Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (51.6%)

Memory

69.1MiB live, 2 228.3MiB allocated; 414ms collecting garbage

Samples

689.0ms	2 186×	2	valid
341.0ms	4 210×	0	valid
326.0ms	652×	3	valid
137.0ms	1 208×	1	valid

Precisions

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

ival-cos: 970.0ms (75.6% of total)

adjust: 132.0ms (10.3% of total)

ival-div!: 81.0ms (6.3% of total)

ival-sub!: 54.0ms (4.2% of total)

ival-mult!: 46.0ms (3.6% of total)

Bogosity

preprocess71.0ms (2.1%)

Memory

-38.2MiB live, 53.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	52	25
2	181	25
3	665	24
4	5776	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(/.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

7.7MiB live, 7.7MiB 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))

rewrite118.0ms (3.4%)

Memory

29.2MiB live, 123.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	312	264
0	2701	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))

eval8.0ms (0.2%)

Memory: -30.0MiB live, 13.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 469 to 231 computations (50.7% saved)

prune9.0ms (0.3%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	46	15	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	16	62

Accuracy

99.8%

Counts

62 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.0%	(/.f64 (/.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 x x))
▶	50.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
	51.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	14.3%	(/.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))))))
	49.8%	(/.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))
	19.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	50.0%	(/.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)))
	50.0%	(/.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)))
✓	50.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	48.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	23.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	50.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	51.7%	#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)))
▶	51.2%	#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)))
▶	51.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	52.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 396 to 342 computations (13.6% saved)

series76.0ms (2.2%)

Memory

11.2MiB live, 148.5MiB allocated; 29ms collecting garbage

Counts

33 → 104

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#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)))
(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))
(.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)
(-.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))
(.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x)
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 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 #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)
(+.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 (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #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 (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (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))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (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 (+ (* (* 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 (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#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))))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 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) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) 1 (cos x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 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) (+ (cos x) 1))
23.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) 1 (cos x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 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) (+ (cos x) 1))
22.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) 1 (cos x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (- 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) (+ (cos x) 1))

Time

Variable

Point

Expression

29.0ms

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

23.0ms

-inf

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

22.0ms

inf

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

rewrite165.0ms (4.8%)

Memory

25.7MiB live, 303.8MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	2272
0	353	1985
1	1355	1968
0	8417	1931

Stop Event

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

Counts

137 → 537

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#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)))
(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))
(.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)
(-.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))
(.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x)
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 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 #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)
(+.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 (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #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 (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (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))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (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 (+ (* (* 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 (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#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))))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 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) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Outputs
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/24 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
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#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 #s(literal 1/720 binary64) x))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #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 (exp (* (log x) 2)) (*.f64 x x))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 x x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.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 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.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 (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.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 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (+ (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 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (/.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 (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/40320 binary64)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/40320 binary64)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 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) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1/40320 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (.f64 (neg.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (* (log x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))))
#s(approx (log x) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))

eval199.0ms (5.8%)

Memory: -84.6MiB live, 152.9MiB allocated; 122ms collecting garbage
Compiler: Compiled 6 365 to 2 482 computations (61% saved)

prune21.0ms (0.6%)

Memory

-5.7MiB live, 51.5MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	482	12	494
Fresh	6	4	10
Picked	2	3	5
Done	0	1	1
Total	490	20	510

Accuracy

100.0%

Counts

510 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
	50.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (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 x x))
	49.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (/.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 x x))
	50.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
▶	51.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	50.2%	(/.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))
	50.1%	(/.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)))
	19.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	50.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	48.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
▶	23.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	50.1%	(/.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)))
	24.5%	(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	50.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	74.9%	(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	51.7%	#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)))
✓	51.2%	#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)))
✓	51.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	25.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	52.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 445 to 425 computations (4.5% saved)

series13.0ms (0.4%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Counts

28 → 102

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin 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 (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#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 x #s(hole binary64 x))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (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 (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (/ (- 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 (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (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 (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#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))
#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))
#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 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 (/ (/ (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)) #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 (+ (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 (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#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 (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (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 (/ (/ (- 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 (/ (- 1/2 (* (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)) #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 x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#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)) #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 (+ (cos x) 1) #s(hole binary64 (+ 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)) #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
5.0ms	x	@	-inf	((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) (* x x))) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (- (cos x) -1) (* x x)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (/ (pow (sin x) 2) (+ (cos x) 1)) (pow (sin x) 2) 2 (+ (cos x) 1))
4.0ms	x	@	inf	((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) (* x x))) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (- (cos x) -1) (* x x)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (/ (pow (sin x) 2) (+ (cos x) 1)) (pow (sin x) 2) 2 (+ (cos x) 1))
2.0ms	x	@	0	((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (- (cos x) -1) (* x x))) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (- (cos x) -1) (* x x)) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (/ (pow (sin x) 2) (+ (cos x) 1)) (pow (sin x) 2) 2 (+ (cos x) 1))

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

rewrite157.0ms (4.5%)

Memory

22.8MiB live, 298.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	2016
0	345	1960
1	1403	1761
0	8372	1682

Stop Event

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

Counts

130 → 565

Calls

Call 1

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

eval64.0ms (1.9%)

Memory: -0.2MiB live, 117.1MiB allocated; 34ms collecting garbage
Compiler: Compiled 4 233 to 1 521 computations (64.1% saved)

prune31.0ms (0.9%)

Memory

25.2MiB live, 65.6MiB allocated; 13ms collecting garbage

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	469	12	481
Fresh	6	5	11
Picked	2	3	5
Done	0	4	4
Total	477	24	501

Accuracy

100.0%

Counts

501 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.5%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x)))
▶	50.0%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	51.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	4.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	51.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	19.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	50.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	48.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
✓	23.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
✓	50.1%	(/.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)))
▶	74.4%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	99.6%	(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
	46.8%	(/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
▶	26.0%	(/.f64 #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))) (*.f64 x x))
	24.5%	(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	50.6%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	99.8%	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
	75.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	51.7%	#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)))
✓	51.2%	#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)))
✓	51.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	25.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	52.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 460 to 436 computations (5.2% saved)

series52.0ms (1.5%)

Memory

-47.6MiB live, 64.7MiB allocated; 48ms collecting garbage

Counts

34 → 125

Calls

Call 1

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

Outputs
#s(approx (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 1/2))
#s(approx (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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 (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(hole binary64 1/2))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 2))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (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)) #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 (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (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 (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (tan (/ x 2)) (sin 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 (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (tan (/ x 2)) (sin 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 (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin 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 (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 -1/24))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
#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)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* -1/40320 (pow x 8))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))

Calls

3 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/2 (* x x) 1/24 (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (/ (pow (sin x) 2) (+ (cos x) 1)) (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) 1 (* x (cos x)) (cos x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))
11.0ms	x	@	0	((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/2 (* x x) 1/24 (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (/ (pow (sin x) 2) (+ (cos x) 1)) (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) 1 (* x (cos x)) (cos x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))
6.0ms	x	@	inf	((* (/ (tan (/ x 2)) x) (/ (sin x) x)) (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) x 2 (/ (sin x) x) (sin x) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/2 (* x x) 1/24 (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)) (/ (pow (sin x) 2) (+ (cos x) 1)) (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) 1 (* x (cos x)) (cos x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))

Time

Variable

Point

Expression

33.0ms

-inf

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

11.0ms

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

6.0ms

inf

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

rewrite189.0ms (5.5%)

Memory

19.4MiB live, 251.2MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	2853
0	381	2743
1	1354	2520
0	8827	2455

Stop Event

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

Counts

159 → 802

Calls

Call 1

Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 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 (+ (* (* 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)))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
(/.f64 #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))) (*.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)))
(.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))
(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 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
(/.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)
#s(literal 1 binary64)
(*.f64 x (cos.f64 x))
(cos.f64 x)
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
#s(approx (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 1/2))
#s(approx (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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 (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(hole binary64 1/2))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (/ (+ 1/2 (* -1/24 (pow x 2))) (pow x 2))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (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)) #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 (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (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 (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (tan (/ x 2)) (sin 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 (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (tan (/ x 2)) (sin 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 (* (/ (tan (/ x 2)) x) (/ (sin x) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin 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 (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 -1/24))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(hole binary64 (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
#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)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* -1/40320 (pow x 8))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))

Outputs
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (neg.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 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (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 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) x) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x)))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x x))) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 (neg.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)) (-.f64 (.f64 (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (neg.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 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 x (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 (cos.f64 x) x))) (.f64 x (.f64 (.f64 x x) x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(/.f64 (.f64 (tan.f64 (.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (neg.f64 (.f64 x (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 x x))) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x))) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 (neg.f64 x) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 x x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64))) (.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))) (.f64 (.f64 x x) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 (.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (neg.f64 (.f64 x (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal 3/2 binary64) x))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 x x))) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x))) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 (neg.f64 x) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 x x)) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x x))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64))) (.f64 (fma.f64 x x (.f64 (.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))) (.f64 (.f64 x x) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 (.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (neg.f64 (.f64 x (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal 3/2 binary64) x))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 x x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 x (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (.f64 x (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 (neg.f64 x) x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (/.f64 x (.f64 x x)) x) (/.f64 (.f64 (cos.f64 x) (/.f64 x (*.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 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 (cos.f64 x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.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 (-.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 binary64) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (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 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (sin.f64 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 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) 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 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.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 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (cos.f64 (.f64 #s(literal 3/2 binary64) x))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.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)))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))))
(neg.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.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 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.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 (neg.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 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 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 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64))
#s(approx (/ (tan (/ x 2)) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) x) (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)))
#s(approx (/ (tan (/ x 2)) x) (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)))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (.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 (tan (/ x 2)) (.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 (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* 1 x) x)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (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)))
#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) (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 (*.f64 x x) 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 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) #s(literal 1/2 binary64))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (- (/ 1/2 (* x x)) 1/24) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (/ 1/2 (* x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (/ (- (* 1 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 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#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 x (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (pow (sin x) 2) (+ (cos x) 1)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (.f64 x (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))
#s(approx (/ (/ (- (* 1 x) (* x (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 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (* 1 x) x)
#s(approx (* x (cos x)) x)
#s(approx (* x (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* x (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #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) #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 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (/ (- (* 1 x) (* x (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 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#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 x (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (pow (sin x) 2) (+ (cos x) 1)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) 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 (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (sin x) (sin.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 (+ (* (* 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 (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
#s(approx (* (- (/ 1/2 (* x x)) 1/24) (* x x)) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (- (/ 1/2 (* x x)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (/ 1/2 (* x x)) 1/24) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (pow (sin x) 2) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (* x x)) (.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) x)) (.f64 x x)))) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/40320 binary64))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) x)) (.f64 x x)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) x))))))
#s(approx (+ (* (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) x)) (.f64 x x)) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) x)) (.f64 x x)))) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) x))))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (.f64 (.f64 x (.f64 (.f64 x x) x)) #s(literal -1/40320 binary64)))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (.f64 (.f64 x (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (- (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) 1/24) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 x x) x)))) (.f64 x (.f64 (.f64 x x) x))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) (.f64 (.f64 x (.f64 (.f64 x x) x)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) (.f64 (.f64 x (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (*.f64 x 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 (- (* 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 (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 (/ (pow (sin x) 2) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (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 (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval62.0ms (1.8%)

Memory: 29.7MiB live, 120.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 749 to 2 753 computations (64.5% saved)

prune45.0ms (1.3%)

Memory

-0.7MiB live, 50.0MiB allocated; 9ms collecting garbage

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	659	18	677
Fresh	4	8	12
Picked	4	1	5
Done	1	6	7
Total	668	33	701

Accuracy

100.0%

Counts

701 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	50.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
	51.3%	(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)
	49.9%	(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x))) x)
	20.0%	(/.f64 (fma.f64 x x (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 x (.f64 (*.f64 x x) x)))
	74.5%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x)))
	19.0%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 (cos.f64 x) x))) (.f64 x (.f64 (.f64 x x) x))) x)
	50.0%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	51.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	4.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) x)
	50.8%	(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
	51.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	19.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	50.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	48.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
✓	23.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	99.8%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
	43.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 (*.f64 x x) x))
	74.4%	(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x))
	26.0%	(/.f64 #s(approx (/ (pow (sin x) 2) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x))) (*.f64 x x))
	24.5%	(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	50.6%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.2%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	99.7%	(.f64 (/.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) x) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
	99.8%	(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
	75.0%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
	52.9%	(*.f64 #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
	51.7%	#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	51.2%	#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)))
✓	51.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	25.3%	#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))))
	25.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 #s(approx (- (/ 1/2 ( x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
✓	52.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 832 to 598 computations (28.1% saved)

regimes40.0ms (1.2%)

Memory

-10.7MiB live, 35.0MiB allocated; 5ms collecting garbage

Counts

58 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 #s(approx (- (/ 1/2 ( x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 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 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (-.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)))
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (pow (sin x) 2) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x))) (*.f64 x x))
(/.f64 #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))) (*.f64 x x))
(*.f64 #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 x (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x))) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 (cos.f64 x) x))) (.f64 x (.f64 (.f64 x x) x))) x)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) x)
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x) x) (/.f64 (sin.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 (-.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 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 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (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 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(.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 (sin.f64 x) x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (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 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 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (/.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 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))))))

Outputs
(.f64 (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))

Calls

2 calls:

26.0ms	x
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.8%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes24.0ms (0.7%)

Memory

-23.3MiB live, 22.9MiB allocated; 2ms collecting garbage

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 #s(approx (- (/ 1/2 ( x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 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 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (-.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)))
(/.f64 #s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (pow (sin x) 2) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x))) (*.f64 x x))
(/.f64 #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))) (*.f64 x x))
(*.f64 #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 x (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (neg.f64 x) (cos.f64 x)) (*.f64 x x))) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 (cos.f64 x) x))) (.f64 x (.f64 (.f64 x x) x))) x)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 x x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

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

Calls

2 calls:

13.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
9.0ms	x

Results

Accuracy	Segments	Branch
99.1%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.4%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
78.7%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
98.9%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
52.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
73.7%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 #s(approx (- (/ 1/2 ( x x)) 1/24) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 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
73.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.9b remaining (-3.1%)

Threshold costs -0.9b (-3.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
52.3%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch19.0ms (0.5%)

Memory

-33.9MiB live, 12.5MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.112029766614509e-5	0.09744815348651806

Samples

4.0ms	96×	0	valid
3.0ms	32×	1	valid

Compiler

Compiled 147 to 162 computations (-10.2% saved)

Precisions

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

ival-cos: 2.0ms (49.9% of total)

adjust: 1.0ms (24.9% of total)

ival-div!: 1.0ms (24.9% of total)

ival-mult!: 1.0ms (24.9% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.112029766614509e-5	0.09744815348651806

Compiler

Compiled 147 to 162 computations (-10.2% saved)

bsearch14.0ms (0.4%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.420895900521668e+35	2.5145056853171197e+39

Samples

8.0ms

128×

valid

Compiler

Compiled 187 to 194 computations (-3.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 4.0ms (68.6% of total)

ival-mult!: 1.0ms (17.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch14.0ms (0.4%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0114557903524062e+76	1.4539017513837836e+80

Samples

8.0ms

128×

valid

Compiler

Compiled 131 to 146 computations (-11.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 5.0ms (82.5% of total)

ival-mult!: 1.0ms (16.5% of total)

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

adjust: 0.0ms (0% of total)

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

derivations139.0ms (4%)

Memory

-7.3MiB live, 87.1MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 59 to 43 computations (27.1% saved)

preprocess113.0ms (3.3%)

Memory: -12.3MiB live, 129.4MiB allocated; 64ms collecting garbage
Remove: (abs x)
Compiler: Compiled 255 to 229 computations (10.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.8s (51.6%)

preprocess71.0ms (2.1%)

series3.0ms (0.1%)

rewrite118.0ms (3.4%)

eval8.0ms (0.2%)

prune9.0ms (0.3%)

series76.0ms (2.2%)

rewrite165.0ms (4.8%)

eval199.0ms (5.8%)

prune21.0ms (0.6%)

series13.0ms (0.4%)

rewrite157.0ms (4.5%)

eval64.0ms (1.9%)

prune31.0ms (0.9%)

series52.0ms (1.5%)

rewrite189.0ms (5.5%)

eval62.0ms (1.8%)

prune45.0ms (1.3%)

regimes40.0ms (1.2%)

regimes24.0ms (0.7%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch19.0ms (0.5%)

bsearch1.0ms (0%)

bsearch14.0ms (0.4%)

bsearch14.0ms (0.4%)

derivations139.0ms (4%)

preprocess113.0ms (3.3%)

end0.0ms (0%)

Profiling