Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

sample1.6s (52.8%)

Memory

35.4MiB live, 1 523.9MiB allocated; 281ms collecting garbage

Samples

619.0ms	2 209×	2	valid
331.0ms	4 197×	0	valid
268.0ms	682×	3	valid
131.0ms	1 168×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 841.0ms (74.4% of total)

adjust: 115.0ms (10.2% of total)

ival-div!: 71.0ms (6.3% of total)

ival-sub!: 55.0ms (4.9% of total)

ival-mult!: 48.0ms (4.2% of total)

Bogosity

preprocess34.0ms (1.1%)

Memory

-14.8MiB live, 30.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	58	24
2	249	24
3	1143	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(/.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

3.5MiB live, 3.5MiB 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))

rewrite104.0ms (3.4%)

Memory

10.1MiB live, 110.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	352	264
0	3430	246

Stop Event

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

Counts

23 → 114

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)) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #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 (/.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 (-.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 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 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(neg.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.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) (+.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) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.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 (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.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) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 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) (neg.f64 (neg.f64 (cos.f64 x))))
(-.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 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (sin.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 1/2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
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 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.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 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.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))))
#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))

eval9.0ms (0.3%)

Memory: 16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 793 to 329 computations (58.5% saved)

prune9.0ms (0.3%)

Memory

-32.6MiB live, 14.1MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	96	12	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	13	109

Accuracy

99.9%

Counts

109 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
▶	53.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	16.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	52.4%	(/.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)))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	26.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	53.3%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
	53.1%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	52.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	49.4%	#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)))
▶	49.1%	#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)))
	48.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	50.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 246 to 232 computations (5.7% saved)

series9.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

23 → 68

Calls

Call 1

Inputs
(/.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)
x
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 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(approx (cos x) #s(literal 1 binary64))
(*.f64 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)))
(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 (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)
(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))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 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)) 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 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 1/2))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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 (cos x)))) #s(hole binary64 2))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ 2 x)))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ (+ 2 (* 1/6 (pow x 2))) x)))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)))
#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 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (/ (pow x 2) (- 1 (cos x)))))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ x (- 1 (cos x)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (/ x (- 1 (cos x))))
3.0ms	x	@	-inf	((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (/ x (- 1 (cos x))))
1.0ms	x	@	0	((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (/ x (- 1 (cos x))))

Time

Variable

Point

Expression

3.0ms

inf

((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (/ x (- 1 (cos x))))

3.0ms

-inf

((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (/ x (- 1 (cos x))))

1.0ms

((/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) x (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 -1/24 (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (/ x (- 1 (cos x))))

rewrite161.0ms (5.2%)

Memory

6.8MiB live, 143.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1502
0	227	1441
1	984	1441
0	8523	1387

Stop Event

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

Counts

91 → 601

Calls

Call 1

Inputs
(/.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)
x
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 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(approx (cos x) #s(literal 1 binary64))
(*.f64 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)))
(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 (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)
(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))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 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 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 1/2))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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 (cos x)))) #s(hole binary64 2))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ 2 x)))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ (+ 2 (* 1/6 (pow x 2))) x)))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)))
#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 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (/ (pow x 2) (- 1 (cos x)))))
#s(approx (/ x (- 1 (cos x))) #s(hole binary64 (/ x (- 1 (cos x)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.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 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) 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))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) 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 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (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))))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.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))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (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 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(neg.f64 (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (neg.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)) (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 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.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 (neg.f64 x) x)) (neg.f64 (/.f64 (cos.f64 x) (.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 x) (.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64) (/.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)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #s(literal -1 binary64)))
(+.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) (neg.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
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(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 1 binary64))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 x (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 1 binary64))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 x (-.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) (cos.f64 x)))
(.f64 (/.f64 x (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(literal 1/2 binary64))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (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)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #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)) 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 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#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 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 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 (/ 1 (* x (/ x (- 1 (cos x))))) #s(literal 1/2 binary64))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (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)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (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)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 #s(literal -1/24 binary64) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(literal 1/2 binary64))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (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)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* x (/ x (- 1 (cos x)))) #s(literal 2 binary64))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 2 binary64)))
#s(approx (/ x (- 1 (cos x))) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (.f64 #s(literal -1/40320 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/40320 binary64))) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/40320 binary64)) x) x))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)) x) x))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* x (/ x (- 1 (cos x)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
#s(approx (/ x (- 1 (cos x))) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))

eval55.0ms (1.8%)

Memory: 19.3MiB live, 63.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 632 to 1 897 computations (66.3% saved)

prune24.0ms (0.8%)

Memory

-20.6MiB live, 26.3MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	541	9	550
Fresh	2	5	7
Picked	0	5	5
Done	0	1	1
Total	543	20	563

Accuracy

99.9%

Counts

563 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
▶	52.7%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	53.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	52.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
	53.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	16.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (*.f64 x x) x) x))
	52.4%	(/.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)))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	26.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	53.6%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
✓	53.3%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
	76.4%	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 2 binary64)) x))))
▶	76.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
	53.1%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	52.9%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
▶	52.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	49.4%	#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)))
✓	49.1%	#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)))
▶	48.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	50.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 355 to 340 computations (4.2% saved)

series12.0ms (0.4%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

28 → 96

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x)
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 x)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.f64 x))

Outputs
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 1/2))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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 (cos x)))) #s(hole binary64 2))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (+ 2 (* 1/6 (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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (/ 1 (* x x)) (- 1 (cos x))) #s(hole binary64 1/2))
#s(approx (* (/ 1 (* x x)) (- 1 (cos x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1 (* x x)) (- 1 (cos x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1 (* x x)) (- 1 (cos 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 (- 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) (neg x)) (- (cos x) 1)) #s(hole binary64 1/2))
#s(approx (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (/ 1 x) (neg x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (cos x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (cos x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (- (cos x) 1) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (cos x) 1) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* 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)) 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 (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* 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) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (/ (pow x 2) (- 1 (cos x)))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (/ 1 (* x x)) (- 1 (cos 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) (neg x)) (- (cos x) 1)) #s(hole binary64 (* -1 (/ (- (cos x) 1) (pow x 2)))))
#s(approx (- (cos x) 1) #s(hole binary64 (- (cos x) 1)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) 1/6 (* x x) x 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) -1/24 1/2 (* (/ 1 (* x x)) (- 1 (cos x))) (/ 1 (* x x)) (- 1 (cos x)) (cos x) (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) (/ (/ 1 x) (neg x)) (/ 1 x) (neg x) (- (cos x) 1) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)))
4.0ms	x	@	-inf	((/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) 1/6 (* x x) x 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) -1/24 1/2 (* (/ 1 (* x x)) (- 1 (cos x))) (/ 1 (* x x)) (- 1 (cos x)) (cos x) (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) (/ (/ 1 x) (neg x)) (/ 1 x) (neg x) (- (cos x) 1) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)))
2.0ms	x	@	0	((/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) 1/6 (* x x) x 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) -1/24 1/2 (* (/ 1 (* x x)) (- 1 (cos x))) (/ 1 (* x x)) (- 1 (cos x)) (cos x) (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) (/ (/ 1 x) (neg x)) (/ 1 x) (neg x) (- (cos x) 1) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)))

Time

Variable

Point

Expression

4.0ms

inf

((/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) 1/6 (* x x) x 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) -1/24 1/2 (* (/ 1 (* x x)) (- 1 (cos x))) (/ 1 (* x x)) (- 1 (cos x)) (cos x) (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) (/ (/ 1 x) (neg x)) (/ 1 x) (neg x) (- (cos x) 1) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)))

4.0ms

-inf

((/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) 1/6 (* x x) x 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) -1/24 1/2 (* (/ 1 (* x x)) (- 1 (cos x))) (/ 1 (* x x)) (- 1 (cos x)) (cos x) (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) (/ (/ 1 x) (neg x)) (/ 1 x) (neg x) (- (cos x) 1) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)))

2.0ms

((/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) 1/6 (* x x) x 2 (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) -1/24 1/2 (* (/ 1 (* x x)) (- 1 (cos x))) (/ 1 (* x x)) (- 1 (cos x)) (cos x) (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) (/ (/ 1 x) (neg x)) (/ 1 x) (neg x) (- (cos x) 1) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)))

rewrite178.0ms (5.8%)

Memory

-17.5MiB live, 225.5MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	2171
0	304	2012
1	1310	1983
0	8230	1830

Stop Event

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

Counts

124 → 953

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x)
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 x)
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.f64 x))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 1/2))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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 (cos x)))) #s(hole binary64 2))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (+ 2 (* 1/6 (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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (/ 1 (* x x)) (- 1 (cos x))) #s(hole binary64 1/2))
#s(approx (* (/ 1 (* x x)) (- 1 (cos x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1 (* x x)) (- 1 (cos x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1 (* x x)) (- 1 (cos 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 (- 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) (neg x)) (- (cos x) 1)) #s(hole binary64 1/2))
#s(approx (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (/ 1 x) (neg x)) (- (cos x) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (/ 1 x) (neg x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (cos x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (cos x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (- (cos x) 1) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (cos x) 1) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* 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)) 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 (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* 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) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (/ (pow x 2) (- 1 (cos x)))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (/ 1 (* x x)) (- 1 (cos 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) (neg x)) (- (cos x) 1)) #s(hole binary64 (* -1 (/ (- (cos x) 1) (pow x 2)))))
#s(approx (- (cos x) 1) #s(hole binary64 (- (cos x) 1)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))

Outputs
(.f64 (pow.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(pow.f64 (.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/216 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/216 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/216 binary64) #s(literal 8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/216 binary64) #s(literal 8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/216 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 8 binary64))))
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(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (neg.f64 (.f64 (cos.f64 x) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (.f64 x (neg.f64 (.f64 (cos.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)))) (neg.f64 (+.f64 x (.f64 (cos.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x) (.f64 x (.f64 (cos.f64 x) x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x))) (+.f64 x (.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x) (.f64 x (.f64 (cos.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (cos.f64 x) x)) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x) (.f64 x (.f64 (cos.f64 x) x)))) (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (*.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (cos.f64 x) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (+.f64 x (*.f64 (cos.f64 x) x))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x) (.f64 x (.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x) (.f64 x (*.f64 (cos.f64 x) x))))))
(-.f64 x (neg.f64 (*.f64 x (neg.f64 (cos.f64 x)))))
(-.f64 x (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)))
(-.f64 x (neg.f64 (*.f64 (neg.f64 x) (cos.f64 x))))
(-.f64 x (neg.f64 (neg.f64 (*.f64 (cos.f64 x) x))))
(-.f64 x (*.f64 (cos.f64 x) x))
(+.f64 x (*.f64 x (neg.f64 (cos.f64 x))))
(+.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
(+.f64 x (*.f64 (neg.f64 x) (cos.f64 x)))
(+.f64 x (neg.f64 (*.f64 (cos.f64 x) x)))
x
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 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 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* x (/ x (- 1 (cos x)))) #s(literal 2 binary64))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* 1/6 (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* 1/6 (* x x)) 2) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* 1 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 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (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)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 #s(literal -1/24 binary64) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 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 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#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 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) 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 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ 1 x) (neg x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (- (cos x) 1) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(approx (- (cos x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))
#s(approx (- (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 (- (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)) (* 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 (.f64 x x) #s(literal 1/720 binary64) #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 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (.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)) x))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 x) (* x (cos x))) (.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 (*.f64 x x) x)))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (* 1 x) x)
#s(approx (* x (cos x)) x)
#s(approx (* x (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* 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)) x))
#s(approx (* 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)) 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 (cos x)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
#s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/6 (* x x)) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/6 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 (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -1/40320 binary64)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 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))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (cos x) 1) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (* x (cos x)) (*.f64 (cos.f64 x) x))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (neg.f64 (.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/40320 binary64)) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval62.0ms (2%)

Memory: 25.7MiB live, 114.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 6 446 to 2 026 computations (68.6% saved)

prune26.0ms (0.8%)

Memory

7.0MiB live, 53.1MiB allocated; 4ms collecting garbage

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	643	17	660
Fresh	6	3	9
Picked	3	2	5
Done	0	6	6
Total	652	28	680

Accuracy

99.9%

Counts

680 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	52.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
	52.7%	(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x))) x)
	52.7%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	53.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	52.6%	(/.f64 (-.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x))) x)
	53.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	16.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	26.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	53.6%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
✓	53.3%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
	76.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
	76.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))))
	76.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))))
▶	76.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
	51.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
	51.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
▶	30.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	52.7%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	53.1%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	52.9%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	52.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	76.5%	(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	49.4%	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
✓	49.1%	#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)))
✓	48.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	50.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 555 to 528 computations (4.9% saved)

series123.0ms (4%)

Memory

-6.1MiB live, 175.6MiB allocated; 31ms collecting garbage

Counts

29 → 81

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
#s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(-.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))

Outputs
#s(approx (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 1/2))
#s(approx (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* -1/12 (pow x 2)))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* (pow x 2) (- (* -1/1440 (pow x 2)) 1/12)))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/90720 (pow x 2)) 1/1440)) 1/12)))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (log 2)))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log 2) (* 1/12 (pow x 2)))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log 2) (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2)))))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log 2) (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/90720 (pow x 2)))))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 2))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))))
#s(approx (+ (* (* x x) 1/6) 2) #s(hole binary64 2))
#s(approx (+ (* (* x x) 1/6) 2) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 1/2))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (exp (* (log x) 2))) 2) #s(hole binary64 2))
#s(approx (+ (* 1/6 (exp (* (log x) 2))) 2) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (* (/ 1 x) (- 1 (cos x))) x) #s(hole binary64 1/2))
#s(approx (/ (* (/ 1 x) (- 1 (cos x))) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (/ 1 x) (- 1 (cos x))) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (/ 1 x) (- 1 (cos 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) (- 1 (cos x))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 x) (- 1 (cos x))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ 1 x) (- 1 (cos x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ 1 x) (- 1 (cos 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 (- 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 (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (* -1 (+ (log (/ 1 (- 1 (cos x)))) (* -2 (log (/ 1 x)))))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log (/ 1 (- 1 (cos x)))) (* -2 (log (/ 1 x))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (/ (pow x 2) (- 1 (cos x)))))
#s(approx (+ (* (* x x) 1/6) 2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 (exp (* (log x) 2))) 2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (exp (* (log x) 2))) 2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (* (/ 1 x) (- 1 (cos x))) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (/ 1 x) (- 1 (cos 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)) (/ (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 (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (* -1 (+ (log (/ 1 (- 1 (cos x)))) (* -2 (log (/ -1 x)))))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log (/ 1 (- 1 (cos x)))) (* -2 (log (/ -1 x))))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	((exp (* (log (* x (/ x (- 1 (cos x))))) -1)) (* (log (* x (/ x (- 1 (cos x))))) -1) (log (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* (* x x) 1/6) 2) (* x x) x 1/6 2 -1 (/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) (* (* x x) 1/6) (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (exp (* (log x) 2))) 2) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (/ 1 x) (- 1 (cos x)) (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)))
36.0ms	x	@	inf	((exp (* (log (* x (/ x (- 1 (cos x))))) -1)) (* (log (* x (/ x (- 1 (cos x))))) -1) (log (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* (* x x) 1/6) 2) (* x x) x 1/6 2 -1 (/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) (* (* x x) 1/6) (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (exp (* (log x) 2))) 2) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (/ 1 x) (- 1 (cos x)) (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)))
34.0ms	x	@	0	((exp (* (log (* x (/ x (- 1 (cos x))))) -1)) (* (log (* x (/ x (- 1 (cos x))))) -1) (log (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* (* x x) 1/6) 2) (* x x) x 1/6 2 -1 (/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) (* (* x x) 1/6) (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (exp (* (log x) 2))) 2) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (/ 1 x) (- 1 (cos x)) (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)))

Time

Variable

Point

Expression

52.0ms

-inf

((exp (* (log (* x (/ x (- 1 (cos x))))) -1)) (* (log (* x (/ x (- 1 (cos x))))) -1) (log (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* (* x x) 1/6) 2) (* x x) x 1/6 2 -1 (/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) (* (* x x) 1/6) (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (exp (* (log x) 2))) 2) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (/ 1 x) (- 1 (cos x)) (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)))

36.0ms

inf

((exp (* (log (* x (/ x (- 1 (cos x))))) -1)) (* (log (* x (/ x (- 1 (cos x))))) -1) (log (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* (* x x) 1/6) 2) (* x x) x 1/6 2 -1 (/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) (* (* x x) 1/6) (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (exp (* (log x) 2))) 2) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (/ 1 x) (- 1 (cos x)) (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)))

34.0ms

((exp (* (log (* x (/ x (- 1 (cos x))))) -1)) (* (log (* x (/ x (- 1 (cos x))))) -1) (log (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* (* x x) 1/6) 2) (* x x) x 1/6 2 -1 (/ 1 (* x (/ x (- 1 (cos x))))) 1 (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (* x x)) 2) (* (* x x) 1/6) (/ 1 (* x (/ x (- 1 (cos x))))) (* x (/ x (- 1 (cos x)))) (+ (* 1/6 (exp (* (log x) 2))) 2) (exp (* (log x) 2)) (* (log x) 2) (log x) (/ (* (/ 1 x) (- 1 (cos x))) x) (* (/ 1 x) (- 1 (cos x))) (/ 1 x) (- 1 (cos x)) (cos x) (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)))

rewrite160.0ms (5.2%)

Memory

22.1MiB live, 208.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1686
0	282	1537
1	1252	1507
0	8372	1439

Stop Event

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

Counts

110 → 669

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
#s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(-.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))
#s(approx (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 1/2))
#s(approx (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* -1/12 (pow x 2)))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* (pow x 2) (- (* -1/1440 (pow x 2)) 1/12)))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/90720 (pow x 2)) 1/1440)) 1/12)))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (log 2)))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log 2) (* 1/12 (pow x 2)))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log 2) (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2)))))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log 2) (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/90720 (pow x 2)))))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 2))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))))
#s(approx (+ (* (* x x) 1/6) 2) #s(hole binary64 2))
#s(approx (+ (* (* x x) 1/6) 2) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 1/2))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (exp (* (log x) 2))) 2) #s(hole binary64 2))
#s(approx (+ (* 1/6 (exp (* (log x) 2))) 2) #s(hole binary64 (+ 2 (* 1/6 (pow x 2)))))
#s(approx (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (* (/ 1 x) (- 1 (cos x))) x) #s(hole binary64 1/2))
#s(approx (/ (* (/ 1 x) (- 1 (cos x))) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (/ 1 x) (- 1 (cos x))) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (/ 1 x) (- 1 (cos 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) (- 1 (cos x))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 x) (- 1 (cos x))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ 1 x) (- 1 (cos x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ 1 x) (- 1 (cos 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 (- 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 (exp (* (log (* x (/ x (- 1 (cos x))))) -1)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (* -1 (+ (log (/ 1 (- 1 (cos x)))) (* -2 (log (/ 1 x)))))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log (/ 1 (- 1 (cos x)))) (* -2 (log (/ 1 x))))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(hole binary64 (/ (pow x 2) (- 1 (cos x)))))
#s(approx (+ (* (* x x) 1/6) 2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 (exp (* (log x) 2))) 2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (exp (* (log x) 2))) 2) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (* (/ 1 x) (- 1 (cos x))) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (/ 1 x) (- 1 (cos 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)) (/ (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 (* (log (* x (/ x (- 1 (cos x))))) -1) #s(hole binary64 (* -1 (+ (log (/ 1 (- 1 (cos x)))) (* -2 (log (/ -1 x)))))))
#s(approx (log (* x (/ x (- 1 (cos x))))) #s(hole binary64 (+ (log (/ 1 (- 1 (cos x)))) (* -2 (log (/ -1 x))))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Outputs
(.f64 (pow.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(pow.f64 (.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))) (.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))))) (-.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (-.f64 (.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))) (.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))))))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (neg.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(exp.f64 (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) (sinh.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
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(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
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(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x)))) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.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 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (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) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (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 (/.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 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.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)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 x x) (*.f64 x x)))))))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 x x) (*.f64 x x))))
(-.f64 (cosh.f64 (log.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))) (neg.f64 (sinh.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (neg.f64 (/.f64 (cos.f64 x) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))))
(exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
(+.f64 (cosh.f64 (log.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))) (sinh.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (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) (.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (.f64 x x))))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(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 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(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)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 x x)))
(pow.f64 (/.f64 (*.f64 x x) (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (cos.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (cos.f64 x)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(literal 1/2 binary64))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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 (- 1 (cos 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 (* (log (* x (/ x (- 1 (cos x))))) -1) (log.f64 #s(literal 1/2 binary64)))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (log.f64 #s(literal 1/2 binary64))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) (log.f64 #s(literal 1/2 binary64))))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/90720 binary64) (.f64 x x) #s(literal -1/1440 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) (log.f64 #s(literal 1/2 binary64))))
#s(approx (log (* x (/ x (- 1 (cos x))))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (* x (/ x (- 1 (cos x))))) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (* x (/ x (- 1 (cos x))))) (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (* x (/ x (- 1 (cos x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/90720 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64))))
#s(approx (* x (/ x (- 1 (cos x)))) #s(literal 2 binary64))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(exp.f64 (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) (sinh.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3024 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (* x x) 1/6) 2) #s(literal 2 binary64))
#s(approx (+ (* (* x x) 1/6) 2) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(literal 1/2 binary64))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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 (- 1 (cos 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) 1/6) 2) #s(literal 2 binary64))
#s(approx (+ (* (* x x) 1/6) 2) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
#s(approx (* (* x x) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 2) #s(literal 2 binary64))
#s(approx (+ (* (* x x) 1/6) 2) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) #s(literal 1/2 binary64))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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 (- 1 (cos 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) (- 1 (cos x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 x) (- 1 (cos x))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 x) (- 1 (cos 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) (- 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)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#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 (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)) (.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 (* x (/ x (- 1 (cos x))))) #s(literal 1/2 binary64))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x (/ x (- 1 (cos 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 (- 1 (cos 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 (/ 1 (* x (/ x (- 1 (cos x))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
#s(approx (log (* x (/ x (- 1 (cos x))))) (log.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
#s(approx (* x (/ x (- 1 (cos x)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
#s(approx (+ (* (* x x) 1/6) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x x)))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/6) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/6) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x x)))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* (/ 1 x) (- 1 (cos x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ 1 (* x (/ x (- 1 (cos x))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
#s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
#s(approx (log (* x (/ x (- 1 (cos x))))) (log.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)))
#s(approx (* (log x) 2) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))))
#s(approx (log x) (log.f64 (.f64 (.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))

eval60.0ms (1.9%)

Memory: -20.1MiB live, 118.0MiB allocated; 17ms collecting garbage
Compiler: Compiled 5 407 to 1 954 computations (63.9% saved)

prune103.0ms (3.3%)

Memory

-20.5MiB live, 94.0MiB allocated; 135ms collecting garbage

Pruning

35 alts after pruning (24 fresh and 11 done)

	Pruned	Kept	Total
New	490	12	502
Fresh	3	12	15
Picked	2	3	5
Done	0	8	8
Total	495	35	530

Accuracy

100.0%

Counts

530 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	52.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
	52.7%	(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x))) x)
	52.7%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	53.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	8.4%	(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 x x) (*.f64 x x))))))
	52.6%	(/.f64 (-.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x))) x)
	53.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	19.8%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x x) (cos.f64 x))) x) (.f64 x (/.f64 (.f64 x x) (cos.f64 x))))
	16.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	26.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
✓	53.6%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
✓	53.3%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
	76.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
	51.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
	51.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
	30.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
	30.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1/6 binary64)))))
	30.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
	30.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))))
✓	30.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	30.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
	30.5%	(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
	52.7%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	53.1%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	52.9%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	52.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	30.5%	(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) #s(approx (+ (* (* x x) 1/6) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
	76.5%	(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
	73.9%	(exp.f64 #s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/90720 binary64) (.f64 x x) #s(literal -1/1440 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) (log.f64 #s(literal 1/2 binary64)))))
	49.4%	#s(approx (/ (- 1 (cos x)) (* x x)) (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)))
✓	49.1%	#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)))
✓	48.9%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	50.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 908 to 687 computations (24.3% saved)

regimes25.0ms (0.8%)

Memory

46.7MiB live, 46.7MiB allocated; 0ms collecting garbage

Counts

51 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #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 (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 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 (.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 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 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)))
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) #s(approx (+ (* (* x x) 1/6) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1/6 binary64)))))
(exp.f64 #s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/90720 binary64) (.f64 x x) #s(literal -1/1440 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.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 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(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 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(/.f64 (-.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x))) x)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x))) 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) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (*.f64 x 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 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x x) (cos.f64 x))) x) (.f64 x (/.f64 (.f64 x x) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 x 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 (-.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:

12.0ms	x
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.3%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.7%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes19.0ms (0.6%)

Memory

-39.9MiB live, 10.1MiB allocated; 12ms collecting garbage

Counts

28 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #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 (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 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 (.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 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 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)))
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) #s(approx (+ (* (* x x) 1/6) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1/6 binary64)))))
(exp.f64 #s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/90720 binary64) (.f64 x x) #s(literal -1/1440 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #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:

18.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes14.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

27 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #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 (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 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 (.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 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 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)))
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) #s(approx (+ (* (* x x) 1/6) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1/6 binary64)))))
(exp.f64 #s(approx (* (log (* x (/ x (- 1 (cos x))))) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/90720 binary64) (.f64 x x) #s(literal -1/1440 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))))

Outputs
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))

Calls

2 calls:

7.0ms	x
5.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
76.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
76.5%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.3%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

18 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #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 (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 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 (.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 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (/ x (- 1 (cos x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 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)))
(exp.f64 (.f64 (log.f64 #s(approx ( x (/ x (- 1 (cos x)))) #s(approx (+ (* (* x x) 1/6) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/6 binary64)))))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.5%	1	`x`
76.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

6 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #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 (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))

Outputs

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

(/.f64 #s(literal 1 binary64) #s(approx (* x (/ x (- 1 (cos x)))) #s(approx (+ (* 1/6 (* x x)) 2) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
53.4%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
76.5%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

4 → 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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))

Outputs
#s(approx (/ (- 1 (cos x)) (* 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:

2.0ms

Results

Accuracy	Segments	Branch
73.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-42.4MiB live, 4.6MiB allocated; 2ms collecting garbage

Accuracy

Total -0.8b remaining (-2.6%)

Threshold costs -0.8b (-2.6%)

Counts

3 → 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)))

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

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

Calls

2 calls:

3.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
50.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
50.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch9.0ms (0.3%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.007491529849446573	0.23804327873576123

Samples

4.0ms

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 (42.5% 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)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.007491529849446573	0.23804327873576123

Compiler

Compiled 151 to 157 computations (-4% saved)

bsearch16.0ms (0.5%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.23804327873576123	198664044.32507142

Samples

9.0ms

144×

valid

Compiler

Compiled 272 to 289 computations (-6.3% saved)

Precisions

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

ival-cos: 5.0ms (76% of total)

ival-mult!: 1.0ms (15.2% of total)

ival-div!: 1.0ms (15.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch9.0ms (0.3%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.6178330634857025e+76	1.4535047780663597e+77

Samples

5.0ms

80×

valid

Compiler

Compiled 86 to 95 computations (-10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 3.0ms (84.7% 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)

derivations168.0ms (5.4%)

Memory

-14.4MiB live, 77.8MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 82 to 57 computations (30.5% saved)

preprocess47.0ms (1.5%)

Memory: 23.6MiB live, 70.3MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 342 to 303 computations (11.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.6s (52.8%)

preprocess34.0ms (1.1%)

series3.0ms (0.1%)

rewrite104.0ms (3.4%)

eval9.0ms (0.3%)

prune9.0ms (0.3%)

series9.0ms (0.3%)

rewrite161.0ms (5.2%)

eval55.0ms (1.8%)

prune24.0ms (0.8%)

series12.0ms (0.4%)

rewrite178.0ms (5.8%)

eval62.0ms (2%)

prune26.0ms (0.8%)

series123.0ms (4%)

rewrite160.0ms (5.2%)

eval60.0ms (1.9%)

prune103.0ms (3.3%)

regimes25.0ms (0.8%)

regimes19.0ms (0.6%)

regimes14.0ms (0.4%)

regimes10.0ms (0.3%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch9.0ms (0.3%)

bsearch1.0ms (0%)

bsearch16.0ms (0.5%)

bsearch9.0ms (0.3%)

derivations168.0ms (5.4%)

preprocess47.0ms (1.5%)

end0.0ms (0%)

Profiling