Details

analyze99.0ms (1.2%)

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)

sample3.1s (36.7%)

Results

1.8s	2025×	body	2048	valid
422.0ms	3377×	body	256	valid
421.0ms	1138×	body	1024	valid
354.0ms	1607×	body	512	valid
63.0ms	109×	body	4096	valid

Bogosity

preprocess44.0ms (0.5%)

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)

simplify29.0ms (0.4%)

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

30.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(/.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
✓	1.5b	(-.f64 1 (cos.f64 x))
✓	15.2b	(/.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))

rewrite62.0ms (0.7%)

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))))))))

simplify64.0ms (0.8%)

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))

eval35.0ms (0.4%)

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

prune39.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	83	11	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	12	95

Error

0.0b

Counts

95 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
	30.7b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) (*.f64 x x))
	16.0b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
✓	30.5b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶	15.8b	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
▶	30.5b	(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
	32.4b	(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
▶	32.6b	(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
	30.5b	(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
	30.0b	(*.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))))
	31.7b	1/2

Compiler

Compiled 241 to 174 computations (27.8% saved)

localize23.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓	15.3b	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0.1%)

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)))

rewrite67.0ms (0.8%)

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))))))

simplify68.0ms (0.8%)

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))))))))

simplify40.0ms (0.5%)

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))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 x (neg.f64 x)))
	1.5b	(-.f64 1 (cos.f64 x))
✓	16.3b	(.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)))

rewrite46.0ms (0.6%)

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))))))))

simplify40.0ms (0.5%)

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))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
✓	0.1b	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) x)
	1.5b	(-.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
1.0ms	x	@	0	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
1.0ms	x	@	inf	(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
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	(/.f64 (-.f64 1 (cos.f64 x)) x)

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
382×	`exp-prod_binary64`
268×	`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
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) 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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))))))

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

595×	`unswap-sqr_binary64`
322×	`log-prod_binary64`
269×	`div-sub_binary64`
226×	`sqr-pow_binary64`
202×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	5661
1	1330	5003
2	4247	3089

Stop Event

1×	node limit

Counts

227 → 287

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (pow.f64 x -2))
✓	17.6b	(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`pow1_binary64`
783×	`add-log-exp_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	160	21
2	2162	21

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-def_binary64`
776×	`times-frac_binary64`
274×	`associate-/l*_binary64`
214×	`unswap-sqr_binary64`
195×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1337
1	432	1251
2	1591	1147

Stop Event

1×	node limit

Counts

75 → 105

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

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

eval327.0ms (3.9%)

Compiler: Compiled 12727 to 7662 computations (39.8% saved)

prune133.0ms (1.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	713	10	723
Fresh	2	4	6
Picked	1	0	1
Done	2	3	5
Total	718	17	735

Error

Counts

735 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
	30.0b	(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓	30.5b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓	15.8b	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
	30.0b	(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
	30.6b	(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
▶	32.4b	(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
▶	32.6b	(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
✓	32.6b	(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
	30.5b	(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
	16.7b	(.f64 (pow.f64 x -2) (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
▶	30.0b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶	0.1b	(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
	0.2b	(.f64 (sin.f64 x) (/.f64 1 (/.f64 x (/.f64 (tan.f64 (.f64 x 1/2)) x))))
▶	30.5b	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
	48.7b	(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 1 (.f64 x (neg.f64 x))))
	31.7b	1/2

Compiler

Compiled 333 to 242 computations (27.3% saved)

localize40.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
406×	`exp-prod_binary64`
353×	`pow-prod-down_binary64`
263×	`pow2_binary64`
199×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	197	32
2	2752	32

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

Inputs
(/.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))

Outputs

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

((#(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 (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 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(*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) 1) 1))))))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

528×	`unswap-sqr_binary64`
328×	`distribute-rgt-in_binary64`
287×	`log-prod_binary64`
273×	`div-sub_binary64`
217×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	2751
1	968	2650
2	3183	2636

Stop Event

1×	node limit

Counts

183 → 221

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
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 (sin.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) 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 (sin.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) x))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sin.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1) 1))
(+.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 (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 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.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 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (/.f64 1 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 (/.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 x) -2) (/.f64 (tan.f64 (.f64 x 1/2)) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.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 (pow.f64 x -1/2) (/.f64 (tan.f64 (.f64 x 1/2)) (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (pow.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 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))) 1)
(/.f64 (sin.f64 x) (.f64 x (/.f64 x (tan.f64 (.f64 x 1/2)))))
(/.f64 (sin.f64 x) (.f64 (/.f64 x (tan.f64 (.f64 x 1/2))) x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 (tan.f64 (.f64 x 1/2)) (.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (tan.f64 (.f64 x 1/2)) (.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (tan.f64 (.f64 x 1/2)) (/.f64 (.f64 x x) (sin.f64 x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(/.f64 1 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (.f64 x 1/2)))))
(/.f64 1 (.f64 (/.f64 x (tan.f64 (.f64 x 1/2))) (/.f64 x (sin.f64 x))))
(/.f64 1 (/.f64 (.f64 x x) (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 x (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 x (tan.f64 (.f64 x 1/2))) (neg.f64 x)))
(/.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) (*.f64 x x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x 1/2))) x)
(/.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x 1/2)))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 x 1/2))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) 1) (.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 (.f64 x 1/2)))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (neg.f64 x) 2))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) 1) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (.f64 (tan.f64 (.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (neg.f64 (sin.f64 x))) (pow.f64 (neg.f64 x) 2))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x 1/2))) 1) x)
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 x 1/2)) x)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 x 1/2))) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (.f64 x 1/2)))) (neg.f64 x))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(pow.f64 (.f64 (.f64 (sin.f64 x) (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 (.f64 (sin.f64 x) (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 (exp.f64 1) (log.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))))
(pow.f64 (.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (.f64 x 1/2)))) -1)
(pow.f64 (.f64 (/.f64 x (tan.f64 (.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1)
(pow.f64 (/.f64 (.f64 x x) (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (/.f64 x (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 x 1/2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2))))) (sqrt.f64 (log.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2))) (pow.f64 x -2)))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 4))
(log.f64 (pow.f64 (exp.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (sin.f64 x) (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))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))))
(exp.f64 (log.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sin.f64 x) (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 (.f64 (sin.f64 x) (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 (.f64 (log.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) 1) 1))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/6 (.f64 x x) 1) (.f64 1/120 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (.f64 -1/5040 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/6 (.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (.f64 -1/5040 (pow.f64 x 6))))
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 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/24 (.f64 x x) (.f64 (pow.f64 x 4) 1/240)))
(+.f64 1/2 (fma.f64 (.f64 x x) 1/24 (.f64 (pow.f64 x 4) 1/240)))
(+.f64 (fma.f64 (.f64 x x) 1/24 1/2) (.f64 (pow.f64 x 4) 1/240))
(+.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 (pow.f64 x 4) 1/240))))
(+.f64 1/2 (fma.f64 (.f64 x x) 1/24 (fma.f64 (pow.f64 x 4) 1/240 (.f64 (pow.f64 x 6) 17/40320))))
(+.f64 (fma.f64 (.f64 x x) 1/24 1/2) (fma.f64 (pow.f64 x 4) 1/240 (.f64 (pow.f64 x 6) 17/40320)))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (.f64 (cos.f64 (*.f64 1/2 x)) x))
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(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 4))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x 1/2)))) x) 2)
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))) 1) 1))
(.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x 1/2)) (*.f64 x x)))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/24 (.f64 x x))
✓	1.2b	(-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1)

Compiler

Compiled 40 to 25 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1)

rewrite47.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`pow1_binary64`
769×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	178	7
2	2399	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/24 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -1/24 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.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 (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 pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))) (#(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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)))))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

434×	`div-sub_binary64`
421×	`distribute-rgt-neg-in_binary64`
386×	`associate-l_binary64`
371×	`distribute-lft-neg-in_binary64`
356×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	715
1	291	687
2	829	681
3	3985	681

Stop Event

1×	node limit

Counts

58 → 62

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 1 (fma.f64 -1/24 (*.f64 x x) -1))
(+.f64 1 (.f64 (fma.f64 -1/24 (.f64 x x) -1) 1))
(+.f64 (.f64 -1/24 (.f64 x x)) 0)
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)
(+.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1))
(+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)
(.f64 1 (.f64 -1/24 (*.f64 x x)))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (.f64 x x) -1/24)
(.f64 (.f64 -1/24 (*.f64 x x)) 1)
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/24))
(.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (.f64 -1/24 (.f64 x x))))
(.f64 (.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (+.f64 (.f64 -1/24 (*.f64 x x)) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/24 (.f64 x x)) 2)))
(.f64 (.f64 -1/24 x) x)
(.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1))
(.f64 (.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (*.f64 -1/24 x) 1) x)
(.f64 (.f64 (*.f64 -1/24 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (+.f64 (.f64 -1/24 (.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (+.f64 (.f64 -1/24 (.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 -1/24 (.f64 x x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) -1) (+.f64 (.f64 -1/24 (*.f64 x x)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (.f64 x x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (+.f64 (.f64 -1/24 (.f64 x x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (.f64 -1/24 (*.f64 x x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 -1/24 (.f64 x x) -1) (fma.f64 -1/24 (.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1))))
(/.f64 (-.f64 1 (.f64 (fma.f64 -1/24 (.f64 x x) -1) (fma.f64 -1/24 (.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (.f64 x x) -1)))
(pow.f64 (.f64 -1/24 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/13824) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/13824))
(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))))
(fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (.f64 x (sqrt.f64 -1/24))) -1)

Outputs
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(+.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(+.f64 1 (.f64 (fma.f64 -1/24 (.f64 x x) -1) 1))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(+.f64 (.f64 -1/24 (.f64 x x)) 0)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(+.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 1 (.f64 -1/24 (*.f64 x x)))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 x (.f64 -1/24 x))
(.f64 -1/24 (.f64 x x))
(.f64 (.f64 x x) -1/24)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (.f64 -1/24 (*.f64 x x)) 1)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/24))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 (cbrt.f64 x) 2)))
(.f64 -1/24 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)))
(.f64 (cbrt.f64 (.f64 x (.f64 -1/24 x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (.f64 -1/24 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)))
(.f64 (cbrt.f64 (.f64 x (.f64 -1/24 x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/576)))
(.f64 (.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (+.f64 (.f64 -1/24 (*.f64 x x)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (.f64 x x) 1/24 -1) 3)) (-.f64 -1 (.f64 (fma.f64 (.f64 x x) 1/24 -1) (fma.f64 (.f64 x x) 1/24 -2))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/24 (.f64 x x)) 2)))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (.f64 -1/24 x) x)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 (cbrt.f64 x) 2)))
(.f64 -1/24 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (.f64 (*.f64 -1/24 x) 1) x)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (.f64 (*.f64 -1/24 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(.f64 (.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (+.f64 (.f64 -1/24 (.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (.f64 x x) 1/24 -1) 3)) (-.f64 -1 (.f64 (fma.f64 (.f64 x x) 1/24 -1) (fma.f64 (.f64 x x) 1/24 -2))))
(/.f64 1 (/.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (+.f64 (.f64 -1/24 (.f64 x x)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (.f64 x x) 1/24 -1) 3)) (-.f64 -1 (.f64 (fma.f64 (.f64 x x) 1/24 -1) (fma.f64 (.f64 x x) 1/24 -2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 -1/24 (.f64 x x) 1) -1))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (.f64 x x) 1/24 -1) 3)) (-.f64 -1 (.f64 (fma.f64 (.f64 x x) 1/24 -1) (fma.f64 (.f64 x x) 1/24 -2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) -1) (+.f64 (.f64 -1/24 (*.f64 x x)) 2))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (.f64 x x) 1) -1))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (+.f64 (.f64 -1/24 (.f64 x x)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (.f64 x x) 1/24 -1) 3)) (-.f64 -1 (.f64 (fma.f64 (.f64 x x) 1/24 -1) (fma.f64 (.f64 x x) 1/24 -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (.f64 -1/24 (*.f64 x x)) 2)))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 -1/24 (.f64 x x) -1) (fma.f64 -1/24 (.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (.f64 x x) -1) 3)) (+.f64 1 (fma.f64 (fma.f64 -1/24 (.f64 x x) -1) (fma.f64 -1/24 (.f64 x x) -1) (neg.f64 (fma.f64 -1/24 (.f64 x x) -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (.f64 x x) -1) 3)) (+.f64 1 (.f64 (fma.f64 -1/24 (.f64 x x) -1) (-.f64 (fma.f64 -1/24 (.f64 x x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (.f64 -1/24 x) -1) 3)) (fma.f64 (fma.f64 x (.f64 -1/24 x) -1) (+.f64 (.f64 x (.f64 -1/24 x)) -2) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (.f64 x x) -1) 3)) (fma.f64 (fma.f64 -1/24 (.f64 x x) -1) (+.f64 (.f64 -1/24 (.f64 x x)) -2) 1))
(/.f64 (-.f64 1 (.f64 (fma.f64 -1/24 (.f64 x x) -1) (fma.f64 -1/24 (.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (.f64 x x) -1)))
(/.f64 (fma.f64 (fma.f64 x (.f64 -1/24 x) -1) (fma.f64 x (.f64 x 1/24) 1) 1) (-.f64 2 (.f64 x (.f64 -1/24 x))))
(/.f64 (fma.f64 (fma.f64 -1/24 (.f64 x x) -1) (fma.f64 (.f64 x x) 1/24 1) 1) (+.f64 2 (.f64 (.f64 x x) 1/24)))
(pow.f64 (.f64 -1/24 (.f64 x x)) 1)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(pow.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) 3)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/13824) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/13824))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/13824))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824))
(expm1.f64 (log1p.f64 (.f64 -1/24 (.f64 x x))))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(log1p.f64 (expm1.f64 (.f64 -1/24 (.f64 x x))))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(exp.f64 (log.f64 (.f64 -1/24 (.f64 x x))))
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 -1/24 x) 1) 2)) (cbrt.f64 (fma.f64 x (.f64 -1/24 x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (.f64 x (sqrt.f64 -1/24))) -1)
(.f64 -1/24 (.f64 x x))
(.f64 x (.f64 -1/24 x))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) x)
	1.5b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 28 to 16 computations (42.9% 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) (/.f64 1 x))
0.0ms	x	@	inf	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

451×	`log-prod_binary64`
347×	`exp-prod_binary64`
305×	`prod-diff_binary64`
278×	`pow-prod-down_binary64`
226×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	179	12
2	2567	12

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

667×	`times-frac_binary64`
651×	`log-prod_binary64`
361×	`log-div_binary64`
309×	`associate-/r*_binary64`
287×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	1158
1	520	1128
2	1309	1122
3	5935	1122

Stop Event

1×	node limit

Counts

84 → 98

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (*.f64 x x))
	1.5b	(-.f64 1 (cos.f64 x))
✓	16.3b	(.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	@	inf	(/.f64 -1 (*.f64 x x))
0.0ms	x	@	0	(/.f64 -1 (*.f64 x x))

rewrite47.0ms (0.6%)

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))))))))

simplify39.0ms (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))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/720 (pow.f64 x 4))
✓	0.1b	(fma.f64 -1/24 (*.f64 x x) 1/2)
✓	13.2b	(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
0.0ms	x	@	0	(*.f64 1/720 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 1/720 (pow.f64 x 4))
0.0ms	x	@	0	(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`prod-diff_binary64`
433×	`log-prod_binary64`
273×	`pow2_binary64`
265×	`fma-def_binary64`
260×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	238	30
2	2769	30

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 1/720 (pow.f64 x 4))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 1/518400) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/720)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) 1/373248000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 12) 1/373248000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -719/720)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -719/720)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/720))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 12) 1/373248000)) 1/3))))))

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

422×	`unswap-sqr_binary64`
404×	`times-frac_binary64`
347×	`cancel-sign-sub-inv_binary64`
257×	`fma-neg_binary64`
198×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	2187
1	608	2108
2	2155	2070

Stop Event

1×	node limit

Counts

138 → 142

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 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.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 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(+.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 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 1/518400) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4)))))
(.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2)) 1)
(.f64 1 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2)))
(.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))))
(.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))))
(.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (/.f64 1 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2))))
(.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400)) (/.f64 1 (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (*.f64 -1/720 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2)) (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2)))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (pow.f64 x 8) 1/518400 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400)) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3))) (neg.f64 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400))) (neg.f64 (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/518400) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)))
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2)) (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))) -1)
(pow.f64 (/.f64 (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) (pow.f64 (exp.f64 1/720) (pow.f64 x 4))))
(log.f64 (.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/720 (pow.f64 x 4)))) (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/720 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))))
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2)))) 2))
(fma.f64 -1/24 (.f64 x x) (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(fma.f64 (.f64 x x) -1/24 (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) 1/720) (fma.f64 -1/24 (.f64 x x) 1/2))
(fma.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 1 (.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 x 4) 1/720 (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (.f64 1/720 (pow.f64 x 4)) 1 (fma.f64 -1/24 (.f64 x x) 1/2))
(fma.f64 1 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(fma.f64 1 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2))
(fma.f64 1 (.f64 -1/24 (.f64 x x)) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 x) 8) (.f64 (.f64 (cbrt.f64 x) x) 1/720) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) 2) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 1/720 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x 8) 1/518400)) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/518400)) (cbrt.f64 (.f64 1/720 (pow.f64 x 4))) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 1/720)) (.f64 (.f64 x x) (sqrt.f64 1/720)) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/24 (.f64 x x))) 2) (cbrt.f64 (.f64 -1/24 (.f64 x x))) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4))))
(fma.f64 (sqrt.f64 (.f64 -1/24 (.f64 x x))) (sqrt.f64 (.f64 -1/24 (.f64 x x))) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4))))
(fma.f64 (.f64 -1/24 x) x (+.f64 1/2 (.f64 1/720 (pow.f64 x 4))))
(fma.f64 (.f64 -1/24 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 (*.f64 1/720 (pow.f64 x 4))))
(fma.f64 (.f64 1/720 (.f64 x x)) (.f64 x x) (fma.f64 -1/24 (.f64 x x) 1/2))
(fma.f64 (.f64 1/720 (pow.f64 (cbrt.f64 x) 8)) (.f64 (cbrt.f64 x) x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(+.f64 (.f64 -1/24 (.f64 x x)) 1/2)
(+.f64 0 (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (.f64 (.f64 -1/24 (*.f64 x x)) 1) 1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)
(.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 1)
(.f64 1 (fma.f64 -1/24 (.f64 x x) 1/2))
(.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 3) 1/8) (+.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 2) (-.f64 1/4 (.f64 (.f64 -1/24 (*.f64 x x)) 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 2) 1/4) (fma.f64 -1/24 (*.f64 x x) -1/2))
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1/3))
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 (pow.f64 x 8) 1/518400) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/720)) 2)
(pow.f64 (*.f64 (pow.f64 x 12) 1/373248000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))
(log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 x 12) 1/373248000))
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))
(exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -719/720)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -719/720)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/720 (pow.f64 x 4)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (sqrt.f64 1/720))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 12) 1/373248000)) 1/3))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(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))))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(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 1/720 (pow.f64 x 4))))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(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 1/720 (pow.f64 x 4))))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (.f64 x x) (.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (.f64 -1/24 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 4))))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(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 1/720 (pow.f64 x 4))))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(.f64 -1/24 (.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1)
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(-.f64 (/.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 1/518400) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400)) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 (pow.f64 x 4) -1/720)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) -1/518400)) (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2)) 1)
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(.f64 1 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2)))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (.f64 x x) 1/2))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))))
(fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (/.f64 1 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2)))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (pow.f64 x 8) 1/518400 (.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400)) (/.f64 1 (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (*.f64 -1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400)) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 (pow.f64 x 4) -1/720)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) -1/518400)) (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2)) (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))))
(.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (/.f64 1 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2)))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (pow.f64 x 8) 1/518400 (.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400)) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 (pow.f64 x 4) -1/720)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) -1/518400)) (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2)))
(.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (/.f64 1 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (pow.f64 x 8) 1/518400 (.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (pow.f64 x 8) 1/518400 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4))))))
(.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (/.f64 1 (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (.f64 1/720 (pow.f64 x 4)) (-.f64 (.f64 1/720 (pow.f64 x 4)) (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2)))
(/.f64 (fma.f64 (pow.f64 x 12) 1/373248000 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 3)) (fma.f64 (pow.f64 x 8) 1/518400 (.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400)) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 -1/720 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 2) (.f64 (pow.f64 x 8) 1/518400)) (+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 (pow.f64 x 4) -1/720)))
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(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(fma.f64 (.f64 1/720 (pow.f64 (cbrt.f64 x) 8)) (.f64 (cbrt.f64 x) x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 8) (.f64 1/720 (.f64 x (cbrt.f64 x))) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 8) (.f64 x (.f64 (cbrt.f64 x) 1/720)) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 (pow.f64 (cbrt.f64 x) 9) (*.f64 x 1/720)))
(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 (.f64 -1/24 (.f64 x x)) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 0 (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 (.f64 (.f64 -1/24 (*.f64 x x)) 1) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/24 (.f64 x x) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(.f64 (fma.f64 -1/24 (.f64 x x) 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(.f64 1 (fma.f64 -1/24 (.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(.f64 (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 3) 1/8) (+.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 2) (-.f64 1/4 (.f64 (.f64 -1/24 (*.f64 x x)) 1/2))))
(/.f64 (+.f64 (.f64 -1/13824 (pow.f64 (.f64 x x) 3)) 1/8) (+.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 2) (-.f64 1/4 (.f64 -1/24 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 -1/13824 (pow.f64 x 6) 1/8) (+.f64 (.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (.f64 (*.f64 x x) -1/48))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 2) 1/4) (fma.f64 -1/24 (*.f64 x x) -1/2))
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (.f64 x x)) 2) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/576) -1/4) (fma.f64 -1/24 (.f64 x x) -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2))
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 -1/24 (.f64 x x) 1/2)) 1))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 3))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 -1/24 (.f64 x x) 1/2))) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1/3))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 0 (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))))
(*.f64 1/720 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 8) 1/518400) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))
(pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/720)) 2)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 12) 1/373248000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 12) 1/373248000))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))
(log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 1/720 (pow.f64 x 4))
(cbrt.f64 (*.f64 (pow.f64 x 12) 1/373248000))
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -719/720)))
(*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -719/720)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -719/720)) 1))
(exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -719/720)))
(*.f64 (pow.f64 x 4) (exp.f64 (log1p.f64 -719/720)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/720 (pow.f64 x 4)))) 3))
(*.f64 1/720 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (sqrt.f64 1/720))) 2))
(*.f64 1/720 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 12) 1/373248000)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 12) 1/373248000))

eval519.0ms (6.2%)

Compiler: Compiled 14527 to 9027 computations (37.9% saved)

prune163.0ms (2%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	823	11	834
Fresh	4	5	9
Picked	1	0	1
Done	1	6	7
Total	829	22	851

Error

Counts

851 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
▶	0.1b	(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
	30.0b	(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓	30.5b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	15.8b	(/.f64 1 (/.f64 (.f64 x x) (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
	30.0b	(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
▶	30.0b	(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
	30.6b	(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
	32.4b	(+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (*.f64 1/720 (pow.f64 x 4)))
✓	32.6b	(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
	32.6b	(+.f64 1/2 (+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))
✓	32.6b	(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
	30.5b	(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
✓	30.0b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
	47.5b	(.f64 (/.f64 (.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
✓	0.1b	(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
▶	30.1b	(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
▶	31.7b	(.f64 (.f64 1/2 x) (/.f64 1 x))
✓	30.5b	(.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 (.f64 x x)))
	48.7b	(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
▶	31.0b	(*.f64 1/2 (/.f64 (sin.f64 x) x))
	31.7b	1/2

Compiler

Compiled 398 to 287 computations (27.9% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
460×	`exp-prod_binary64`
330×	`pow-prod-down_binary64`
275×	`pow2_binary64`
207×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	202	26
2	2969	26

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -2) (/.f64 x (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(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 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)))) (#(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 (exp.f64 1) (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 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simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-def_binary64`
594×	`unswap-sqr_binary64`
307×	`log-prod_binary64`
266×	`distribute-rgt-in_binary64`
170×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	2384
1	815	2321
2	2719	2315

Stop Event

1×	node limit

Counts

137 → 164

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.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
0.0ms	x	@	0	(.f64 (.f64 1/2 x) (/.f64 1 x))
0.0ms	x	@	-inf	(.f64 (.f64 1/2 x) (/.f64 1 x))
0.0ms	x	@	inf	(.f64 (.f64 1/2 x) (/.f64 1 x))

rewrite36.0ms (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)))))

simplify6.0ms (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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 x) x)

Compiler

Compiled 15 to 6 computations (60% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
✓	0.1b	(/.f64 x (-.f64 1 (cos.f64 x)))
✓	0.1b	(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
	1.5b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`pow1_binary64`
900×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	177	33
2	2457	33

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

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

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

669×	`associate-/r*_binary64`
351×	`distribute-rgt-in_binary64`
342×	`distribute-lft-in_binary64`
331×	`fma-def_binary64`
289×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	1414
1	592	1408
2	2130	1398

Stop Event

1×	node limit

Counts

116 → 138

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 2 x)
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 1/3024 (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 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)
(.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) (cbrt.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))) -2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 (.f64 x x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x -1))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (pow.f64 x -1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)) 3)
(pow.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1)
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(.f64 (/.f64 x (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))) 1)
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 x 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 (-.f64 1 (cos.f64 x)) x) x)))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x))) -1)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) 1) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 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 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (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 2 x)
(+.f64 (.f64 1/6 x) (.f64 2 (/.f64 1 x)))
(fma.f64 1/6 x (/.f64 2 x))
(fma.f64 x 1/6 (/.f64 2 x))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x)))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x 1/6 (/.f64 2 x)))
(+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 1/3024 (pow.f64 x 5)))))
(fma.f64 1/120 (pow.f64 x 3) (+.f64 (fma.f64 1/6 x (/.f64 2 x)) (*.f64 1/3024 (pow.f64 x 5))))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x 1/6 (fma.f64 1/3024 (pow.f64 x 5) (/.f64 2 x))))
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)
(fma.f64 x (*.f64 x 1/6) 2)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (.f64 1/120 (pow.f64 x 4))))
(fma.f64 1/6 (.f64 x x) (+.f64 2 (.f64 (pow.f64 x 4) 1/120)))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 4) 1/120 2))
(fma.f64 x (*.f64 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)))
(fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 1/120 (fma.f64 (pow.f64 x 6) 1/3024 2)))
(/.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 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1 (/.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 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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 (-.f64 1 (cos.f64 x)) x) x)) (cbrt.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))) -2)))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x))) -2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -4)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 1 (/.f64 x (sqrt.f64 (-.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 1 (/.f64 (neg.f64 (.f64 x 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 1 (cos.f64 x)) x) (pow.f64 x -1))
(/.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 (pow.f64 x -1) (/.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 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 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 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.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 (.f64 x 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))
(pow.f64 (/.f64 (*.f64 x 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))
(pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) 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 (-.f64 1 (cos.f64 x)) x) x) 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 (-.f64 1 (cos.f64 x)) x) x)) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.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))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 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 (-.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))
(log.f64 (+.f64 1 (expm1.f64 (/.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))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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 (-.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))
(log1p.f64 (expm1.f64 (/.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))
(exp.f64 (log.f64 (/.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 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 1 (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 x (.f64 (.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)) x)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1)))
(.f64 (/.f64 x (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (sin.f64 x) (sin.f64 x)))
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) 1/3)
(/.f64 x (-.f64 1 (cos.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 3)
(/.f64 x (-.f64 1 (cos.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)
(/.f64 x (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 2))
(/.f64 x (-.f64 1 (cos.f64 x)))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3))
(/.f64 x (-.f64 1 (cos.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(/.f64 x (-.f64 1 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 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))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 x (/.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))))
(/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x 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))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.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 (-.f64 1 (cos.f64 x)) x) x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (.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)) (pow.f64 x -2))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 x 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))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) 1) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.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 (/.f64 (*.f64 x 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))))
(pow.f64 (pow.f64 (/.f64 (*.f64 x 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 x 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 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 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 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (cos.f64 x) x)
✓	0.1b	(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
✓	1.7b	(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))

Compiler

Compiled 32 to 15 computations (53.1% saved)

series7.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite365.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`prod-diff_binary64`
467×	`log-prod_binary64`
359×	`fma-def_binary64`
239×	`egg-rr`
236×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	181	27
2	2825	27

Stop Event

1×	node limit

Counts

3 → 405

Calls

Call 1

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

Outputs

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

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

simplify463.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

314×	`times-frac_binary64`
293×	`associate-/l*_binary64`
274×	`associate-+r+_binary64`
268×	`fma-def_binary64`
264×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	895	12965
1	2227	9542

Stop Event

1×	node limit

Counts

433 → 538

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

eval345.0ms (4.1%)

Compiler: Compiled 23131 to 12005 computations (48.1% saved)

prune215.0ms (2.6%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	1010	10	1020
Fresh	3	8	11
Picked	0	1	1
Done	2	8	10
Total	1015	27	1042

Error

Counts

1042 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
✓	0.1b	(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
✓	30.5b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
	30.8b	(/.f64 (.f64 (/.f64 1 x) (-.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
	35.3b	(/.f64 (.f64 (-.f64 x (.f64 x (cos.f64 x))) -1) (.f64 (.f64 x x) (neg.f64 x)))
	15.8b	(/.f64 1 (/.f64 (.f64 x x) (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
✓	30.0b	(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
	47.5b	(/.f64 1 (.f64 (/.f64 x (.f64 (*.f64 1/2 x) x)) x))
	31.7b	(/.f64 1 (*.f64 (/.f64 2 x) x))
	13.8b	(/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
	32.4b	(+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (*.f64 1/720 (pow.f64 x 4)))
✓	32.6b	(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
	32.6b	(+.f64 1/2 (+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))
✓	32.6b	(+.f64 1/2 (.f64 -1/24 (.f64 x x)))
	30.5b	(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
	30.8b	(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
	47.5b	(.f64 (/.f64 (.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
✓	0.1b	(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
	30.8b	(.f64 (/.f64 1 (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 x))))) (/.f64 1 x))
	30.5b	(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
✓	30.1b	(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
	45.8b	(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))
	30.0b	(.f64 (-.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (cos.f64 x))) (/.f64 1 x))
✓	31.7b	(.f64 (.f64 1/2 x) (/.f64 1 x))
	48.7b	(.f64 (neg.f64 (.f64 (.f64 1/2 x) x)) (/.f64 -1 (.f64 x x)))
✓	31.0b	(*.f64 1/2 (/.f64 (sin.f64 x) x))
	31.7b	1/2

Compiler

Compiled 311 to 220 computations (29.3% saved)

regimes48.0ms (0.6%)

Counts

43 → 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 1 (*.f64 (/.f64 2 x) x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))
(.f64 (/.f64 (.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
(/.f64 1 (.f64 (/.f64 x (.f64 (*.f64 1/2 x) x)) 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 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.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) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (*.f64 1/720 (pow.f64 x 4)))
(.f64 (-.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (cos.f64 x))) (/.f64 1 x))
(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(/.f64 (.f64 (/.f64 1 x) (-.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 x (.f64 x (cos.f64 x))) -1) (.f64 (.f64 x x) (neg.f64 x)))
(.f64 (/.f64 1 (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 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)))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(+.f64 (fma.f64 -1/24 (.f64 x x) 1/2) (.f64 1/720 (pow.f64 x 4)))
(.f64 (sin.f64 x) (/.f64 1 (/.f64 x (/.f64 (tan.f64 (.f64 x 1/2)) x))))
(/.f64 1 (/.f64 (.f64 x x) (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(.f64 (pow.f64 x -2) (.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) (*.f64 x x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))

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

Calls

3 calls:

21.0ms	x
9.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
7.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.1b	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 483 to 274 computations (43.3% saved)

regimes78.0ms (0.9%)

Counts

33 → 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 1 (*.f64 (/.f64 2 x) x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))
(.f64 (/.f64 (.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
(/.f64 1 (.f64 (/.f64 x (.f64 (*.f64 1/2 x) x)) 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 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.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) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (*.f64 1/720 (pow.f64 x 4)))
(.f64 (-.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (cos.f64 x))) (/.f64 1 x))
(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(/.f64 (.f64 (/.f64 1 x) (-.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 x (.f64 x (cos.f64 x))) -1) (.f64 (.f64 x x) (neg.f64 x)))
(.f64 (/.f64 1 (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 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)))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)

Outputs
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Calls

3 calls:

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

Results

Error	Segments	Branch
0.2b	3	`x`
0.3b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
0.3b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 366 to 212 computations (42.1% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.000545126986683619	0.09493790423575871
22.0ms	-6.561286712610973	-7.67330034096511e-10

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 438 to 342 computations (21.9% saved)

regimes71.0ms (0.9%)

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 1 (*.f64 (/.f64 2 x) x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))
(.f64 (/.f64 (.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
(/.f64 1 (.f64 (/.f64 x (.f64 (*.f64 1/2 x) x)) 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 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.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) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (*.f64 1/720 (pow.f64 x 4)))
(.f64 (-.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (cos.f64 x))) (/.f64 1 x))
(.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(/.f64 (.f64 (/.f64 1 x) (-.f64 x (.f64 x (cos.f64 x)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 x (.f64 x (cos.f64 x))) -1) (.f64 (.f64 x x) (neg.f64 x)))
(.f64 (/.f64 1 (/.f64 (.f64 x x) (-.f64 x (*.f64 x (cos.f64 x))))) (/.f64 1 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (*.f64 1/720 (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

Calls

3 calls:

38.0ms	x
13.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
12.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
0.3b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
0.3b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 338 to 197 computations (41.7% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.000545126986683619	0.09493790423575871
21.0ms	-6.561286712610973	-7.67330034096511e-10

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 438 to 332 computations (24.2% saved)

regimes61.0ms (0.7%)

Counts

24 → 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 1 (*.f64 (/.f64 2 x) x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))
(.f64 (/.f64 (.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
(/.f64 1 (.f64 (/.f64 x (.f64 (*.f64 1/2 x) x)) 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 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(.f64 (/.f64 1 (.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.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) (/.f64 (cos.f64 x) x)) (/.f64 1 x))

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

Calls

3 calls:

33.0ms	x
11.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
11.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

Error	Segments	Branch
0.2b	3	`x`
0.3b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`
0.3b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 252 to 159 computations (36.9% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.000545126986683619	0.09493790423575871
21.0ms	-6.561286712610973	-7.67330034096511e-10

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 336 to 247 computations (26.5% saved)

regimes40.0ms (0.5%)

Counts

13 → 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 1 (*.f64 (/.f64 2 x) x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))
(.f64 (/.f64 (.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
(/.f64 1 (.f64 (/.f64 x (.f64 (*.f64 1/2 x) x)) 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 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) 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:

20.0ms	x
9.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
8.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 139 to 94 computations (32.4% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.000545126986683619	0.09493790423575871
21.0ms	-6.561286712610973	-7.67330034096511e-10

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 336 to 247 computations (26.5% saved)

regimes11.0ms (0.1%)

Counts

12 → 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 1 (*.f64 (/.f64 2 x) x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))
(.f64 (/.f64 (.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(+.f64 1/2 (-.f64 (+.f64 1 (.f64 -1/24 (.f64 x x))) 1))
(/.f64 1 (.f64 (/.f64 x (.f64 (*.f64 1/2 x) x)) 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 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))

Outputs
(/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
13.8b	1	`x`

Compiler

Compiled 113 to 78 computations (31% saved)

regimes19.0ms (0.2%)

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
15.6b	3	`x`

Compiler

Compiled 94 to 64 computations (31.9% saved)

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	6.896058419479191e+72	9.248840461095371e+77
30.0ms	-3.3159910041597106e+80	-1.1114226132591053e+75

Results

46.0ms	208×	body	512	valid
11.0ms	80×	body	256	valid

Compiler

Compiled 301 to 243 computations (19.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -1.2b remaining (-3.9%)

Threshold costs -1.2b (-3.9%)

Counts

4 → 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 1 (*.f64 (/.f64 2 x) x))

Outputs
1/2

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
31.7b	1	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	284
1	78	284
2	87	284
3	91	284
4	93	284

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -1116892707587883/36028797018963968) (.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 7782220156096217/288230376151711744) (+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (.f64 1/720 (pow.f64 x 4))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1116892707587883/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 7782220156096217/288230376151711744) (+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (.f64 1/720 (pow.f64 x 4))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -2824657686286775/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 5764607523034235/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -2824657686286775/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 5764607523034235/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(if (<=.f64 x -88000000000000001570190964825296882978585144643366186690127853854636059394048) (.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x)) (if (<=.f64 x 134999999999999991890675758616325914658395787935736092617935634675990850961408) 1/2 (.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))))
1/2

Outputs
(.f64 (/.f64 (tan.f64 (.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -1116892707587883/36028797018963968) (.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 7782220156096217/288230376151711744) (+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (.f64 1/720 (pow.f64 x 4))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1116892707587883/36028797018963968) (.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 7782220156096217/288230376151711744) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 1/2 (.f64 -1/24 (.f64 x x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1116892707587883/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 7782220156096217/288230376151711744) (+.f64 (+.f64 (.f64 -1/24 (.f64 x x)) 1/2) (.f64 1/720 (pow.f64 x 4))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -1116892707587883/36028797018963968) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 7782220156096217/288230376151711744) (+.f64 (.f64 1/720 (pow.f64 x 4)) (+.f64 1/2 (.f64 -1/24 (.f64 x x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -2824657686286775/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 5764607523034235/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -2824657686286775/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x)) (if (<=.f64 x 5764607523034235/1152921504606846976) (+.f64 1/2 (.f64 -1/24 (.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (.f64 x x))))
(/.f64 1 (.f64 (+.f64 (.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(/.f64 1 (.f64 x (+.f64 (.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(if (<=.f64 x -88000000000000001570190964825296882978585144643366186690127853854636059394048) (.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x)) (if (<=.f64 x 134999999999999991890675758616325914658395787935736092617935634675990850961408) 1/2 (.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x))))
(if (<=.f64 x -88000000000000001570190964825296882978585144643366186690127853854636059394048) (.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 1 x))) (if (<=.f64 x 134999999999999991890675758616325914658395787935736092617935634675990850961408) 1/2 (.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 1 x)))))
1/2

Compiler

Compiled 200 to 136 computations (32% saved)

soundness77.0ms (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)

end85.0ms (1%)

Compiler: Compiled 193 to 123 computations (36.3% saved)