

47×	`+-commutative_binary64`
39×	`*-commutative_binary64`
26×	`sub-neg_binary64`
21×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	1886
1	278	1812
2	356	1796
3	409	1796
4	430	1796
5	438	1796
6	439	1796

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 F -1048576000000000000/65536) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 620000000000000) (+.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 (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -5784800237655953408/340282366920938463463374607431768211456) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 14388460377493450/18446744073709551616) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -1) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 1) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -1) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 1) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (*.f64 (sqrt.f64 1/2) F) B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -1) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 1) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 23572141880002632268174596694503536249885068343081838271768434604261992894045504230760302595954319234049842517572579061277879778753572698511500930094755253599284115170937880719295767662641280229897934066699061500654596915200) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -1) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 1) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 23572141880002632268174596694503536249885068343081838271768434604261992894045504230760302595954319234049842517572579061277879778753572698511500930094755253599284115170937880719295767662641280229897934066699061500654596915200) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -1) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 1) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -1461501637330903040/1461501637330902918203684832716283019655932542976) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 14615016373309028352/1461501637330902918203684832716283019655932542976) (/.f64 (.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -16595413740023749901639337550483222980391485562052648753799692152405744914203431592766065618770644018562588477231402629350501241273288097518957278195910649631767886881748415635094335965506830336) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F -2539304573309830064391098886358448718500799833017427086379774876439489176617978580327949705210411136270199233514620461275837867491328) (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (if (<=.f64 F -6422614617176819/356811923176489970264571492362373784095686656) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 14615016373309028352/1461501637330902918203684832716283019655932542976) (/.f64 (.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))))
(if (<=.f64 F -16595413740023749901639337550483222980391485562052648753799692152405744914203431592766065618770644018562588477231402629350501241273288097518957278195910649631767886881748415635094335965506830336) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F -2539304573309830064391098886358448718500799833017427086379774876439489176617978580327949705210411136270199233514620461275837867491328) (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (if (<=.f64 F -6422614617176819/356811923176489970264571492362373784095686656) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 14615016373309028352/1461501637330902918203684832716283019655932542976) (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))))
(if (<=.f64 F -16595413740023749901639337550483222980391485562052648753799692152405744914203431592766065618770644018562588477231402629350501241273288097518957278195910649631767886881748415635094335965506830336) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F -2539304573309830064391098886358448718500799833017427086379774876439489176617978580327949705210411136270199233514620461275837867491328) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 F -5784800237655953408/340282366920938463463374607431768211456) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -2407899124854297/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408) (+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 3291674441276213/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F))) (if (<=.f64 F 4201375747284717/5386379163185534471414773640069251753523547958090930032126239644742381726000210761844394533148250574056430560108726494938131898624188215155842882325147525990354149039235527268548263688073546462485804289777440129024) (+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))))))
(if (<=.f64 F -16595413740023749901639337550483222980391485562052648753799692152405744914203431592766065618770644018562588477231402629350501241273288097518957278195910649631767886881748415635094335965506830336) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F -2539304573309830064391098886358448718500799833017427086379774876439489176617978580327949705210411136270199233514620461275837867491328) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 F -5784800237655953408/340282366920938463463374607431768211456) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -2407899124854297/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408) (+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 3291674441276213/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F))) (if (<=.f64 F 4201375747284717/5386379163185534471414773640069251753523547958090930032126239644742381726000210761844394533148250574056430560108726494938131898624188215155842882325147525990354149039235527268548263688073546462485804289777440129024) (+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))))))
(if (<=.f64 F -16595413740023749901639337550483222980391485562052648753799692152405744914203431592766065618770644018562588477231402629350501241273288097518957278195910649631767886881748415635094335965506830336) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F -2539304573309830064391098886358448718500799833017427086379774876439489176617978580327949705210411136270199233514620461275837867491328) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 F -5784800237655953408/340282366920938463463374607431768211456) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -2407899124854297/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 3291674441276213/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F))) (if (<=.f64 F 4201375747284717/5386379163185534471414773640069251753523547958090930032126239644742381726000210761844394533148250574056430560108726494938131898624188215155842882325147525990354149039235527268548263688073546462485804289777440129024) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))))))
(if (<=.f64 F -16595413740023749901639337550483222980391485562052648753799692152405744914203431592766065618770644018562588477231402629350501241273288097518957278195910649631767886881748415635094335965506830336) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F -2539304573309830064391098886358448718500799833017427086379774876439489176617978580327949705210411136270199233514620461275837867491328) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 F -5784800237655953408/340282366920938463463374607431768211456) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F -2407899124854297/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 3291674441276213/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 1 F))) (if (<=.f64 F 4201375747284717/5386379163185534471414773640069251753523547958090930032126239644742381726000210761844394533148250574056430560108726494938131898624188215155842882325147525990354149039235527268548263688073546462485804289777440129024) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))))))
(if (<=.f64 F -16595413740023749901639337550483222980391485562052648753799692152405744914203431592766065618770644018562588477231402629350501241273288097518957278195910649631767886881748415635094335965506830336) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F -2539304573309830064391098886358448718500799833017427086379774876439489176617978580327949705210411136270199233514620461275837867491328) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (if (<=.f64 F -5784800237655953408/340282366920938463463374607431768211456) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 4201375747284717/5386379163185534471414773640069251753523547958090930032126239644742381726000210761844394533148250574056430560108726494938131898624188215155842882325147525990354149039235527268548263688073546462485804289777440129024) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (if (<=.f64 F 1035086016107194864903003251012947287190702924670514822232871469572161124735968756160413016838179496632823482242106765936865163419977780015715187871952530643777879926712394029114336334697364174574954840762351616) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B)) (/.f64 1 (sin.f64 B)))))))
(if (<=.f64 F -5784800237655953408/340282366920938463463374607431768211456) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F 14388460377493450/18446744073709551616) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B)) (.f64 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))) 1)))
(if (<=.f64 F -22653275378628996/1461501637330902918203684832716283019655932542976) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F 7247742189522453/11150372599265311570767859136324180752990208) (/.f64 (neg.f64 x) B) (*.f64 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))) 1)))
(if (<=.f64 F -22653275378628996/1461501637330902918203684832716283019655932542976) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -22653275378628996/1461501637330902918203684832716283019655932542976) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 7247742189522453/11150372599265311570767859136324180752990208) (/.f64 (neg.f64 x) B) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))))
(if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 14615016373309028352/1461501637330902918203684832716283019655932542976) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -2442545827273665/6427752177035961102167848369364650410088811975131171341205504) (/.f64 -1 B) (if (<=.f64 F 14615016373309028352/1461501637330902918203684832716283019655932542976) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -2442545827273665/6427752177035961102167848369364650410088811975131171341205504) (/.f64 -1 B) (/.f64 (neg.f64 x) B))
(/.f64 -1 B)

Outputs
(if (<=.f64 F -1048576000000000000/65536) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 620000000000000) (+.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 (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -16000000000000) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 620000000000000) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
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(if (<=.f64 F -5663318844657249/365375409332725729550921208179070754913983135744) (+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 B)))) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -5663318844657249/365375409332725729550921208179070754913983135744) (+.f64 -1 (-.f64 1 (/.f64 1 (sin.f64 B)))) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -22653275378628996/1461501637330902918203684832716283019655932542976) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -5663318844657249/365375409332725729550921208179070754913983135744) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 8920298079412249/1393796574908163946345982392040522594123776) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 7247742189522453/11150372599265311570767859136324180752990208) (/.f64 (neg.f64 x) B) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))))
(if (<=.f64 F -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 7247742189522453/11150372599265311570767859136324180752990208) (/.f64 (neg.f64 x) B) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x B))))
(if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 14615016373309028352/1461501637330902918203684832716283019655932542976) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 7136238463529799/713623846352979940529142984724747568191373312) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -2442545827273665/6427752177035961102167848369364650410088811975131171341205504) (/.f64 -1 B) (if (<=.f64 F 14615016373309028352/1461501637330902918203684832716283019655932542976) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -2442545827273665/6427752177035961102167848369364650410088811975131171341205504) (/.f64 -1 B) (if (<=.f64 F 7136238463529799/713623846352979940529142984724747568191373312) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -2442545827273665/6427752177035961102167848369364650410088811975131171341205504) (/.f64 -1 B) (/.f64 (neg.f64 x) B))
(/.f64 -1 B)

Compiler

Compiled 1263 to 829 computations (34.4% saved)

soundness423.0ms (0.9%)

Algorithm

3×	egg-herbie

Rules

824×	`times-frac_binary64`
693×	`distribute-rgt-in_binary64`
685×	`distribute-lft-in_binary64`
639×	`distribute-rgt-neg-in_binary64`
639×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	49	28
2	107	28
3	218	28
4	503	28
5	1505	28
6	3924	28
7	6363	28
8	7670	28
0	23	35
1	49	28
2	107	28
3	218	28
4	503	28
5	1505	28
6	3924	28
7	6363	28
8	7670	28
0	350	3726
1	1093	3265
2	4017	3021

Stop Event

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

Compiler

Compiled 710 to 517 computations (27.2% saved)

end458.0ms (1%)

Compiler: Compiled 1191 to 673 computations (43.5% saved)