Details

analyze100.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
75%	75%	25%	0%	0%	0%	0%	5
75%	75%	25%	0%	0%	0%	0%	6
78.1%	78.1%	21.9%	0%	0%	0%	0%	7
78.1%	78.1%	21.9%	0%	0%	0%	0%	8
78.1%	78.1%	21.9%	0%	0%	0%	0%	9
78.1%	78.1%	21.9%	0%	0%	0%	0%	10
78.1%	78.1%	21.9%	0%	0%	0%	0%	11
78.1%	78.1%	21.9%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample2.7s (29%)

Results

1.4s	2061×	body	2048	valid
394.0ms	1138×	body	1024	valid
388.0ms	3343×	body	256	valid
367.0ms	1600×	body	512	valid
96.0ms	114×	body	4096	valid

Bogosity

preprocess38.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

426×	`fma-def_binary64`
293×	`fma-neg_binary64`
85×	`div-sub_binary64`
78×	`associate-/l*_binary64`
63×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	40	12
4	73	12
5	125	12
6	192	12
7	318	12
8	623	12
9	1140	12
10	1698	12
11	1830	12
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

426×	`fma-def_binary64`
293×	`fma-neg_binary64`
85×	`div-sub_binary64`
78×	`associate-/l*_binary64`
63×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	16	12
2	27	12
3	40	12
4	73	12
5	125	12
6	192	12
7	318	12
8	623	12
9	1140	12
10	1698	12
11	1830	12

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

30.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 1 (cos.f64 x))
✓	16.6b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
1.0ms	x	@	0	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
0.0ms	x	@	0	(-.f64 1 (cos.f64 x))
0.0ms	x	@	inf	(-.f64 1 (cos.f64 x))

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`pow1_binary64`
819×	`add-log-exp_binary64`
818×	`log1p-expm1-u_binary64`
818×	`expm1-log1p-u_binary64`
801×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	152	18
2	2135	18

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

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

Outputs

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

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

simplify283.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-def_binary64`
477×	`fma-neg_binary64`
452×	`associate-*l/_binary64`
370×	`associate-*r/_binary64`
305×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1023
1	465	985
2	1762	945
3	7724	945

Stop Event

1×	node limit

Counts

78 → 94

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1)
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 1/2 x) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (.f64 x x))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval31.0ms (0.3%)

Compiler: Compiled 1264 to 756 computations (40.2% saved)

prune19.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	84	10	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	11	95

Error

0.0b

Counts

95 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.9b	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
	30.5b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x))
▶	17.2b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
	17.5b	(/.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 x x))
✓	30.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶	17.1b	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
▶	33.2b	(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
	30.2b	(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
	29.7b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶	30.5b	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
	32.2b	1/2

Compiler

Compiled 227 to 160 computations (29.5% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	16.5b	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
1.0ms	x	@	inf	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
1.0ms	x	@	0	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
0.0ms	x	@	inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
0.0ms	x	@	-inf	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
422×	`exp-prod_binary64`
315×	`pow-prod-down_binary64`
263×	`pow2_binary64`
186×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	201	28
2	2802	28

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

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

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

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

850×	`times-frac_binary64`
710×	`associate-/l*_binary64`
538×	`fma-def_binary64`
372×	`associate-*l/_binary64`
347×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	2052
1	606	2006
2	1839	2004

Stop Event

1×	node limit

Counts

108 → 132

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(+.f64 0 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(.f64 (sin.f64 x) (/.f64 1 (/.f64 x (/.f64 (tan.f64 (.f64 x 1/2)) x))))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))
(.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2))) 1)
(.f64 1 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 4)) (cbrt.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (pow.f64 x -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (pow.f64 x -2)))
(.f64 (.f64 (tan.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 x 1/2)) x))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(.f64 (pow.f64 x -2) (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) (/.f64 1 x))
(.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 x) (*.f64 x x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (.f64 x x)))
(.f64 (/.f64 1 x) (/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 (cbrt.f64 x) x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2) (.f64 (cbrt.f64 x) x)) (cbrt.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 x) x)) (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 2)
(pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) (pow.f64 x 6)) 1/3)
(pow.f64 (/.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2))))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2))))))
(neg.f64 (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 6))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2))))) 3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) 2))
(exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1) 1))
(+.f64 0 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1)
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1) 1))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(.f64 (.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (.f64 x x))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(+.f64 0 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 1/2 x))) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 1/2 x))) (pow.f64 x -2)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 1/2 x))) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(.f64 (sin.f64 x) (/.f64 1 (/.f64 x (/.f64 (tan.f64 (.f64 x 1/2)) x))))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(.f64 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2))) 1)
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(.f64 (tan.f64 (.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(.f64 1 (.f64 (sin.f64 x) (.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 x -2))))
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(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (.f64 1/2 x)) (sin.f64 (.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 1)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2) 1/2)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3) 1/3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 3)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 2)
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (exp.f64 1) (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x))))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) 3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))))) 1/3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 3))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 2))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) 1) 1))
(.f64 (sin.f64 x) (tan.f64 (.f64 1/2 x)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/24 (.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 -1/24 (.f64 x x))
0.0ms	x	@	0	(.f64 -1/24 (.f64 x x))
0.0ms	x	@	-inf	(.f64 -1/24 (.f64 x x))

rewrite35.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
403×	`add-log-exp_binary64`
403×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1150	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 -1/24 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))))

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1079×	`log-prod_binary64`
425×	`associate-l_binary64`
382×	`associate-r_binary64`
318×	`associate-+l+_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	102	206
2	360	191
3	2980	191
4	6248	191

Stop Event

1×	node limit

Counts

26 → 18

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 0 (.f64 -1/24 (.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x)))))
(-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1)
(pow.f64 (.f64 -1/24 (.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/24 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -1/24 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/24 (.f64 x x))))

Outputs
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(+.f64 0 (.f64 -1/24 (.f64 x x)))
(.f64 -1/24 (.f64 x x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (.f64 x x)))))
(.f64 -1/24 (.f64 x x))
(-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1)
(.f64 -1/24 (.f64 x x))
(pow.f64 (.f64 -1/24 (.f64 x x)) 1)
(.f64 -1/24 (.f64 x x))
(pow.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 3) 1/3)
(.f64 -1/24 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) 3)
(.f64 -1/24 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(.f64 -1/24 (.f64 x x))
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))
(.f64 -1/24 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))
(.f64 -1/24 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 3))
(.f64 -1/24 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 -1/24 (.f64 x x))))
(.f64 -1/24 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 -1/24 (.f64 x x))))
(.f64 -1/24 (.f64 x x))
(exp.f64 (log.f64 (.f64 -1/24 (.f64 x x))))
(.f64 -1/24 (.f64 x x))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 x (neg.f64 x)))
	1.3b	(-.f64 1 (cos.f64 x))
✓	16.8b	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
816×	`add-log-exp_binary64`
816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
108×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	218	19
2	3165	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1 (*.f64 x (neg.f64 x)))

Outputs

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

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

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

860×	`times-frac_binary64`
465×	`associate-/l*_binary64`
382×	`unswap-sqr_binary64`
367×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	999
1	406	989
2	1626	932

Stop Event

1×	node limit

Counts

80 → 95

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) 1)
(-.f64 (/.f64 0 (.f64 x x)) (/.f64 (+.f64 -1 (cos.f64 x)) (.f64 x x)))
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 x x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 x x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) -1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 x)) (.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) x))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 x)) (*.f64 (+.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (.f64 x x))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 x x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) x)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 x)) x)
(pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (/.f64 1 (.f64 x x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) 1)
(.f64 1 (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) 1)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (.f64 x x) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x x) -2)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(.f64 -1 (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(pow.f64 (*.f64 x x) -1)
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) 3)
(pow.f64 (/.f64 1 x) 2)
(sqrt.f64 (pow.f64 (*.f64 x x) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x x))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/24) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 -1/24 (.f64 x x)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))) 1)
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 0 (.f64 x x)) (/.f64 (+.f64 -1 (cos.f64 x)) (.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x x) (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x x) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (.f64 (.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) -1))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x x) (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) -1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1)) (/.f64 -1 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (*.f64 x x) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (neg.f64 (tan.f64 (/.f64 x 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 x)) (.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x x) (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 x)) (*.f64 (+.f64 1 (cos.f64 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x x) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x)
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (*.f64 x x))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (pow.f64 (*.f64 x x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (.f64 x x))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x x) (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 x x))) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x x) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 x)) x)
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2)
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (/.f64 1 (.f64 x x)) 3)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) 1)
(/.f64 1 (*.f64 x x))
(.f64 1 (/.f64 1 (.f64 x x)))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (.f64 x x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x x) -2)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (pow.f64 (.f64 x x) -2)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (.f64 x x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x x) -2)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 -1 (/.f64 1 (.f64 x x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x x) -2))
(/.f64 1 (*.f64 x x))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x x)))))
(/.f64 1 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3))
(/.f64 1 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(exp.f64 (neg.f64 (log.f64 (*.f64 x x))))
(/.f64 1 (*.f64 x x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
✓	0.1b	(/.f64 (-.f64 1 (cos.f64 x)) x)
✓	0.3b	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
	1.3b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series7.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
1.0ms	x	@	0	(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
1.0ms	x	@	-inf	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (cos.f64 x)) x)
0.0ms	x	@	0	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
382×	`exp-prod_binary64`
269×	`pow-prod-down_binary64`
252×	`pow2_binary64`
244×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	198	33
2	2741	33

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

Inputs
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))

Outputs

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

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

334×	`div-sub_binary64`
317×	`log-prod_binary64`
222×	`sqr-pow_binary64`
185×	`exp-prod_binary64`
179×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	5851
1	1332	5177
2	4426	3337

Stop Event

1×	node limit

Counts

227 → 298

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (.f64 1/120 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (cbrt.f64 (.f64 x x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -3/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 -1 (neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (/.f64 x (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (sqrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) x)
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -2) (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) -1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -1/2) 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (cos.f64 x) x)))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) 1))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1 (.f64 (/.f64 (cos.f64 x) x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) 1))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1 (.f64 (/.f64 (cos.f64 x) x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) 1))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1 (.f64 (/.f64 (cos.f64 x) x) 1)))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (.f64 (/.f64 1 x) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (.f64 (/.f64 1 x) (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 1 x) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (.f64 (/.f64 1 x) (cos.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 1 x) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (.f64 (/.f64 1 x) (cos.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2))))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) -2) (.f64 (/.f64 (cos.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 x))) (pow.f64 x -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 x))) (pow.f64 x -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 x))) (pow.f64 x -1/2) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2))))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
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(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (neg.f64 x)))
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(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
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(pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) 1))
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x)))
(+.f64 0 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 1 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (pow.f64 x 3/2))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 x x))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -2) (/.f64 x (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
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(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1/2) (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 x 1) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1) x)
(.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -3) -1/3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) -3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) -2)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(neg.f64 (/.f64 x (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) -1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1) -1))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7)))))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(fma.f64 1/6 (*.f64 x x) 2)
(fma.f64 (*.f64 x x) 1/6 2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (.f64 x x) 2) (.f64 (pow.f64 x 4) 1/120))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 4) 1/120 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/6 (.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (.f64 (pow.f64 x 4) 1/120)))
(+.f64 (fma.f64 (.f64 x x) 1/6 2) (fma.f64 (pow.f64 x 4) 1/120 (.f64 (pow.f64 x 6) 1/3024)))
(+.f64 (fma.f64 (.f64 x x) 1/6 2) (fma.f64 (pow.f64 x 6) 1/3024 (.f64 (pow.f64 x 4) 1/120)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (cbrt.f64 (.f64 x x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (cbrt.f64 (.f64 x x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -3/2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -3/2)) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 x -3/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -2))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -2))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 1 (/.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 -1 (neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (/.f64 x (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -2)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (sqrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -2) (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))) -2) (cbrt.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -3))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 1))
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(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -3) -1/3)
(.f64 (pow.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))) -3) -1/6) (pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -3) -1/6))
(.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -3) -1/6) (pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -3) -1/6))
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2) 1/2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 3) 1/3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) -3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) -3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) -2)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) -2)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)) 1/3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1) -1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 x (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 3))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 1))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) -1))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1/3))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 3))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 2))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 1) 1))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1) -1))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	0.4b	(+.f64 1 (cos.f64 x))
✓	16.5b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))

Compiler

Compiled 43 to 15 computations (65.1% saved)

series5.0ms (0.1%)

Counts

4 → 44

Calls

12 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`log-prod_binary64`
456×	`prod-diff_binary64`
291×	`pow2_binary64`
250×	`fma-def_binary64`
243×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	228	30
2	3540	30

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
(+.f64 1 (cos.f64 x))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x)) (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1))))))
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simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

494×	`div-sub_binary64`
277×	`times-frac_binary64`
251×	`cancel-sign-sub-inv_binary64`
249×	`log-prod_binary64`
209×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	3382
1	1115	3236
2	4744	2982

Stop Event

1×	node limit

Counts

226 → 305

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
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(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (fma.f64 (.f64 x x) -1/2 (.f64 (pow.f64 x 4) 1/24)))
(+.f64 (fma.f64 (.f64 x x) -1/2 2) (.f64 (pow.f64 x 4) 1/24))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 2 (fma.f64 (.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 (.f64 x x) -1/2 2) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720)))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) -1/3))
(fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (/.f64 1/2 (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) (.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (.f64 x x)) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/2 (.f64 (.f64 x x) (+.f64 1 (cos.f64 x)))) (/.f64 (.f64 -1/2 (cos.f64 (+.f64 x x))) (.f64 (*.f64 x x) (+.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (.f64 x x)) (/.f64 (.f64 -1/2 (cos.f64 (+.f64 x x))) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x)))))
(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (.f64 1 (pow.f64 x -2)) (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (tan.f64 (/.f64 x 2)) (pow.f64 x -2)))
(.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (neg.f64 (.f64 x x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (.f64 x x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) x))
(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(fma.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(fma.f64 2 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) 1/2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) -2)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) -2))
(/.f64 (+.f64 -1 (cos.f64 (+.f64 x x))) -2)
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (pow.f64 (cos.f64 x) 2) 2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 4) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/8 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) 3)) (+.f64 1/4 (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) 1/2) 2) (.f64 1/2 (.f64 (cos.f64 (+.f64 x x)) 1/2)))))
(/.f64 (-.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (+.f64 (+.f64 1/4 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 2)) (.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x))))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) -1/8)) (+.f64 1/4 (+.f64 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 x x))) 2) (*.f64 (cos.f64 (+.f64 x x)) 1/4))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))) -1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (sin.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 x))) 1))
(pow.f64 (sin.f64 x) 2)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x))))
(+.f64 1 (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)))))
(-.f64 1 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (cos.f64 (+.f64 x x)) (/.f64 (+.f64 1 (cos.f64 x)) 1/2)))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 -1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(-.f64 1 (cos.f64 x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(-.f64 1 (cos.f64 x))

eval549.0ms (6%)

Compiler: Compiled 17017 to 9652 computations (43.3% saved)

prune280.0ms (3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	922	12	934
Fresh	2	3	5
Picked	1	0	1
Done	3	2	5
Total	928	17	945

Error

Counts

945 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	29.7b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	29.7b	(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓	30.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	29.9b	(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
▶	30.4b	(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
▶	30.1b	(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
	30.3b	(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
✓	33.2b	(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
	30.2b	(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
	0.2b	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
	29.7b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶	0.2b	(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) (/.f64 1 x))
	17.1b	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
	17.1b	(.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))
▶	30.5b	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
▶	49.7b	(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
	32.2b	1/2

Compiler

Compiled 343 to 242 computations (29.4% saved)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

series8.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))
1.0ms	x	@	inf	(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))
1.0ms	x	@	inf	(/.f64 x (sin.f64 x))
1.0ms	x	@	-inf	(/.f64 x (sin.f64 x))
0.0ms	x	@	0	(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
301×	`pow2_binary64`
255×	`pow-unpow_binary64`
218×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	241	37
2	3415	37

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) (/.f64 1 x))
(/.f64 x (sin.f64 x))

Outputs

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

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

448×	`log-prod_binary64`
320×	`div-sub_binary64`
290×	`cube-prod_binary64`
265×	`times-frac_binary64`
251×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	2824
1	947	2742
2	3810	2742

Stop Event

1×	node limit

Counts

178 → 211

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
(+.f64 0 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))
(.f64 (tan.f64 (.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) x) 1))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) x))
(.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(.f64 1 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(.f64 (/.f64 1 x) (/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 (pow.f64 (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 x))) -2)) (cbrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 x))) -2)) (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 1))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 1))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) x)))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x 1/2)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) x) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) 1) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) x) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -2) (/.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 x (sin.f64 x)) -1/2) (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) (sin.f64 x))
(.f64 (.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 x))) 1) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 x) (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 x))) -2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 1))
(+.f64 0 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)))) 1)
(/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (.f64 x (/.f64 x (sin.f64 x))) 1))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 x)))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(/.f64 1 (.f64 (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x))
(/.f64 1 (.f64 x (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 1 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(/.f64 1 (/.f64 (.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 (/.f64 1 x) (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (sin.f64 x))) -2)) (/.f64 x (cbrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(/.f64 -1 (.f64 (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 x)))
(/.f64 -1 (.f64 (neg.f64 x) (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (neg.f64 (.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) 1) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) -1) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -1) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 x)))
(/.f64 (.f64 -1 (neg.f64 (tan.f64 (.f64 x 1/2)))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) x)
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 x)) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) -1) (neg.f64 x))
(/.f64 (.f64 (/.f64 1 x) (neg.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 (neg.f64 x) (sin.f64 x)))
(pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (.f64 (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) -1)
(pow.f64 (.f64 x (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) -1)
(pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) -1)
(pow.f64 (/.f64 (.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (.f64 x 1/2))) -1)
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) -1)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))) 1))
(+.f64 0 (/.f64 x (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)
(*.f64 x (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(*.f64 1 (/.f64 x (sin.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 x (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 x (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 x (sin.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 x (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 x (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 x (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 x (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 x (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 x (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 x (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (.f64 x (cos.f64 (.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) 1/6 1)
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
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(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 -1 (.f64 (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 -1 (.f64 (neg.f64 x) (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (neg.f64 (.f64 x (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (neg.f64 x) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) 1) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) -1) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) -1) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (.f64 -1 (neg.f64 (tan.f64 (.f64 x 1/2)))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) x)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) x) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 x)) (/.f64 (neg.f64 x) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (.f64 -1 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (.f64 (.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) -1) (neg.f64 x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (.f64 (/.f64 1 x) (neg.f64 (tan.f64 (.f64 x 1/2)))) (/.f64 (neg.f64 x) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 1)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 2) 1/2)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 3) 1/3)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))) 3)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))) 2)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)) 1/3)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (.f64 (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) -1)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (.f64 x (/.f64 x (.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) -1)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (/.f64 x (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x))) -1)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (/.f64 (.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (.f64 x 1/2))) -1)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) -1)
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 2))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x)) 3))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(exp.f64 (log.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))) 1))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 1/2 x)) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(+.f64 0 (/.f64 x (sin.f64 x)))
(/.f64 x (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)
(/.f64 x (sin.f64 x))
(*.f64 x (/.f64 1 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(*.f64 1 (/.f64 x (sin.f64 x)))
(/.f64 x (sin.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 x (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) -2) 1/2)
(/.f64 x (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)
(/.f64 x (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)
(/.f64 x (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)
(/.f64 x (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) x) -1)
(/.f64 x (sin.f64 x))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(/.f64 x (sin.f64 x))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) -1)
(/.f64 x (sin.f64 x))
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) -2))
(/.f64 x (sin.f64 x))
(log.f64 (exp.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))
(/.f64 x (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 x (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(exp.f64 (log.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))
(/.f64 x (sin.f64 x))

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (*.f64 x (neg.f64 x)))
✓	32.4b	(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))

Compiler

Compiled 43 to 23 computations (46.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (neg.f64 (*.f64 (*.f64 1/2 x) x)) (/.f64 1 (*.f64 x (neg.f64 x))))

0.0ms

inf

(*.f64 (neg.f64 (*.f64 (*.f64 1/2 x) x)) (/.f64 1 (*.f64 x (neg.f64 x))))

0.0ms

-inf

(*.f64 (neg.f64 (*.f64 (*.f64 1/2 x) x)) (/.f64 1 (*.f64 x (neg.f64 x))))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
773×	`add-log-exp_binary64`
773×	`log1p-expm1-u_binary64`
773×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	233	7
2	3233	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))

Outputs

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

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

814×	`times-frac_binary64`
687×	`unswap-sqr_binary64`
399×	`associate-/l*_binary64`
331×	`associate-l_binary64`
325×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	134
1	201	74
2	969	68
3	5127	68

Stop Event

1×	node limit

Counts

40 → 34

Calls

Call 1

Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(-.f64 0 (/.f64 (*.f64 1/2 x) x))
(-.f64 (+.f64 1 (/.f64 (*.f64 1/2 x) x)) 1)
(-.f64 (/.f64 0 (.f64 x x)) (/.f64 (.f64 1/2 x) x))
(/.f64 (*.f64 1/2 x) x)
(/.f64 (.f64 1/2 (.f64 x x)) (*.f64 x x))
(/.f64 1 (/.f64 (.f64 x x) (.f64 1/2 (*.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 2) (/.f64 (.f64 x x) (cbrt.f64 (.f64 1/2 (*.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 1/2) x) (/.f64 (.f64 x x) (*.f64 (sqrt.f64 1/2) x)))
(/.f64 -1 (/.f64 (.f64 x x) (.f64 1/2 (*.f64 x x))))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) 1) (*.f64 x x))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (.f64 (/.f64 -1 x) (.f64 1/2 (*.f64 x x))) x)
(/.f64 (.f64 (.f64 1/2 (*.f64 x x)) (/.f64 -1 x)) x)
(pow.f64 (/.f64 (*.f64 1/2 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 3)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)
(neg.f64 (/.f64 (*.f64 1/2 x) x))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 1/2 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (*.f64 x x)) 3) (pow.f64 (/.f64 (/.f64 -1 x) x) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 -1 x) x) 3) (pow.f64 (.f64 1/2 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 x) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) x)))

Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(-.f64 0 (/.f64 (*.f64 1/2 x) x))
(/.f64 (neg.f64 (*.f64 1/2 x)) x)
-1/2
(-.f64 (+.f64 1 (/.f64 (*.f64 1/2 x) x)) 1)
1/2
(-.f64 (/.f64 0 (.f64 x x)) (/.f64 (.f64 1/2 x) x))
(/.f64 (neg.f64 (*.f64 1/2 x)) x)
-1/2
(/.f64 (*.f64 1/2 x) x)
1/2
(/.f64 (.f64 1/2 (.f64 x x)) (*.f64 x x))
1/2
(/.f64 1 (/.f64 (.f64 x x) (.f64 1/2 (*.f64 x x))))
1/2
(/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 2) (/.f64 (.f64 x x) (cbrt.f64 (.f64 1/2 (*.f64 x x)))))
1/2
(/.f64 (.f64 (sqrt.f64 1/2) x) (/.f64 (.f64 x x) (*.f64 (sqrt.f64 1/2) x)))
1/2
(/.f64 -1 (/.f64 (.f64 x x) (.f64 1/2 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 1/2 x)) x)
-1/2
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
1/2
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) 1) (*.f64 x x))
1/2
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2)) (pow.f64 (cbrt.f64 x) 2))
1/2
(/.f64 (.f64 (/.f64 -1 x) (.f64 1/2 (*.f64 x x))) x)
(/.f64 (neg.f64 (*.f64 1/2 x)) x)
-1/2
(/.f64 (.f64 (.f64 1/2 (*.f64 x x)) (/.f64 -1 x)) x)
(/.f64 (neg.f64 (*.f64 1/2 x)) x)
-1/2
(pow.f64 (/.f64 (*.f64 1/2 x) x) 1)
1/2
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3) 1/3)
1/2
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 3)
1/2
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)
1/2
(neg.f64 (/.f64 (*.f64 1/2 x) x))
(/.f64 (neg.f64 (*.f64 1/2 x)) x)
-1/2
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 2))
1/2
(log.f64 (exp.f64 (/.f64 (*.f64 1/2 x) x)))
1/2
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3))
1/2
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (*.f64 x x) 3)))
1/2
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (*.f64 x x)) 3) (pow.f64 (/.f64 (/.f64 -1 x) x) 3)))
(cbrt.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (/.f64 -1 (.f64 x x)) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x 6) 1/8) (/.f64 -1 (pow.f64 x 6))))
(cbrt.f64 (*.f64 (pow.f64 x 6) (/.f64 -1/8 (pow.f64 x 6))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 -1 x) x) 3) (pow.f64 (.f64 1/2 (*.f64 x x)) 3)))
(cbrt.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (/.f64 -1 (.f64 x x)) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x 6) 1/8) (/.f64 -1 (pow.f64 x 6))))
(cbrt.f64 (*.f64 (pow.f64 x 6) (/.f64 -1/8 (pow.f64 x 6))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) x)))
1/2
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 x) x)))
1/2
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) x)))
1/2

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
✓	1.3b	(+.f64 -1 (cos.f64 x))
✓	13.2b	(/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`log-prod_binary64`
352×	`exp-prod_binary64`
337×	`prod-exp_binary64`
263×	`pow-prod-down_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	180	32
2	2561	31

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))
(+.f64 -1 (cos.f64 x))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))

Outputs

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

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-def_binary64`
455×	`unswap-sqr_binary64`
433×	`distribute-rgt-in_binary64`
415×	`distribute-lft-in_binary64`
223×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	2851
1	971	2671
2	2861	2605

Stop Event

1×	node limit

Counts

195 → 261

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/3024 (pow.f64 x 6)))) 2)
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
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(fma.f64 -1 (.f64 -1 (pow.f64 x -2)) (.f64 (cos.f64 x) (*.f64 -1 (pow.f64 x -2))))
(fma.f64 (cos.f64 x) (.f64 -1 (pow.f64 x -2)) (.f64 -1 (*.f64 -1 (pow.f64 x -2))))
(fma.f64 (.f64 -1 (pow.f64 x -2)) -1 (.f64 (*.f64 -1 (pow.f64 x -2)) (cos.f64 x)))
(fma.f64 (.f64 -1 (pow.f64 x -2)) (cos.f64 x) (.f64 (*.f64 -1 (pow.f64 x -2)) -1))

Outputs
-2
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2)
(fma.f64 -1/6 (*.f64 x x) -2)
(-.f64 (+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2))) 2)
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (fma.f64 -1/6 (.f64 x x) -2))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) -2))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) -2))
(-.f64 (+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/3024 (pow.f64 x 6)))) 2)
(+.f64 (fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/6 (.f64 x x) (.f64 -1/3024 (pow.f64 x 6)))) -2)
(+.f64 -2 (fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/6 (.f64 x x) (.f64 -1/3024 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/3024 (pow.f64 x 6) -2)))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 x x) -1/2)
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 (.f64 x x) -1/2))
(fma.f64 (.f64 x x) -1/2 (.f64 (pow.f64 x 4) 1/24))
(fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 4) 1/24))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 6) -1/720)))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (.f64 x x) -1/2 (.f64 (pow.f64 x 6) -1/720)))
(fma.f64 x (.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -1/720)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (.f64 x x) -1/2 (fma.f64 (pow.f64 x 6) -1/720 (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (fma.f64 1/40320 (pow.f64 x 8) (.f64 x (.f64 x -1/2)))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 (.f64 x x) -1/24))
(fma.f64 (*.f64 x x) -1/24 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 (pow.f64 x 4) 1/720)))
(+.f64 1/2 (fma.f64 (.f64 x x) -1/24 (.f64 (pow.f64 x 4) 1/720)))
(fma.f64 x (*.f64 x -1/24) (fma.f64 (pow.f64 x 4) 1/720 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 (pow.f64 x 4) 1/720))))
(+.f64 1/2 (fma.f64 (.f64 x x) -1/24 (fma.f64 (pow.f64 x 4) 1/720 (.f64 (pow.f64 x 6) -1/40320))))
(+.f64 1/2 (fma.f64 (pow.f64 x 6) -1/40320 (fma.f64 (pow.f64 x 4) 1/720 (.f64 (.f64 x x) -1/24))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 0 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 (cos.f64 x) -1))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 x x) (+.f64 (cos.f64 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 (cos.f64 x) -1))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 x x) (+.f64 (cos.f64 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)))) 1)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 x (/.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(.f64 x (.f64 x (/.f64 1 (+.f64 -1 (cos.f64 x)))))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(.f64 (.f64 x x) (/.f64 1 (+.f64 -1 (cos.f64 x))))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)) 1)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 1 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 -1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 4)))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 (cos.f64 x) -1))) 4)))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 (cos.f64 x) -1))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 4)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 (cos.f64 x) -1))) 4)))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 (cos.f64 x) -1))) 4)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (fma.f64 -1 (cos.f64 x) 1)))
(/.f64 (.f64 (.f64 x (neg.f64 x)) 1) (fma.f64 -1 (cos.f64 x) 1))
(/.f64 x (/.f64 (fma.f64 -1 (cos.f64 x) 1) (neg.f64 x)))
(*.f64 x (/.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (.f64 x x))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 -1 (cos.f64 x))))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) x)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 -1 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) -2) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) -2) (/.f64 x (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 (cos.f64 x) -1)))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2))
(.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) -1/2) (/.f64 (.f64 x x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(.f64 (pow.f64 (+.f64 (cos.f64 x) -1) -1/2) (/.f64 (.f64 x x) (sqrt.f64 (+.f64 (cos.f64 x) -1))))
(/.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 (cos.f64 x) -1) -1/2)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1) (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 (.f64 x x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1) 1))
(*.f64 (/.f64 x (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1))
(/.f64 (*.f64 x x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1)))
(.f64 (.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1))
(.f64 (/.f64 (.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 x (/.f64 (pow.f64 (sin.f64 x) 2) x)) (-.f64 -1 (cos.f64 x)))
(.f64 (.f64 (/.f64 x (pow.f64 (sin.f64 x) 2)) x) (-.f64 -1 (cos.f64 x)))
(pow.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)) 1)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 4) 1/2)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 6) 1/3)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))) 3)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 2)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) -1)
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))))
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (+.f64 -1 (cos.f64 x)) (.f64 -1 (pow.f64 x -2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 1 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)) -2)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))) -2)))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)) -2)) (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))) -2)))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) -2)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x))) (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (.f64 -1 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (/.f64 -1 (.f64 x (neg.f64 x))) (fma.f64 -1 (cos.f64 x) 1))
(.f64 (fma.f64 -1 (cos.f64 x) 1) (/.f64 -1 (.f64 x (neg.f64 x))))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (neg.f64 x)))
(.f64 (.f64 (*.f64 -1 (pow.f64 x -2)) 1) (+.f64 -1 (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (.f64 (*.f64 -1 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(.f64 (.f64 (*.f64 -1 (pow.f64 x -2)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)) -2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))) -2))
(fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))) 3)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))) 2)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 -1 (cos.f64 x) 1)) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x))))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 -2 (log.f64 x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 -2 (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x))))) 2)) (cbrt.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 -2 (log.f64 x))))) (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 -2 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x)))))) (sqrt.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x))))))
(neg.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x)) -2))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))) -2))
(fabs.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x)))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x)) 3))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x))))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x))) 1))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x)))) 1/3))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x)))) 3))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (.f64 x x)))) 2))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(pow.f64 (exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (neg.f64 (cos.f64 x))))) -1)
(/.f64 1 (/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x))) 1) 1))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.f64 x) 2)))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 (.f64 2 (log.f64 x)) 1)))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 -1 (cos.f64 x))) 1) (log.f64 (.f64 -1 (pow.f64 x -2)))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (+.f64 (log.f64 (.f64 -1 (pow.f64 x -2))) (.f64 (log.f64 (+.f64 -1 (cos.f64 x))) 1)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 -1 (.f64 -1 (pow.f64 x -2)) (.f64 (cos.f64 x) (*.f64 -1 (pow.f64 x -2))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 (cos.f64 x) (.f64 -1 (pow.f64 x -2)) (.f64 -1 (*.f64 -1 (pow.f64 x -2))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 (.f64 -1 (pow.f64 x -2)) -1 (.f64 (*.f64 -1 (pow.f64 x -2)) (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 (.f64 -1 (pow.f64 x -2)) (cos.f64 x) (.f64 (*.f64 -1 (pow.f64 x -2)) -1))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1 (*.f64 x x))
	1.3b	(-.f64 1 (cos.f64 x))
✓	16.8b	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
0.0ms	x	@	inf	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
0.0ms	x	@	-inf	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
0.0ms	x	@	0	(/.f64 -1 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 -1 (*.f64 x x))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
885×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	210	18
2	2779	18

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
(/.f64 -1 (*.f64 x x))

Outputs

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

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

657×	`times-frac_binary64`
506×	`unswap-sqr_binary64`
497×	`associate-/l*_binary64`
401×	`distribute-rgt-in_binary64`
396×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1067
1	423	1027
2	1785	950

Stop Event

1×	node limit

Counts

82 → 89

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(-.f64 0 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (.f64 (.f64 x x) -1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 x (neg.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 x x) -1)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 (*.f64 x x) -1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) -1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 -1 x)) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) x))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 x)) (*.f64 (+.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (pow.f64 x -2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (pow.f64 x -2))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)
(pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2)
(neg.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2) (pow.f64 x 4)))
(log.f64 (exp.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1)
(*.f64 1 (neg.f64 (pow.f64 x -2)))
(*.f64 -1 (pow.f64 x -2))
(*.f64 (neg.f64 (pow.f64 x -2)) 1)
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(*.f64 (pow.f64 x -2) -1)
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(pow.f64 (neg.f64 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(pow.f64 (*.f64 x (neg.f64 x)) -1)
(pow.f64 (.f64 (.f64 x x) -1) -1)
(neg.f64 (pow.f64 x -2))
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) (.f64 -1/40320 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(-.f64 0 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (.f64 (.f64 x x) -1))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 x) 2) 1))))
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 x x) -1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 x) 2) 1))))
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x (neg.f64 x))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) 1)))
(.f64 (/.f64 (sin.f64 x) (.f64 x (+.f64 (cos.f64 x) 1))) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) 1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 (*.f64 x x) -1)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) 1)))
(.f64 (/.f64 (sin.f64 x) (.f64 x (+.f64 (cos.f64 x) 1))) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 x) 2) 1))))
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) -1) (.f64 (+.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) 1)))
(.f64 (/.f64 (sin.f64 x) (.f64 x (+.f64 (cos.f64 x) 1))) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
(/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 -1 x)) (.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 x) 2) 1))))
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 x)) (*.f64 (+.f64 1 (cos.f64 x)) x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) 1)))
(.f64 (/.f64 (sin.f64 x) (.f64 x (+.f64 (cos.f64 x) 1))) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (*.f64 x x))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x)
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (pow.f64 x -2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (.f64 (.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 x) 2) 1))))
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 (fma.f64 (+.f64 (cos.f64 x) 1) (cos.f64 x) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (pow.f64 x -2))) (+.f64 1 (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) 1)))
(.f64 (/.f64 (sin.f64 x) (.f64 x (+.f64 (cos.f64 x) 1))) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))) 3)
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2)
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2) (pow.f64 x 4)))
(fabs.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)))
(cbrt.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)))
(cbrt.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 1 (neg.f64 (pow.f64 x -2)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 -1 (pow.f64 x -2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (neg.f64 (pow.f64 x -2)) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) -1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (neg.f64 (pow.f64 x -2)) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (*.f64 x (neg.f64 x)) -1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) -1) -1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (*.f64 x x))
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (cos.f64 x) x)
✓	0.1b	(/.f64 (/.f64 (cos.f64 x) x) x)
✓	20.5b	(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))

Compiler

Compiled 28 to 10 computations (64.3% saved)

series7.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
1.0ms	x	@	-inf	(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
1.0ms	x	@	-inf	(/.f64 (cos.f64 x) x)
0.0ms	x	@	0	(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
0.0ms	x	@	inf	(/.f64 (cos.f64 x) x)

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`prod-diff_binary64`
481×	`log-prod_binary64`
300×	`pow-prod-down_binary64`
249×	`pow2_binary64`
222×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	188	30
2	2791	30

Stop Event

1×	node limit

Counts

3 → 280

Calls

Call 1

Inputs
(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.f64 x) x)

Outputs

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simplify188.0ms (2%)

Algorithm

1×	egg-herbie

Rules

759×	`fma-neg_binary64`
227×	`div-sub_binary64`
199×	`+-commutative_binary64`
194×	`fma-def_binary64`
192×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	651	10255
1	1651	7860
2	5271	7860

Stop Event

1×	node limit

Counts

308 → 424

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
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(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1 (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (pow.f64 x -2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)) (.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1 (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2)))) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (pow.f64 x -2))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x) (pow.f64 x -2))
(fma.f64 (-.f64 (pow.f64 x -6) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6)) (/.f64 1 (fma.f64 (.f64 (cos.f64 x) (pow.f64 x -2)) (fma.f64 (cos.f64 x) (pow.f64 x -2) (pow.f64 x -2)) (pow.f64 x -4))) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) x) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 x -6) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6)) (/.f64 1 (fma.f64 (.f64 (cos.f64 x) (pow.f64 x -2)) (fma.f64 (cos.f64 x) (pow.f64 x -2) (pow.f64 x -2)) (pow.f64 x -4))) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 x -6) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6)) (/.f64 1 (fma.f64 (.f64 (cos.f64 x) (pow.f64 x -2)) (fma.f64 (cos.f64 x) (pow.f64 x -2) (pow.f64 x -2)) (pow.f64 x -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 x -6) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6)) (/.f64 1 (fma.f64 (.f64 (cos.f64 x) (pow.f64 x -2)) (fma.f64 (cos.f64 x) (pow.f64 x -2) (pow.f64 x -2)) (pow.f64 x -4))) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 x -4) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (/.f64 1 (fma.f64 (cos.f64 x) (pow.f64 x -2) (pow.f64 x -2))) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 x -4) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (/.f64 1 (fma.f64 (cos.f64 x) (pow.f64 x -2) (pow.f64 x -2))) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1 (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 x -4) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (/.f64 1 (fma.f64 (cos.f64 x) (pow.f64 x -2) (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 x -4) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (/.f64 1 (fma.f64 (cos.f64 x) (pow.f64 x -2) (pow.f64 x -2))) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 -1 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x))) 2) (cbrt.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x))) (pow.f64 x -2))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x))) (sqrt.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x))) (pow.f64 x -2))
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (pow.f64 x -2))
(fma.f64 (pow.f64 (cbrt.f64 x) -4) (cbrt.f64 (pow.f64 x -2)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 x) -4) (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1))
(fma.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) 1 (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (cos.f64 x)) x)) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)) (.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))) (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2))
(+.f64 0 (*.f64 (cos.f64 x) (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) 1)
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(.f64 (.f64 (cos.f64 x) (pow.f64 x -2)) 1)
(.f64 1 (.f64 (cos.f64 x) (pow.f64 x -2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 (cos.f64 x) x) (cbrt.f64 x)))
(.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (cos.f64 x) x) (sqrt.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (pow.f64 x -3/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (cos.f64 x) 1) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 1) (/.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) x))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)
(pow.f64 (*.f64 x (/.f64 x (cos.f64 x))) -1)
(pow.f64 (/.f64 (*.f64 x x) (cos.f64 x)) -1)
(pow.f64 (/.f64 (*.f64 x (/.f64 x (cos.f64 x))) 1) -1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)
(neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (pow.f64 x -2))) 1))
(+.f64 0 (/.f64 (cos.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) x))) 1)
(*.f64 (cos.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (cos.f64 x) x) 1)
(*.f64 1 (/.f64 (cos.f64 x) x))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cos.f64 x) (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (cos.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (cos.f64 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (cos.f64 x)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)
(pow.f64 (/.f64 x (cos.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (cos.f64 x)) 1) -1)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 x (cos.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) x)) 1))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6)))))
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(/.f64 (*.f64 (cos.f64 x) (/.f64 (/.f64 1 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (cos.f64 x) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (cos.f64 x) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) 1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) 1/2)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) 3)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(pow.f64 (*.f64 x (/.f64 x (cos.f64 x))) -1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (*.f64 x x) (cos.f64 x)) -1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (*.f64 x (/.f64 x (cos.f64 x))) 1) -1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) 3)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (pow.f64 x -2))) 1))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(+.f64 0 (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) x))) 1)
(/.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) (/.f64 1 x))
(/.f64 (cos.f64 x) x)
(*.f64 (/.f64 (cos.f64 x) x) 1)
(/.f64 (cos.f64 x) x)
(*.f64 1 (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 x)))
(/.f64 (cos.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2))
(/.f64 (cos.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cos.f64 x) (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(/.f64 (cos.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (cos.f64 x) x)
(*.f64 (/.f64 1 x) (cos.f64 x))
(/.f64 (cos.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 x -1/2)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(/.f64 (cos.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(/.f64 (cos.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (cos.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (cos.f64 x) x) 1)
(/.f64 (cos.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) 1/2)
(/.f64 (cos.f64 x) x)
(pow.f64 (pow.f64 (/.f64 x (cos.f64 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x (cos.f64 x)) -3))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 3)
(/.f64 (cos.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)
(/.f64 (cos.f64 x) x)
(pow.f64 (/.f64 x (cos.f64 x)) -1)
(/.f64 (cos.f64 x) x)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))
(pow.f64 (/.f64 (/.f64 x (cos.f64 x)) 1) -1)
(/.f64 (cos.f64 x) x)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
(/.f64 (cos.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2))
(/.f64 (cos.f64 x) x)
(log.f64 (exp.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) x))))
(/.f64 (cos.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 x (cos.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(exp.f64 (log.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) x)) 1))
(/.f64 (cos.f64 x) x)

eval453.0ms (4.9%)

Compiler: Compiled 22753 to 12530 computations (44.9% saved)

prune277.0ms (3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1082	7	1089
Fresh	3	7	10
Picked	0	1	1
Done	2	4	6
Total	1087	19	1106

Error

Counts

1106 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.7b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	48.9b	(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
▶	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
✓	30.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶	29.7b	(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
	29.9b	(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
✓	30.4b	(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
✓	30.1b	(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	30.3b	(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
✓	33.2b	(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
	30.2b	(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
	0.2b	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
	29.7b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶	32.3b	(.f64 (.f64 1/2 x) (/.f64 1 x))
	17.1b	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
✓	30.5b	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
	30.3b	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 -1 x) (/.f64 1 x)))
	49.7b	(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
	32.2b	1/2

Compiler

Compiled 339 to 238 computations (29.8% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
✓	0.1b	(/.f64 (tan.f64 (*.f64 x 1/2)) x)
	0.1b	(/.f64 x (sin.f64 x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (tan.f64 (*.f64 x 1/2)) x)
0.0ms	x	@	inf	(/.f64 (tan.f64 (*.f64 x 1/2)) x)
0.0ms	x	@	0	(/.f64 (tan.f64 (*.f64 x 1/2)) x)
0.0ms	x	@	inf	(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
0.0ms	x	@	-inf	(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`log-prod_binary64`
459×	`exp-prod_binary64`
331×	`pow-prod-down_binary64`
275×	`pow2_binary64`
208×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	202	26
2	2970	26

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (sqrt.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change 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simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-def_binary64`
509×	`unswap-sqr_binary64`
297×	`log-prod_binary64`
211×	`div-sub_binary64`
173×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	2417
1	798	2332
2	2783	2328

Stop Event

1×	node limit

Counts

136 → 175

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(+.f64 0 (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (/.f64 1 x))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) 1)
(.f64 1 (/.f64 (tan.f64 (.f64 x 1/2)) x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 (neg.f64 x)))
(.f64 (/.f64 1 x) (tan.f64 (.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 x)))
(.f64 (pow.f64 x -1/2) (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)
(pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)))) (sqrt.f64 (log.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x))))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 x (tan.f64 (.f64 x 1/2)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1) 1))
(+.f64 0 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))
(.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))) 1)
(.f64 1 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) -2)) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 2) (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)))) (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)))
(.f64 (/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) x) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 x 1/2)) x))
(.f64 (/.f64 1 x) (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) 1) (/.f64 (/.f64 1 x) (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 1) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) x) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 2) x) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 (sin.f64 x))))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -2) (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 x (sin.f64 x)) -1/2) (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) 1) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)) 1) (sin.f64 x))
(.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) -2) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))) 2)
(pow.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(pow.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)) 1/3)
(pow.f64 (.f64 (/.f64 x (tan.f64 (.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1)
(pow.f64 (/.f64 (.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (.f64 x 1/2))) -1)
(pow.f64 (/.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (neg.f64 x) (sin.f64 x))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) -2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) x)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))) 1) 1))

Outputs
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 1/24 (.f64 x x)))
(fma.f64 1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/24 (.f64 x x) (.f64 1/240 (pow.f64 x 4))))
(fma.f64 1/24 (*.f64 x x) (fma.f64 1/240 (pow.f64 x 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 1/24 (.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (.f64 1/240 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 1/24 (.f64 x x) (fma.f64 1/240 (pow.f64 x 4) (.f64 17/40320 (pow.f64 x 6)))))
(+.f64 1/2 (fma.f64 1/240 (pow.f64 x 4) (fma.f64 17/40320 (pow.f64 x 6) (.f64 1/24 (.f64 x x)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x (cos.f64 (*.f64 1/2 x))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 (.f64 x x) -1/24))
(fma.f64 (*.f64 x x) -1/24 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 (pow.f64 x 4) 1/720)))
(+.f64 1/2 (fma.f64 (.f64 x x) -1/24 (.f64 (pow.f64 x 4) 1/720)))
(fma.f64 (pow.f64 x 4) 1/720 (fma.f64 (*.f64 x x) -1/24 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 (pow.f64 x 4) 1/720))))
(+.f64 1/2 (fma.f64 (.f64 x x) -1/24 (fma.f64 (pow.f64 x 4) 1/720 (.f64 (pow.f64 x 6) -1/40320))))
(+.f64 (fma.f64 (.f64 x x) -1/24 1/2) (fma.f64 (pow.f64 x 6) -1/40320 (.f64 (pow.f64 x 4) 1/720)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (.f64 (.f64 x x) (cos.f64 (.f64 1/2 x))) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (.f64 (.f64 x x) (cos.f64 (.f64 1/2 x))) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (.f64 (.f64 x x) (cos.f64 (.f64 1/2 x))) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 1/2 x))) (/.f64 (sin.f64 (.f64 1/2 x)) (.f64 x x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (/.f64 (.f64 (.f64 x x) (cos.f64 (.f64 1/2 x))) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 x))) (.f64 (cos.f64 (.f64 1/2 x)) (pow.f64 x 2)))
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(/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (cbrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (.f64 x (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -2) (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -2) (/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) x) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -2) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x (cbrt.f64 (/.f64 x (sin.f64 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x (/.f64 x (sin.f64 x)))))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (cbrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (.f64 x (cbrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (.f64 x (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 x (sin.f64 x)) -1/2) (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 x (sin.f64 x)) -1/2) (/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) x) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 x (sin.f64 x)) -1/2) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x (sqrt.f64 (/.f64 x (sin.f64 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (.f64 x (sqrt.f64 (/.f64 x (sin.f64 x)))))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) 1) (/.f64 (sin.f64 x) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)) 1) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))) 1)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (pow.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) -2) 1/2)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))) 3) 1/3)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))) 3)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))) 2)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) -1)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)) 1/3)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (.f64 (/.f64 x (tan.f64 (.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (/.f64 (.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (.f64 x 1/2))) -1)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (/.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) 1) -1)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x x))))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x x)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))))) (sqrt.f64 (log.f64 (/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x)))))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (neg.f64 x) (sin.f64 x))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (.f64 x 1/2))) x) -2))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))) 3))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x)))) 1))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x))))) 1/3))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))) 3))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x x))))) 2))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) x)) -1))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))) 1) 1))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(/.f64 (tan.f64 (.f64 1/2 x)) (.f64 x (/.f64 x (sin.f64 x))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 1/2 x) (/.f64 1 x))

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (.f64 1/2 x) (/.f64 1 x))
0.0ms	x	@	0	(.f64 (.f64 1/2 x) (/.f64 1 x))
0.0ms	x	@	-inf	(.f64 (.f64 1/2 x) (/.f64 1 x))

rewrite37.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`pow1_binary64`
526×	`add-log-exp_binary64`
526×	`log1p-expm1-u_binary64`
526×	`expm1-log1p-u_binary64`
514×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	144	1
2	1734	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (.f64 1/2 x) (/.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	0.1b	(/.f64 (-.f64 1 (cos.f64 x)) x)
	1.3b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 23 to 12 computations (47.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.0ms	x	@	inf	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.0ms	x	@	-inf	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`pow1_binary64`
888×	`add-log-exp_binary64`
888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	155	12
2	2275	12

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Outputs

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

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

838×	`log-div_binary64`
485×	`associate-*l/_binary64`
413×	`associate-/l*_binary64`
352×	`associate-*r/_binary64`
342×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	708
1	338	697
2	1154	695
3	7069	695

Stop Event

1×	node limit

Counts

52 → 61

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) (.f64 -1/40320 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) x)
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (/.f64 (/.f64 1 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
✓	0.2b	(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x)))
	1.3b	(+.f64 -1 (cos.f64 x))

Compiler

Compiled 30 to 18 computations (40% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log-prod_binary64`
381×	`exp-prod_binary64`
318×	`pow-prod-down_binary64`
279×	`prod-diff_binary64`
245×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	184	25
2	2794	23

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)

Outputs

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

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

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-def_binary64`
320×	`distribute-rgt-in_binary64`
304×	`distribute-lft-in_binary64`
293×	`unswap-sqr_binary64`
261×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	2637
1	948	2442
2	2957	2256

Stop Event

1×	node limit

Counts

158 → 218

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(+.f64 0 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))
(+.f64 (.f64 (/.f64 1 x) 1) (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))) 1)
(/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))
(/.f64 1 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 x) (-.f64 -1 (cos.f64 x))))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (neg.f64 (fma.f64 -1 (cos.f64 x) 1)) (neg.f64 x))
(/.f64 (.f64 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (.f64 x (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1) 1)))
(/.f64 (.f64 -1 (pow.f64 (sin.f64 x) 2)) (.f64 x (-.f64 -1 (cos.f64 x))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) -1) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1) 1) x))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) -1) (.f64 (-.f64 -1 (cos.f64 x)) x))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1) 1) (neg.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) 1) (.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 2) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))
(/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) 1) x)
(/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 -1 x)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1) 1))
(/.f64 (*.f64 (/.f64 -1 x) (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) 2)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x)))
(pow.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x))))
(neg.f64 (neg.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x)) 1))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))) 2))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (log.f64 x)) 1) 1))
(fma.f64 -1 (/.f64 -1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 -1 (*.f64 (/.f64 1 x) (cos.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 -1 x) -1 (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 1 x))
(fma.f64 (cos.f64 x) (/.f64 -1 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 1 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 -1 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 -1 x)) (cos.f64 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 -1 x)) -1) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 -1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (neg.f64 x) -1/2) (*.f64 (pow.f64 (neg.f64 x) -1/2) (cos.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (neg.f64 x) -1/2) (*.f64 (pow.f64 (neg.f64 x) -1/2) -1) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 x))) 2) (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 x))) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 x))) (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 x))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 -1 x)) (/.f64 1 x))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (neg.f64 x) -1/2)) (pow.f64 (neg.f64 x) -1/2) (/.f64 1 x))
(fma.f64 (*.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 -1 x)) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 (*.f64 -1 (pow.f64 (neg.f64 x) -1/2)) (pow.f64 (neg.f64 x) -1/2) (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 0 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))) 1)
(*.f64 (/.f64 -1 x) (neg.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))
(*.f64 (/.f64 -1 x) (/.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (.f64 (neg.f64 x) x) -1))
(*.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x) 1)
(*.f64 1 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))
(.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)) (cbrt.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -2)) (cbrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) 2) (.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)) (sqrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) (.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) (/.f64 1 x)))
(*.f64 (neg.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 -1 x) 1) (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) x))
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)) 2)
(pow.f64 (*.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x))))
(pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (neg.f64 x)) -1)
(pow.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))))
(neg.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x)) -1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x))) 1) 1))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3)))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/24 (pow.f64 x 3))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/40320 (pow.f64 x 7)) (.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/2 x))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(fma.f64 x (*.f64 x -1/24) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 x (.f64 x -1/24) (.f64 -1/40320 (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 0 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (.f64 (/.f64 1 x) 1) (.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x))) 1)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 1 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1)) (neg.f64 x))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 x) (-.f64 -1 (cos.f64 x))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 -2 (log.f64 x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 -2 (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x))))) 2)) (cbrt.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 -2 (log.f64 x))))) (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 -2 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x)))))) (sqrt.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x))))))
(neg.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -2))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(log.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -3))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1 (cos.f64 x) 1) 3) (pow.f64 x 6)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x)))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x))))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(exp.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (.f64 2 (log.f64 x))) 1))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(exp.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x) -3)) 1/3))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))) 3))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 -1 (cos.f64 x) 1) x) x))) 2))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (fma.f64 -1 (cos.f64 x) 1)) x)) -1))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 -1 (cos.f64 x) 1) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 2 (log.f64 x))) 1) 1))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 -2 (log.f64 x))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(exp.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (neg.f64 (cos.f64 x)))))

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cos.f64 x) (*.f64 x x))
✓	17.6b	(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))

Compiler

Compiled 27 to 10 computations (63% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
0.0ms	x	@	inf	(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
0.0ms	x	@	0	(/.f64 (cos.f64 x) (*.f64 x x))
0.0ms	x	@	-inf	(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 (cos.f64 x) (*.f64 x x))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`prod-diff_binary64`
433×	`log-prod_binary64`
268×	`pow-prod-down_binary64`
239×	`pow2_binary64`
219×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	184	24
2	2618	24

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

Inputs
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))

Outputs

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

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-neg_binary64`
571×	`times-frac_binary64`
359×	`unswap-sqr_binary64`
183×	`log-prod_binary64`
181×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	7038
1	1211	5195
2	3938	4382

Stop Event

1×	node limit

Counts

234 → 311

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))))
(+.f64 (pow.f64 x -2) (.f64 (.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))) 1))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 -1 (.f64 (pow.f64 x -2) (cos.f64 x)) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))) (cbrt.f64 (.f64 (pow.f64 x -2) (cos.f64 x))) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x) (.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) x) (.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))) (pow.f64 x -2))
(+.f64 0 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 x -2) 1 (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 1 (pow.f64 x -2) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (cbrt.f64 x) -2) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (/.f64 1 x) (/.f64 1 x) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -4) (pow.f64 (cbrt.f64 x) -2) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 x -2) 1 (neg.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (cos.f64 x)) (.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 1 (pow.f64 x -2) (neg.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (cos.f64 x)) (.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (neg.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (cos.f64 x)) (.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (cbrt.f64 x) -2) (neg.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (cos.f64 x)) (.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (/.f64 1 x) (/.f64 1 x) (neg.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (cos.f64 x)) (.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -4) (pow.f64 (cbrt.f64 x) -2) (neg.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (cos.f64 x)) (.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) 1 (neg.f64 (.f64 (/.f64 1 (.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (.f64 x (neg.f64 x)))) (neg.f64 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x)))))
(+.f64 (fma.f64 1 (pow.f64 x -2) (neg.f64 (.f64 (/.f64 1 (.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (.f64 x (neg.f64 x)))) (neg.f64 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (neg.f64 (.f64 (/.f64 1 (.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (.f64 x (neg.f64 x)))) (neg.f64 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (cbrt.f64 x) -2) (neg.f64 (.f64 (/.f64 1 (.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (.f64 x (neg.f64 x)))) (neg.f64 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (/.f64 1 x) (/.f64 1 x) (neg.f64 (.f64 (/.f64 1 (.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (.f64 x (neg.f64 x)))) (neg.f64 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -4) (pow.f64 (cbrt.f64 x) -2) (neg.f64 (.f64 (/.f64 1 (.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (.f64 x (neg.f64 x)))) (neg.f64 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) 1 (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 1 (pow.f64 x -2) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
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(.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (cbrt.f64 (.f64 (pow.f64 x -2) (cos.f64 x))))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (.f64 x (neg.f64 x))))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) -4) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (.f64 (cbrt.f64 x) x)) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)
(pow.f64 (/.f64 x (/.f64 (cos.f64 x) x)) -1)
(pow.f64 (/.f64 (/.f64 x (/.f64 (cos.f64 x) x)) 1) -1)
(pow.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)) 1/3)
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (cos.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (cos.f64 x))) 3)
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (cos.f64 x))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (cos.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (cos.f64 x) x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) 1/3))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (+.f64 (.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 1 (*.f64 x x)) -1/2)
(+.f64 (pow.f64 x -2) -1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 1/24 (.f64 x x) (/.f64 1 (.f64 x x))) -1/2)
(+.f64 (fma.f64 (.f64 x x) 1/24 (/.f64 1 (.f64 x x))) -1/2)
(+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/24) -1/2))
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (.f64 x x) (/.f64 1 (.f64 x x)))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 (.f64 x x) 1/24 (/.f64 1 (.f64 x x)))) -1/2)
(+.f64 (fma.f64 (*.f64 x x) 1/24 (pow.f64 x -2)) (fma.f64 (pow.f64 x 4) -1/720 -1/2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (.f64 (.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 x x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (-.f64 (.f64 (cos.f64 x) (pow.f64 x -2)) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 -1 (.f64 (pow.f64 x -2) (cos.f64 x)) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))) (cbrt.f64 (.f64 (pow.f64 x -2) (cos.f64 x))) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 x x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (-.f64 (.f64 (cos.f64 x) (pow.f64 x -2)) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)))))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x) (.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 (cos.f64 x) x) (.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 x -2))) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 0 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (fma.f64 (pow.f64 x -2) 1 (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (fma.f64 1 (pow.f64 x -2) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 0) (-.f64 (.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4))) (/.f64 (cos.f64 x) (.f64 x x))))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -4)) (pow.f64 (cbrt.f64 x) -2) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (cos.f64 x)) (.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))
(+.f64 (.f64 (/.f64 (cos.f64 x) (.f64 x x)) 0) (-.f64 (.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4))) (/.f64 (cos.f64 x) (.f64 x x))))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (pow.f64 x -4)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(+.f64 (fma.f64 (/.f64 1 x) (/.f64 1 x) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
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(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 x) -4) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) -4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) -4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x (cbrt.f64 x))))
(.f64 (cbrt.f64 (/.f64 (cos.f64 x) (.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (.f64 (cbrt.f64 x) x)) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (cos.f64 x) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) 1/2)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 x (/.f64 (cos.f64 x) x)) -1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (/.f64 x (/.f64 (cos.f64 x) x)) 1) -1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (cos.f64 x))) 2)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 (cos.f64 x))) 3)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) -2)) 3)
(*.f64 (cos.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) -2) 3))
(*.f64 (cos.f64 x) (pow.f64 (/.f64 1 (cbrt.f64 x)) 6))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (cos.f64 x))) 1))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (cos.f64 x)))) 3))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6)) 1/3))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (cos.f64 x) x))) -1))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 1) 1))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) 1/3))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))

eval356.0ms (3.9%)

Compiler: Compiled 21564 to 11755 computations (45.5% saved)

prune462.0ms (5%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1043	8	1051
Fresh	5	4	9
Picked	1	0	1
Done	2	7	9
Total	1051	19	1070

Error

Counts

1070 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.7b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	48.9b	(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
✓	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
	29.7b	(/.f64 (/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) x)
	29.8b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
✓	30.4b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓	29.7b	(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
	48.9b	(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
	31.4b	(/.f64 1/2 (/.f64 x (sin.f64 x)))
✓	30.4b	(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
	30.1b	(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	33.2b	(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
	0.2b	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
	30.2b	(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x)))
	29.7b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
	17.1b	(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
✓	32.3b	(.f64 (.f64 1/2 x) (/.f64 1 x))
	49.7b	(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
	32.2b	1/2

Compiler

Compiled 193 to 133 computations (31.1% saved)

regimes299.0ms (3.2%)

Counts

38 → 1

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x)))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 -1 x) (/.f64 1 x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 x (sin.f64 x))) (/.f64 1 x))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
(/.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))) (.f64 x x))

Outputs
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))

Calls

3 calls:

104.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
99.0ms	x
7.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
0.1b	1	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 411 to 220 computations (46.5% saved)

regimes153.0ms (1.7%)

Counts

32 → 1

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x)))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 -1 x) (/.f64 1 x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))

Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))

Calls

3 calls:

14.0ms	x
7.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
6.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
0.2b	1	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 333 to 184 computations (44.7% saved)

regimes104.0ms (1.1%)

Counts

30 → 3

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x)))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 -1 x) (/.f64 1 x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 1/2 x)) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x 2)))
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))

Outputs
(/.f64 (/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) x)
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)

Calls

3 calls:

42.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
41.0ms	x
14.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.3b	3	`x`
0.6b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
0.6b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 311 to 173 computations (44.4% saved)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.2383140718603695e-7	1623504.8409942072
22.0ms	-217.7580185058473	-4.744097421560406e-6

Results

39.0ms

304×

body

256

valid

Compiler

Compiled 412 to 313 computations (24% saved)

regimes46.0ms (0.5%)

Counts

17 → 3

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x)))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)

Outputs
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)

Calls

3 calls:

27.0ms	x
7.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
7.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.3b	3	`x`
13.4b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
13.4b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 172 to 102 computations (40.7% saved)

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.2383140718603695e-7	1623504.8409942072
21.0ms	-217.7580185058473	-4.744097421560406e-6

Results

37.0ms

304×

body

256

valid

Compiler

Compiled 412 to 313 computations (24% saved)

regimes39.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 -1 (cos.f64 x)))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))

Outputs
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Calls

3 calls:

22.0ms	x
7.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
6.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.3b	3	`x`
13.4b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
13.4b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 152 to 91 computations (40.1% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.2383140718603695e-7	1623504.8409942072
21.0ms	-217.7580185058473	-4.744097421560406e-6

Results

39.0ms

304×

body

256

valid

Compiler

Compiled 392 to 293 computations (25.3% saved)

regimes33.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Calls

3 calls:

18.0ms	x
6.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
5.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.3b	3	`x`
13.4b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
13.4b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 112 to 68 computations (39.3% saved)

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.2383140718603695e-7	1623504.8409942072
23.0ms	-217.7580185058473	-4.744097421560406e-6

Results

42.0ms

304×

body

256

valid

Compiler

Compiled 374 to 275 computations (26.5% saved)

regimes33.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Calls

3 calls:

17.0ms	x
6.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
5.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.5b	3	`x`
13.6b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
13.6b	2	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 104 to 64 computations (38.5% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	3.2383140718603695e-7	1623504.8409942072
20.0ms	-217.7580185058473	-4.744097421560406e-6

Results

35.0ms

304×

body

256

valid

Compiler

Compiled 374 to 275 computations (26.5% saved)

regimes84.0ms (0.9%)

Counts

9 → 1

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))

Outputs
(/.f64 1/2 (/.f64 x (sin.f64 x)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
31.4b	1	`x`

Compiler

Compiled 78 to 48 computations (38.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total -18.2b remaining (-56.7%)

Threshold costs -18.2b (-56.7%)

Counts

8 → 1

Calls

Call 1

Inputs
1/2
(.f64 (.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(/.f64 (/.f64 (.f64 1/2 (.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 1/2 x) x) x) x)
(/.f64 (.f64 (/.f64 -1 x) (.f64 (*.f64 x x) -1/2)) x)
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))

Outputs
1/2

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
32.2b	1	`x`

Compiler

Compiled 72 to 44 computations (38.9% saved)

simplify134.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	289
1	60	289
2	63	289
3	65	289
4	66	289

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
(if (<=.f64 x -3112888062438487/576460752303423488) (/.f64 (/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
1/2

Outputs
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x 2)))
(if (<=.f64 x -3112888062438487/576460752303423488) (/.f64 (/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (/.f64 (/.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x)))) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x))) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -3112888062438487/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 3112888062438487/576460752303423488) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 1/2 (/.f64 x (sin.f64 x)))
1/2

Compiler

Compiled 203 to 136 computations (33% saved)

soundness81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-def_binary64`
477×	`fma-neg_binary64`
452×	`associate-*l/_binary64`
370×	`associate-*r/_binary64`
305×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1023
1	465	985
2	1762	945
3	7724	945

Stop Event

1×	node limit

Compiler

Compiled 56 to 38 computations (32.1% saved)

end128.0ms (1.4%)

Compiler: Compiled 195 to 117 computations (40% saved)