Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.9s (56.8%)

Memory

37.3MiB live, 1 238.2MiB allocated; 813ms collecting garbage

Samples

609.0ms	2 218×	2	valid
508.0ms	679×	3	valid
366.0ms	4 160×	0	valid
158.0ms	1 199×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-cos: 979.0ms (74.5% of total)

adjust: 172.0ms (13.1% of total)

ival-div!: 75.0ms (5.7% of total)

ival-sub!: 48.0ms (3.7% of total)

ival-mult!: 41.0ms (3.1% of total)

Bogosity

preprocess47.0ms (1.4%)

Memory

-18.0MiB live, 32.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	50	24
2	158	24
3	373	24
4	975	24
5	3793	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

6 → 17

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Calls

3 calls:

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

rewrite121.0ms (3.6%)

Memory

21.4MiB live, 112.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	328	264
0	3036	246

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

23 → 82

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval6.0ms (0.2%)

Memory: 12.6MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 586 to 263 computations (55.1% saved)

prune13.0ms (0.4%)

Memory

-31.2MiB live, 15.4MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	59	19	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	20	79

Accuracy

99.9%

Counts

79 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
	50.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
▶	51.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	50.6%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) (.f64 x x))
	25.3%	(/.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x))
	10.2%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
▶	50.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
	16.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x))))
▶	16.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
	46.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	22.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	25.3%	(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
	51.0%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
	51.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
▶	51.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	52.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 530 to 442 computations (16.6% saved)

series17.0ms (0.5%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Counts

27 → 89

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* 1/8 (pow x 2)))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2)))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2)))))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 1/2))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* -3/8 (pow x 2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 3/8)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 1/640 (pow x 2)))) 3/8)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x))))) (pow x 2))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x)))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (/ 1 (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)
5.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)
3.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)

Time

Variable

Point

Expression

6.0ms

inf

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)

5.0ms

-inf

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)

3.0ms

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)

rewrite191.0ms (5.8%)

Memory

-27.1MiB live, 221.3MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	1968
0	310	1591
1	1344	1574
0	8197	1490

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

116 → 814

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* 1/8 (pow x 2)))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2)))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2)))))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 1/2))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* -3/8 (pow x 2)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 3/8)))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 1/640 (pow x 2)))) 3/8)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x))))) (pow x 2))))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) #s(hole binary64 (- (* 1/2 (/ 1 (+ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (+ 1 (cos x)))))))
#s(approx (/ 1 (+ (cos x) 1)) #s(hole binary64 (/ 1 (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))

Outputs
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (/.f64 (.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal -1/24 binary64)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
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(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) x)) (cos.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 x))) (cos.f64 (-.f64 x (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(neg.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (+.f64 x x))
(+.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
#s(literal 2 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (* x x)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ 1 (+ (cos x) 1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (+ (cos x) 1)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (cos x) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (cos x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/5760 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) #s(literal 1/2 binary64))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -3/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/640 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal -3/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 x x) (cos.f64 x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ 1 (+ (cos x) 1)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))

eval57.0ms (1.7%)

Memory: 30.4MiB live, 168.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 6 888 to 2 285 computations (66.8% saved)

prune35.0ms (1.1%)

Memory

-31.1MiB live, 65.6MiB allocated; 10ms collecting garbage

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	649	21	670
Fresh	7	7	14
Picked	2	3	5
Done	0	1	1
Total	658	32	690

Accuracy

100.0%

Counts

690 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
	51.7%	(/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)))))) x) x)
	51.6%	(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) x) x)
	51.7%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) x) x)
	50.4%	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) x)
	15.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (fma.f64 x x (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
▶	30.7%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	50.6%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	51.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	25.3%	(/.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x))
	27.1%	(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
	10.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (fma.f64 (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))))))
	51.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
	16.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	16.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
	15.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
▶	22.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	25.3%	(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
	11.4%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
	51.2%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	51.0%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	50.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
	51.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
	50.6%	(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)))
▶	51.8%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
	51.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	51.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	25.4%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 039 to 795 computations (23.5% saved)

series15.0ms (0.5%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

29 → 100

Calls

Call 1

Inputs
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 1/2))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (/ (- 1 (cos x)) x) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (* x x) x -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (cos x) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) (cos (+ x x)) (+ x x) (- (cos x) -1) -1)
4.0ms	x	@	-inf	((/ (/ (- 1 (cos x)) x) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (* x x) x -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (cos x) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) (cos (+ x x)) (+ x x) (- (cos x) -1) -1)
3.0ms	x	@	0	((/ (/ (- 1 (cos x)) x) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (* x x) x -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (cos x) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) (cos (+ x x)) (+ x x) (- (cos x) -1) -1)

Time

Variable

Point

Expression

7.0ms

inf

((/ (/ (- 1 (cos x)) x) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (* x x) x -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (cos x) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) (cos (+ x x)) (+ x x) (- (cos x) -1) -1)

4.0ms

-inf

((/ (/ (- 1 (cos x)) x) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (* x x) x -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (cos x) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) (cos (+ x x)) (+ x x) (- (cos x) -1) -1)

3.0ms

((/ (/ (- 1 (cos x)) x) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) -1/24) 1/720 (* x x) x -1/24 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (cos x) (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- 1 (cos (+ x x))) (- (cos x) -1)) (- 1 (cos (+ x x))) (cos (+ x x)) (+ x x) (- (cos x) -1) -1)

rewrite160.0ms (4.8%)

Memory

-7.6MiB live, 224.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	2221
0	330	2107
1	1367	2087
0	8325	2014

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

129 → 490

Calls

Call 1

Inputs
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 1/2))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (/ (- 1 (cos (+ x x))) (- (cos x) -1)) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))

Outputs
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))
(/.f64 (+.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/373248000 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 x x) (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(+.f64 x x)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
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(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (cos.f64 x)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal -1 binary64))))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal -1 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* 1/720 (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) #s(literal 1/2 binary64))
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#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(literal 1/2 binary64))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (* x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos (+ x x))) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (- 1 (cos (+ x x))) (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos (+ x x))) (.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (- 1 (cos (+ x x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/315 binary64) (.f64 x x) #s(literal 4/45 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
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#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (.f64 (+.f64 #s(literal 1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
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#s(approx (cos x) (cos.f64 x))
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#s(approx (/ (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 x x) (cos.f64 x)))
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#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
#s(approx (- 1 (cos (+ x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1/2 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
#s(approx (- 1 (cos (+ x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))

eval59.0ms (1.8%)

Memory: 9.0MiB live, 112.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 5 871 to 2 043 computations (65.2% saved)

prune35.0ms (1.1%)

Memory

-16.9MiB live, 78.0MiB allocated; 3ms collecting garbage

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	594	17	611
Fresh	8	15	23
Picked	2	3	5
Done	0	4	4
Total	604	39	643

Accuracy

100.0%

Counts

643 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
	50.3%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
	30.5%	(/.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x x))
	51.7%	(/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)))))) x) x)
	51.6%	(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) x) x)
	51.7%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) x) x)
	15.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
	28.4%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))) (.f64 x x))
	50.6%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	51.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	25.3%	(/.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x))
	27.1%	(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
	12.1%	(/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 x x))
▶	51.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	2.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 (*.f64 x x) x))
▶	16.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
	16.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	15.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
✓	22.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	30.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (.f64 x (cos.f64 x))) (.f64 x x))) (.f64 x x))
▶	51.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
	50.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
▶	25.3%	(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
	11.4%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
	50.7%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
	50.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	51.0%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	51.0%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	50.9%	(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
	50.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
	50.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
▶	25.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
✓	51.8%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
	51.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	51.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	25.4%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 098 to 914 computations (16.8% saved)

series72.0ms (2.2%)

Memory

26.9MiB live, 122.6MiB allocated; 8ms collecting garbage

Counts

35 → 131

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
#s(literal 1 binary64)
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 x) x)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))
(log.f64 (cos.f64 x))
#s(literal 3 binary64)
(.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))

Outputs
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 1/2))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 x))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 1/2))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 1/2))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (* 3/2 (pow x 2))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* -7/8 (pow x 2))))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* 61/240 (pow x 2)) 7/8))))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* (pow x 2) (+ 61/240 (* -547/13440 (pow x 2)))) 7/8))))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (* -3/2 (pow x 2))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* (pow x 2) (- (* 547/13440 (pow x 2)) 61/240)))) 3/2))))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* -3/2 (pow x 2))))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* (pow x 2) (- (* -1/4 (pow x 2)) 3/2))))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1/15 (pow x 2)) 1/4)) 3/2))))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -17/840 (pow x 2)) 1/15)) 1/4)) 3/2))))
#s(approx (log (cos x)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (log (cos x)) #s(hole binary64 (* (pow x 2) (- (* -1/12 (pow x 2)) 1/2))))
#s(approx (log (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1/45 (pow x 2)) 1/12)) 1/2))))
#s(approx (log (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -17/2520 (pow x 2)) 1/45)) 1/12)) 1/2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -3/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) x))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (/ (- 1 (pow (cos x) 3)) (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x))))))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (- 1 (pow (cos x) 3))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (- (pow (cos x) 3) 1)))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* 3 (log (cos x)))))
#s(approx (log (cos x)) #s(hole binary64 (log (cos x))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x)))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x))))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) x))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))

Calls

3 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	((/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (* (- 1 (cos (+ x x))) (/ 1/2 x)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) x (/ 1/2 x) 1/2 (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (* x x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (neg (- (exp (* (log (cos x)) 3)) 1)) (- (exp (* (log (cos x)) 3)) 1) (* (log (cos x)) 3) (log (cos x)) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))
24.0ms	x	@	-inf	((/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (* (- 1 (cos (+ x x))) (/ 1/2 x)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) x (/ 1/2 x) 1/2 (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (* x x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (neg (- (exp (* (log (cos x)) 3)) 1)) (- (exp (* (log (cos x)) 3)) 1) (* (log (cos x)) 3) (log (cos x)) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))
5.0ms	x	@	0	((/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (* (- 1 (cos (+ x x))) (/ 1/2 x)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) x (/ 1/2 x) 1/2 (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (* x x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (neg (- (exp (* (log (cos x)) 3)) 1)) (- (exp (* (log (cos x)) 3)) 1) (* (log (cos x)) 3) (log (cos x)) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))

Time

Variable

Point

Expression

41.0ms

inf

((/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (* (- 1 (cos (+ x x))) (/ 1/2 x)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) x (/ 1/2 x) 1/2 (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (* x x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (neg (- (exp (* (log (cos x)) 3)) 1)) (- (exp (* (log (cos x)) 3)) 1) (* (log (cos x)) 3) (log (cos x)) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))

24.0ms

-inf

((/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (* (- 1 (cos (+ x x))) (/ 1/2 x)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) x (/ 1/2 x) 1/2 (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (* x x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (neg (- (exp (* (log (cos x)) 3)) 1)) (- (exp (* (log (cos x)) 3)) 1) (* (log (cos x)) 3) (log (cos x)) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))

5.0ms

((/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (* (- 1 (cos (+ x x))) (/ 1/2 x)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) x (/ 1/2 x) 1/2 (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) (/ 1/2 (* x x)) (* x x) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (neg (- (exp (* (log (cos x)) 3)) 1)) (- (exp (* (log (cos x)) 3)) 1) (* (log (cos x)) 3) (log (cos x)) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1) (+ (cos x) 1))

rewrite199.0ms (6%)

Memory

18.1MiB live, 294.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	2888
0	518	2694
1	2241	2694
0	9470	2556

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

166 → 581

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
#s(literal 1 binary64)
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 x) x)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))
(log.f64 (cos.f64 x))
#s(literal 3 binary64)
(.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 1/2))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 x))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 1/2))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 1/2))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (* 3/2 (pow x 2))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* -7/8 (pow x 2))))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* 61/240 (pow x 2)) 7/8))))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* (pow x 2) (+ 61/240 (* -547/13440 (pow x 2)))) 7/8))))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (* -3/2 (pow x 2))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* (pow x 2) (- (* 547/13440 (pow x 2)) 61/240)))) 3/2))))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* -3/2 (pow x 2))))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* (pow x 2) (- (* -1/4 (pow x 2)) 3/2))))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1/15 (pow x 2)) 1/4)) 3/2))))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -17/840 (pow x 2)) 1/15)) 1/4)) 3/2))))
#s(approx (log (cos x)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (log (cos x)) #s(hole binary64 (* (pow x 2) (- (* -1/12 (pow x 2)) 1/2))))
#s(approx (log (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1/45 (pow x 2)) 1/12)) 1/2))))
#s(approx (log (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -17/2520 (pow x 2)) 1/45)) 1/12)) 1/2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -3/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) x))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (/ (- 1 (pow (cos x) 3)) (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x))))))))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) #s(hole binary64 (- 1 (pow (cos x) 3))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) #s(hole binary64 (- (pow (cos x) 3) 1)))
#s(approx (* (log (cos x)) 3) #s(hole binary64 (* 3 (log (cos x)))))
#s(approx (log (cos x)) #s(hole binary64 (log (cos x))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x)))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x))))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) x))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (* (/ 1/2 (* x x)) (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) x))
(.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (neg.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (neg.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) #s(literal -1/2 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/2 binary64)) (.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) #s(literal -1/2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(/.f64 (.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal -1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x))))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (.f64 x (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))) (.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (.f64 (*.f64 x x) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) (.f64 (*.f64 x x) #s(literal 1 binary64)))
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(log.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(log.f64 (cos.f64 x))
#s(literal 3 binary64)
(.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
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(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) (.f64 x x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (cos.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (cos.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x))))))
(fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))))) (/.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))))))
(+.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
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(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
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(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64))))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) x)
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- 1 (cos (+ x x))) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (- 1 (cos (+ x x))) (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos (+ x x))) (.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (- 1 (cos (+ x x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/315 binary64) (.f64 x x) #s(literal 4/45 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx x x)
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (- (cos x) -1) x) (+.f64 x x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (* x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(literal 1/2 binary64))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (* x x) x) x) (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) (.f64 #s(literal 3/2 binary64) (.f64 x x)))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) (.f64 (fma.f64 #s(literal -7/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 61/240 binary64) (.f64 x x) #s(literal -7/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -547/13440 binary64) (.f64 x x) #s(literal 61/240 binary64)) (.f64 x x) #s(literal -7/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)))
#s(approx (- (exp (* (log (cos x)) 3)) 1) (.f64 #s(literal -3/2 binary64) (.f64 x x)))
#s(approx (- (exp (* (log (cos x)) 3)) 1) (.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x)))
#s(approx (- (exp (* (log (cos x)) 3)) 1) (.f64 (fma.f64 (fma.f64 #s(literal -61/240 binary64) (.f64 x x) #s(literal 7/8 binary64)) (.f64 x x) #s(literal -3/2 binary64)) (.f64 x x)))
#s(approx (- (exp (* (log (cos x)) 3)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 547/13440 binary64) (.f64 x x) #s(literal -61/240 binary64)) (.f64 x x) #s(literal 7/8 binary64)) (.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x)))
#s(approx (* (log (cos x)) 3) (.f64 #s(literal -3/2 binary64) (.f64 x x)))
#s(approx (* (log (cos x)) 3) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x)))
#s(approx (* (log (cos x)) 3) (.f64 (fma.f64 (fma.f64 #s(literal -1/15 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal -3/2 binary64)) (.f64 x x)))
#s(approx (* (log (cos x)) 3) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/840 binary64) (.f64 x x) #s(literal -1/15 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x)))
#s(approx (log (cos x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(approx (log (cos x)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))
#s(approx (log (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x)))
#s(approx (log (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/2520 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (.f64 x x) #s(literal 3 binary64)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 x x) #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -3/2 binary64)) (.f64 x x) #s(literal 3 binary64)) (.f64 x x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -11/240 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal -3/2 binary64)) (.f64 x x) #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(literal 3 binary64))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 3 binary64)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -3/2 binary64)) (.f64 x x) #s(literal 3 binary64)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -11/240 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x) #s(literal 3 binary64)))
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos (+ x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (* (- (cos x) -1) x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 x x) (cos.f64 x)))
#s(approx (/ (neg (- (exp (* (log (cos x)) 3)) 1)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (neg (- (exp (* (log (cos x)) 3)) 1)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))))
#s(approx (- (exp (* (log (cos x)) 3)) 1) (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))
#s(approx (* (log (cos x)) 3) (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))
#s(approx (log (cos x)) (log.f64 (cos.f64 x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (* (- 1 (cos (+ x x))) (/ 1/2 x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos (+ x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (/ (* (- 1 (cos (+ x x))) (/ 1/2 x)) (* (- (cos x) -1) x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 (-.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval62.0ms (1.9%)

Memory: -20.3MiB live, 128.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 7 091 to 2 339 computations (67% saved)

prune43.0ms (1.3%)

Memory

-0.3MiB live, 94.4MiB allocated; 3ms collecting garbage

Pruning

46 alts after pruning (36 fresh and 10 done)

	Pruned	Kept	Total
New	661	15	676
Fresh	6	21	27
Picked	2	3	5
Done	0	7	7
Total	669	46	715

Accuracy

100.0%

Counts

715 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	22.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
	50.3%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
	30.5%	(/.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x x))
	51.7%	(/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)))))) x) x)
	51.7%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) x) x)
	15.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
	28.4%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))) (.f64 x x))
	21.9%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (*.f64 x x) x)) x)
	50.6%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	51.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	27.1%	(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
✓	51.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	4.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
	2.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 (*.f64 x x) x))
	15.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (exp.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
✓	22.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	30.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (.f64 x (cos.f64 x))) (.f64 x x))) (.f64 x x))
	51.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
	50.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
✓	51.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
	50.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
	25.4%	(/.f64 (neg.f64 (expm1.f64 (+.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (log.f64 (cos.f64 x))))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
	25.3%	(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
	16.3%	(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
	11.4%	(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
	11.4%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
	50.7%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
	50.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	51.0%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	51.0%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	50.9%	(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
	25.6%	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)))
	50.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
	25.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	25.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
	23.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
	23.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
	27.1%	(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)) x))
✓	51.8%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
	51.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	51.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	25.4%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 476 to 930 computations (37% saved)

regimes45.0ms (1.4%)

Memory

-28.0MiB live, 71.8MiB allocated; 13ms collecting garbage

Counts

73 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)) x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)))
(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (.f64 x (cos.f64 x))) (.f64 x x))) (.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (*.f64 x x) x)) x)
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (exp.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))) (.f64 x x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (fma.f64 x x (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (log.f64 (cos.f64 x))))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) x) x)
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) x) x)
(/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)))))) x) x)
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (fma.f64 (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x)) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))))))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))

(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

2 calls:

25.0ms	x
14.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
80.0%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.6%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)) x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)))
(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))

(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.3%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)) x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)))
(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))

(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
72.5%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

-36.8MiB live, 10.7MiB allocated; 1ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)) x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)))
(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))

(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
72.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)) x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)))
(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))

(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
72.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)) x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (- (cos x) -1)) 1) (.f64 x x)))
(/.f64 (/.f64 #s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
72.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.9b remaining (-2.9%)

Threshold costs -0.9b (-2.9%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
52.1%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch10.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0029139404643097914	0.5245702518130978

Samples

5.0ms

112×

valid

Compiler

Compiled 151 to 157 computations (-4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-cos: 1.0ms (40.7% of total)

ival-mult!: 1.0ms (40.7% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0029139404643097914	0.5245702518130978

Compiler

Compiled 151 to 157 computations (-4% saved)

bsearch14.0ms (0.4%)

Memory

-24.5MiB live, 23.1MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.5245702518130978	19.277743340044612

Samples

8.0ms

112×

valid

Compiler

Compiled 200 to 199 computations (0.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 4.0ms (76.7% of total)

ival-mult!: 1.0ms (19.2% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch17.0ms (0.5%)

Memory

-20.3MiB live, 29.3MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.447152826539546e+27	2.6219245238059033e+35

Samples

9.0ms

144×

valid

Compiler

Compiled 227 to 226 computations (0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 5.0ms (76.7% of total)

ival-mult!: 1.0ms (15.3% of total)

ival-div!: 1.0ms (15.3% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.6219245238059033e+35	5.750909284131018e+40

Samples

10.0ms

144×

valid

Compiler

Compiled 200 to 208 computations (-4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 5.0ms (75% of total)

ival-mult!: 1.0ms (15% of total)

ival-div!: 1.0ms (15% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch8.0ms (0.2%)

Memory

-27.4MiB live, 18.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.5245702518130978	19.277743340044612

Samples

3.0ms

48×

valid

Compiler

Compiled 137 to 150 computations (-9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-cos: 2.0ms (91.8% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

derivations91.0ms (2.7%)

Memory

42.7MiB live, 135.1MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 77 to 51 computations (33.8% saved)

preprocess57.0ms (1.7%)

Memory: -7.9MiB live, 135.8MiB allocated; 16ms collecting garbage
Remove: (abs x)
Compiler: Compiled 383 to 325 computations (15.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0%)

sample1.9s (56.8%)

preprocess47.0ms (1.4%)

series3.0ms (0.1%)

rewrite121.0ms (3.6%)

eval6.0ms (0.2%)

prune13.0ms (0.4%)

series17.0ms (0.5%)

rewrite191.0ms (5.8%)

eval57.0ms (1.7%)

prune35.0ms (1.1%)

series15.0ms (0.5%)

rewrite160.0ms (4.8%)

eval59.0ms (1.8%)

prune35.0ms (1.1%)

series72.0ms (2.2%)

rewrite199.0ms (6%)

eval62.0ms (1.9%)

prune43.0ms (1.3%)

regimes45.0ms (1.4%)

regimes7.0ms (0.2%)

regimes11.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.3%)

bsearch1.0ms (0%)

bsearch14.0ms (0.4%)

bsearch17.0ms (0.5%)

bsearch16.0ms (0.5%)

bsearch8.0ms (0.2%)

derivations91.0ms (2.7%)

preprocess57.0ms (1.7%)

end0.0ms (0%)

Profiling