Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

3.5MiB live, 3.5MiB 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)

sample2.2s (60%)

Memory

74.2MiB live, 3 605.6MiB allocated; 741ms collecting garbage

Samples

819.0ms	2 236×	2	valid
456.0ms	4 144×	0	valid
441.0ms	694×	3	valid
155.0ms	1 182×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-cos: 1.1s (72.1% of total)

adjust: 138.0ms (9.4% of total)

ival-sub!: 122.0ms (8.3% of total)

ival-div!: 96.0ms (6.6% of total)

ival-mult!: 52.0ms (3.6% of total)

Bogosity

preprocess66.0ms (1.8%)

Memory

-22.4MiB live, 24.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	52	25
2	181	25
3	665	24
4	5773	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(/.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

8.4MiB live, 8.4MiB 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))

rewrite89.0ms (2.4%)

Memory

25.9MiB live, 118.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	312	264
0	2693	252

Stop Event

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

Counts

23 → 67

Calls

Call 1

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

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

eval19.0ms (0.5%)

Memory: -29.6MiB live, 20.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 469 to 231 computations (50.7% saved)

prune13.0ms (0.3%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	49	12	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	13	62

Accuracy

99.9%

Counts

62 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	8.8%	(/.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))))))
	53.4%	(/.f64 (-.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 x x))
	52.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
	15.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	53.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)))
▶	52.5%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
✓	53.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	27.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	53.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	48.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	48.0%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	49.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 324 to 262 computations (19.1% saved)

series18.0ms (0.5%)

Memory

-17.7MiB live, 28.8MiB allocated; 3ms collecting garbage

Counts

24 → 55

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	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 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))
6.0ms	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 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))
4.0ms	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 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) (/ (cos x) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))

Time

Variable

Point

Expression

7.0ms

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

6.0ms

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

4.0ms

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

rewrite299.0ms (8.1%)

Memory

0.8MiB live, 333.5MiB allocated; 184ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1116
0	235	1027
1	1025	1007
0	8613	961

Stop Event

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

Counts

79 → 612

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

Outputs
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (pow.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 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))
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#s(literal 2 binary64)
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(.f64 x (.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (pow.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 (.f64 x x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (.f64 (cos.f64 x) x) x))) (-.f64 (.f64 x x) (.f64 (*.f64 (cos.f64 x) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))) (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)))))
(fma.f64 (.f64 (cos.f64 x) (fabs.f64 x)) (fabs.f64 x) (.f64 x x))
(fma.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (.f64 (cos.f64 x) x) x (.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (cos.f64 x)) (.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (cos.f64 x)) (.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 x x) (cos.f64 x) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (.f64 x x) (.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 x (.f64 x (cos.f64 x)) (.f64 x x))
(fma.f64 x x (.f64 (.f64 (cos.f64 x) x) x))
(fma.f64 x x (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(+.f64 (.f64 (.f64 (cos.f64 x) x) x) (*.f64 x x))
(+.f64 (.f64 (.f64 x x) (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 (cos.f64 x) x) x))
(+.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.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 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(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 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) 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 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) 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 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) 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))
(neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) 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 (* 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 (-.f64 (.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 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (+.f64 x x) x))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 2 binary64)) x) x))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#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 (/ (cos x) (* x x)) (/.f64 (cos.f64 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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))

eval50.0ms (1.3%)

Memory: 16.9MiB live, 70.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 5 848 to 2 002 computations (65.8% saved)

prune23.0ms (0.6%)

Memory

-11.2MiB live, 36.0MiB allocated; 2ms collecting garbage

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	547	20	567
Fresh	7	0	7
Picked	1	4	5
Done	0	1	1
Total	555	25	580

Accuracy

100.0%

Counts

580 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.5%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
▶	53.9%	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
	27.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	53.2%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	54.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	53.9%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
	52.6%	(/.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
	15.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
▶	54.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	2.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))
▶	15.3%	(/.f64 (-.f64 (.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))))) (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) x)))
✓	53.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	27.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	52.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
	48.0%	(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) x)
	53.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
	53.1%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	53.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	52.2%	(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	76.7%	(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
▶	76.7%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
	48.5%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
▶	48.0%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	49.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 525 to 482 computations (8.2% saved)

series22.0ms (0.6%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Counts

31 → 87

Calls

Call 1

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

Outputs
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 1/2))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) x)))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (sin x) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) (sin x) x (/ (sin x) (* (* (- (cos x) -1) x) x)) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) 1 (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x))
6.0ms	x	@	inf	((* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) (sin x) x (/ (sin x) (* (* (- (cos x) -1) x) x)) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) 1 (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x))
3.0ms	x	@	0	((* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) (sin x) x (/ (sin x) (* (* (- (cos x) -1) x) x)) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) 1 (/ (cos x) x) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x))

Time

Variable

Point

Expression

11.0ms

-inf

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

6.0ms

inf

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

3.0ms

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

rewrite167.0ms (4.5%)

Memory

-12.1MiB live, 165.5MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	1914
0	372	1751
1	1575	1741
0	8377	1670

Stop Event

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

Counts

118 → 401

Calls

Call 1

Inputs
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (cos.f64 x) x)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 1/2))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) x)))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (sin x) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))

Outputs
(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
x
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 x x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (neg.f64 (cos.f64 x))) (fabs.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (+.f64 x x))
(+.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(+.f64 x x)
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) #s(literal 1/2 binary64))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) (fma.f64 (-.f64 (.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 (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* (* (- (cos x) -1) x) x) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (* (- (cos x) -1) x) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (* (- (cos x) -1) 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 2 binary64)) (.f64 x x)))
#s(approx (* (* (- (cos x) -1) 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 2 binary64)) (*.f64 x x)))
#s(approx (* (- (cos x) -1) x) (+.f64 x x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (* x x) x) x) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (.f64 (fma.f64 (-.f64 (.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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (.f64 (fma.f64 (-.f64 (.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 (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* (sin x) (/ (sin x) (* (* (- (cos x) -1) x) x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (sin x) (* (* (- (cos x) -1) x) x)) (/.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))))
#s(approx (* (* (- (cos x) -1) x) x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (- (cos x) -1) x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))
#s(approx (- (cos x) -1) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 x x) (cos.f64 x)))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (- (cos x) -1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))

eval113.0ms (3%)

Memory: 15.3MiB live, 59.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 898 to 1 816 computations (62.9% saved)

prune68.0ms (1.8%)

Memory

-34.1MiB live, 27.2MiB allocated; 5ms collecting garbage

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	407	11	418
Fresh	3	12	15
Picked	1	4	5
Done	0	5	5
Total	411	32	443

Accuracy

100.0%

Counts

443 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 (*.f64 x x) x) x))
	76.5%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
▶	77.2%	(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
	47.6%	(/.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
	27.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	53.2%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	54.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	52.6%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x))
▶	53.9%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
✓	54.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	3.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
	2.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))
	15.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x))
✓	15.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
▶	1.7%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.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))))) (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) x)))
✓	53.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	27.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	52.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
▶	48.0%	(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) x)
	53.6%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
	53.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
	53.1%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	53.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	76.7%	(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	49.0%	(.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
✓	76.7%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
	49.9%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (- (cos x) -1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	48.5%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	48.0%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	24.5%	#s(approx (/ (/ (- 1 (cos x)) x) x) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	49.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 621 to 581 computations (6.4% saved)

series17.0ms (0.5%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

38 → 88

Calls

Call 1

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

Outputs
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- (* 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 (* 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 (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (/ (pow (sin x) 2) (* x (+ 1 (cos x))))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos x) -1) #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 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (* (+ (* (* x x) -1/24) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (* (+ (* (* x x) -1/24) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 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))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) (/ (pow (sin x) 2) (- (cos x) -1)) (pow (sin x) 2) (sin x) x 2 (- (cos x) -1) (cos x) -1 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 1 (* (* (* x x) x) x) (* (* x x) x) (/ (/ (- (* 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)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (- (cos x) -1) x))
5.0ms	x	@	inf	((/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) (/ (pow (sin x) 2) (- (cos x) -1)) (pow (sin x) 2) (sin x) x 2 (- (cos x) -1) (cos x) -1 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 1 (* (* (* x x) x) x) (* (* x x) x) (/ (/ (- (* 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)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (- (cos x) -1) x))
3.0ms	x	@	0	((/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) (/ (pow (sin x) 2) (- (cos x) -1)) (pow (sin x) 2) (sin x) x 2 (- (cos x) -1) (cos x) -1 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 1 (* (* (* x x) x) x) (* (* x x) x) (/ (/ (- (* 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)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) x) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (- (cos x) -1) x))

Time

Variable

Point

Expression

7.0ms

-inf

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

5.0ms

inf

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

3.0ms

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

rewrite164.0ms (4.4%)

Memory

34.5MiB live, 164.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	1942
0	377	1826
1	1566	1657
0	8227	1598

Stop Event

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

Counts

126 → 737

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) x)
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (*.f64 x x) x) x))
(-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(/.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))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- (* 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 (* 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 (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) x) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (/ (pow (sin x) 2) (- (cos x) -1)) x) #s(hole binary64 (/ (pow (sin x) 2) (* x (+ 1 (cos x))))))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos x) -1) #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 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (* (+ (* (* x x) -1/24) 1/2) x) #s(hole binary64 (* -1/24 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#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 (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* x (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (* (+ (* (* x x) -1/24) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 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))))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) x) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* x (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))

Outputs
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(/.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 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 (.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 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (cos.f64 x))) (.f64 (neg.f64 (.f64 x x)) (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 x (.f64 (cos.f64 x) x))) (neg.f64 (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) (/.f64 (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x)) x))
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x) (/.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 x (.f64 (.f64 x x) x)) (/.f64 (.f64 (cos.f64 x) x) (.f64 (*.f64 x x) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(+.f64 (/.f64 x (.f64 (.f64 x x) x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 (*.f64 x x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (.f64 (cos.f64 x) x) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (.f64 x x)))) (+.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))) (.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 (neg.f64 (cos.f64 x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 x) x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 (.f64 (cos.f64 x) x) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (.f64 x x)) (.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (fma.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 (cos.f64 x) x))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 x (.f64 (cos.f64 x) x)))) (neg.f64 (neg.f64 (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x)
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 x (.f64 (cos.f64 x) x))) (neg.f64 (.f64 x x)))
(/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(fma.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 x x)))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 x (fabs.f64 x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 x (neg.f64 x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x x) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) x))
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(+.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))))
(*.f64 (cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 x x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (neg.f64 (cos.f64 x))) (fabs.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (+.f64 x x))
(+.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(+.f64 x x)
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x (pow.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 x x)))) (.f64 x x)) (.f64 (*.f64 x x) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 x x))) (-.f64 x (*.f64 (cos.f64 x) x)))
(-.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 x (*.f64 (neg.f64 x) (cos.f64 x)))
(+.f64 x (*.f64 (cos.f64 x) x))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* 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))) (* x x)) x) (fma.f64 (-.f64 (.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 (cos x))) (* x x)) x) (fma.f64 (-.f64 (.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 (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 (-.f64 (.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) (* x (cos x))) (* x x)) (.f64 (fma.f64 (-.f64 (.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 (/ (pow (sin x) 2) (- (cos x) -1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) (.f64 (fma.f64 (-.f64 (.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 (/ (pow (sin x) 2) (- (cos x) -1)) (.f64 (fma.f64 (-.f64 (.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 (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 x x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (* x x) x) x) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) 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 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #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 (fma.f64 (-.f64 (.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 (*.f64 x x) x)))
#s(approx (* x (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #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 (* (cos (+ x x)) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (pow (sin x) 2) (- (cos x) -1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* 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 (* (+ (* (* x x) -1/24) 1/2) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/24 binary64)))
#s(approx (* (+ (* (* x x) -1/24) 1/2) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 x x) (cos.f64 x)))
#s(approx (+ (* -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.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 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (* (- (cos x) -1) x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
#s(approx (* (+ (* (* x x) -1/24) 1/2) x) (neg.f64 (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.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 x (*.f64 (cos.f64 x) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))

eval87.0ms (2.3%)

Memory: -27.7MiB live, 72.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 7 243 to 2 606 computations (64% saved)

prune33.0ms (0.9%)

Memory

10.7MiB live, 55.3MiB allocated; 4ms collecting garbage

Pruning

39 alts after pruning (26 fresh and 13 done)

	Pruned	Kept	Total
New	583	9	592
Fresh	1	17	18
Picked	1	4	5
Done	0	9	9
Total	585	39	624

Accuracy

100.0%

Counts

624 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 (*.f64 x x) x) x))
	76.5%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
✓	77.2%	(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
	47.6%	(/.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
	27.6%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	2.0%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (.f64 (.f64 x x) x)) x)
	53.2%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	54.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	52.6%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x))
	53.8%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 x (.f64 (cos.f64 x) x))) x)
✓	53.9%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
	15.9%	(/.f64 (/.f64 #s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64))) (.f64 x x)) x)
✓	54.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	3.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
	2.2%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))
	15.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x))
✓	15.3%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
	1.7%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (pow.f64 x #s(literal 4 binary64)))
✓	1.7%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (*.f64 x x) x) x))
	2.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 (.f64 (*.f64 x x) x) x))
	1.7%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (.f64 (.f64 (*.f64 x x) x) x))
	45.2%	(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (*.f64 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))))) (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) x)))
✓	53.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	27.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	52.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
✓	48.0%	(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) x)
	53.6%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
	53.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
	53.1%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	53.4%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	76.7%	(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	49.0%	(.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
✓	76.7%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
	49.9%	(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (- (cos x) -1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
	48.5%	#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	48.0%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	24.5%	#s(approx (/ (/ (- 1 (cos x)) x) x) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	49.0%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 917 to 641 computations (30.1% saved)

regimes31.0ms (0.8%)

Memory

4.1MiB live, 47.0MiB allocated; 5ms collecting garbage

Counts

53 → 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 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) x)
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.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 (.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 (cos x))) (* x x)) x) (fma.f64 (-.f64 (.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(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64))) (.f64 x x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) x)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) #s(approx (+ ( -1/2 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (.f64 (.f64 x x) x)) x)
(.f64 (sin.f64 x) #s(approx (/ (sin x) ( (* (- (cos x) -1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (*.f64 x x) x))
(/.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 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x 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 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 x (.f64 (cos.f64 x) x))) x)
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) 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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
(/.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.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 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 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.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 (-.f64 (*.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:

14.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
13.0ms	x

Results

Accuracy	Segments	Branch
98.8%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.7%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.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 (-.f64 (*.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:

5.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes46.0ms (1.2%)

Memory

-37.9MiB live, 18.2MiB allocated; 55ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

40.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
5.0ms	x

Results

Accuracy	Segments	Branch
49.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
74.4%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (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 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) x)
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #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
74.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -0.9b remaining (-2.7%)

Threshold costs -0.9b (-2.7%)

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 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
49.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch13.0ms (0.3%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.006362757495425759	4516.4485976329615

Samples

6.0ms

144×

valid

Compiler

Compiled 200 to 208 computations (-4% saved)

Precisions

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

ival-cos: 2.0ms (55.6% of total)

ival-mult!: 1.0ms (27.8% of total)

ival-div!: 1.0ms (27.8% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.006362757495425759	4516.4485976329615

Compiler

Compiled 200 to 208 computations (-4% saved)

bsearch19.0ms (0.5%)

Memory

-31.3MiB live, 19.2MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.0206547524879885e+35	1.325901118625251e+39

Samples

13.0ms

128×

valid

Compiler

Compiled 187 to 194 computations (-3.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 9.0ms (85.9% of total)

ival-mult!: 1.0ms (9.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch12.0ms (0.3%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.682562039497021e+75	7.812171181057957e+77

Samples

7.0ms

112×

valid

Compiler

Compiled 116 to 129 computations (-11.2% saved)

Precisions

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

ival-cos: 4.0ms (78.6% of total)

ival-mult!: 1.0ms (19.7% of total)

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

adjust: 0.0ms (0% of total)

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

derivations32.0ms (0.9%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 45 to 34 computations (24.4% saved)

preprocess61.0ms (1.7%)

Memory: -28.1MiB live, 60.8MiB allocated; 10ms collecting garbage
Remove: (abs x)
Compiler: Compiled 241 to 216 computations (10.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.2s (60%)

preprocess66.0ms (1.8%)

series3.0ms (0.1%)

rewrite89.0ms (2.4%)

eval19.0ms (0.5%)

prune13.0ms (0.3%)

series18.0ms (0.5%)

rewrite299.0ms (8.1%)

eval50.0ms (1.3%)

prune23.0ms (0.6%)

series22.0ms (0.6%)

rewrite167.0ms (4.5%)

eval113.0ms (3%)

prune68.0ms (1.8%)

series17.0ms (0.5%)

rewrite164.0ms (4.4%)

eval87.0ms (2.3%)

prune33.0ms (0.9%)

regimes31.0ms (0.8%)

regimes6.0ms (0.2%)

regimes46.0ms (1.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.3%)

bsearch1.0ms (0%)

bsearch19.0ms (0.5%)

bsearch12.0ms (0.3%)

derivations32.0ms (0.9%)

preprocess61.0ms (1.7%)

end0.0ms (0%)

Profiling