Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.7s (58.6%)

Memory

29.9MiB live, 1 421.1MiB allocated; 396ms collecting garbage

Samples

732.0ms	2 277×	2	valid
334.0ms	4 150×	0	valid
291.0ms	670×	3	valid
109.0ms	1 159×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 894.0ms (72.1% of total)

adjust: 182.0ms (14.7% of total)

ival-div!: 66.0ms (5.3% of total)

ival-sub!: 50.0ms (4% of total)

ival-mult!: 47.0ms (3.8% of total)

Bogosity

preprocess39.0ms (1.3%)

Memory

-18.2MiB live, 34.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	46	25
2	112	25
3	187	25
4	405	24
5	1957	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(/.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

4.8MiB live, 4.8MiB 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))

rewrite92.0ms (3.2%)

Memory

16.9MiB live, 109.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	312	264
0	2707	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 (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) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.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 (neg.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)))
(-.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 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.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))

eval5.0ms (0.2%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 472 to 234 computations (50.4% saved)

prune9.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	49	14	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	15	64

Accuracy

99.8%

Counts

64 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(/.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))
	51.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	9.2%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
	50.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x x))
▶	50.1%	(/.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))
▶	13.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
	50.3%	(/.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)))
✓	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	27.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	50.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	51.0%	#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)))
▶	50.6%	#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)))
▶	50.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 388 to 326 computations (16% saved)

series20.0ms (0.7%)

Memory

-16.0MiB live, 30.8MiB allocated; 3ms collecting garbage

Counts

34 → 109

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	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 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) 1 (* (* x x) (cos x)) (cos x) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)
6.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (- 1 (cos x)) (* x x)) (+ (* (* (- (* (* (+ (* -1/40320 (* 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 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) 1 (* (* x x) (cos x)) (cos x) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)
5.0ms	x	@	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 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) 1 (* (* x x) (cos x)) (cos x) (* (* x x) (* x x)) (/ (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (* x x)) (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (/ 1 (+ (cos x) 1)) (+ (cos x) 1) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2)

Time

Variable

Point

Expression

7.0ms

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

6.0ms

-inf

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

5.0ms

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

rewrite179.0ms (6.1%)

Memory

-16.0MiB live, 226.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	2605
0	386	2208
1	1567	2168
0	8101	2129

Stop Event

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

Counts

143 → 615

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

Outputs
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
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(+.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
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(sin.f64 (+.f64 (neg.f64 (+.f64 x x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(literal 2 binary64)
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#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
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#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 (* x x)) (*.f64 x x))
#s(approx x x)
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#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)))
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#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (*.f64 #s(literal -1/24 binary64) x))
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#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(literal -1/24 binary64))
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#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))
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#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
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#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
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#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/40320 binary64)))
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#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/40320 binary64)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
#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 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 x x) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (cos x) 1)) (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ 1 (+ (cos x) 1)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(approx (+ (cos x) 1) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(approx (/ (+ 1/2 (* 1/2 (cos (* 2 x)))) (+ (cos x) 1)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (neg.f64 (.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) x) (neg.f64 (.f64 (+.f64 #s(literal 1/40320 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (neg.f64 (.f64 (-.f64 #s(literal 1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))

eval64.0ms (2.2%)

Memory: 24.1MiB live, 114.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 8 300 to 2 891 computations (65.2% saved)

prune31.0ms (1.1%)

Memory

15.5MiB live, 62.0MiB allocated; 3ms collecting garbage

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	688	21	709
Fresh	5	4	9
Picked	2	3	5
Done	0	1	1
Total	695	29	724

Accuracy

99.9%

Counts

724 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 x x)))
	14.3%	(/.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	50.1%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))) (.f64 x x))
	50.3%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (.f64 x x))
	25.4%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	50.3%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 x x))
	51.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	50.4%	(/.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))
	9.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)) (fma.f64 (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)) (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))))))
	50.2%	(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (*.f64 x x))
	50.3%	(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (*.f64 x x))
	50.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
	50.2%	(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (.f64 x x))
	14.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
	13.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	13.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
	50.3%	(/.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)))
✓	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	27.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	14.0%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
	15.7%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
	50.5%	(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)) (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) #s(literal 1/2 binary64)))
	50.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	51.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x))
	51.0%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* 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)))
✓	50.6%	#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)))
✓	50.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	27.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 075 to 767 computations (28.7% saved)

series27.0ms (0.9%)

Memory

-9.3MiB live, 42.7MiB allocated; 3ms collecting garbage

Counts

32 → 128

Calls

Call 1

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

Outputs
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 1/2))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#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)) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#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 (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* 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) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2 (* -7/6 (pow x 2))))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 107/360 (pow x 2)) 7/6))))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 107/360 (* -221/5040 (pow x 2)))) 7/6))))))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 1))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 1))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (+ 1 (* -9/4 (pow x 2)))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 19/16 (pow x 2)) 9/4)))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 19/16 (* -143/480 (pow x 2)))) 9/4)))))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 4))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 (+ 4 (* -2 (pow x 2)))))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 (+ 4 (* (pow x 2) (- (* 5/12 (pow x 2)) 2)))))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 5/12 (* -17/360 (pow x 2)))) 2)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 2) (- 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 (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (* 2 x)) (+ 1 (cos x))))) (* (pow x 2) (pow (+ 1 (cos x)) 2)))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (/ (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (* 2 x)) (+ 1 (cos x))))) (pow (+ 1 (cos x)) 2))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (* 2 x)) (+ 1 (cos x)))))))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 (* 1/2 (+ 1 (cos x)))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (* 1/2 (* (cos (* 2 x)) (+ 1 (cos x))))))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 (pow (+ 1 (cos x)) 2)))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (neg (* -2 x))) (+ 1 (cos x))))) (* (pow x 2) (pow (+ 1 (cos x)) 2)))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (/ (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (neg (* -2 x))) (+ 1 (cos x))))) (pow (+ 1 (cos x)) 2))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (neg (* -2 x))) (+ 1 (cos x)))))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (* 1/2 (* (cos (neg (* -2 x))) (+ 1 (cos x))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 x (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) (+ (cos x) 1) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* x x) (* x x)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (* x x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) (pow (+ (cos x) 1) 2) 2)
8.0ms	x	@	inf	((* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 x (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) (+ (cos x) 1) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* x x) (* x x)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (* x x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) (pow (+ (cos x) 1) 2) 2)
6.0ms	x	@	0	((* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 x (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (- 1 (cos (+ x x))) 1 (cos (+ x x)) (+ x x) (+ (cos x) 1) (cos x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) (* (* x x) (* x x)) (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (* x x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (- 1/2 (* (cos (+ x x)) 1/2)) (* (cos (+ x x)) 1/2) (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) (pow (+ (cos x) 1) 2) 2)

Time

Variable

Point

Expression

8.0ms

-inf

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

8.0ms

inf

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

6.0ms

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

rewrite217.0ms (7.5%)

Memory

21.7MiB live, 241.4MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	425	3323
0	483	2649
1	2193	2628
0	9076	2534

Stop Event

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

Counts

160 → 637

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))
#s(literal 1 binary64)
(cos.f64 (+.f64 x x))
(+.f64 x x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 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(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 1/2))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/12 (pow x 2))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/360 (pow x 2)) 1/12))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/360 (* -1/20160 (pow x 2)))) 1/12))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#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)) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#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 (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* 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) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2 (* -7/6 (pow x 2))))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 107/360 (pow x 2)) 7/6))))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 107/360 (* -221/5040 (pow x 2)))) 7/6))))))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 1))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 1))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (+ 1 (* -9/4 (pow x 2)))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 19/16 (pow x 2)) 9/4)))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 19/16 (* -143/480 (pow x 2)))) 9/4)))))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 4))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 (+ 4 (* -2 (pow x 2)))))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 (+ 4 (* (pow x 2) (- (* 5/12 (pow x 2)) 2)))))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 5/12 (* -17/360 (pow x 2)))) 2)))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 x))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1 (cos (* 2 x))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 2) (- 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 (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (* 2 x)) (+ 1 (cos x))))) (* (pow x 2) (pow (+ 1 (cos x)) 2)))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (/ (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (* 2 x)) (+ 1 (cos x))))) (pow (+ 1 (cos x)) 2))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (* 2 x)) (+ 1 (cos x)))))))
#s(approx (* 1/2 (+ (cos x) 1)) #s(hole binary64 (* 1/2 (+ 1 (cos x)))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (* 1/2 (* (cos (* 2 x)) (+ 1 (cos x))))))
#s(approx (pow (+ (cos x) 1) 2) #s(hole binary64 (pow (+ 1 (cos x)) 2)))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(hole binary64 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (* (pow x 2) (+ 1 (cos x)))))))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (* x (+ 1 (cos x))))))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) #s(hole binary64 (/ (- 1 (cos (neg (* -2 x)))) (+ 1 (cos x)))))
#s(approx (- 1 (cos (+ x x))) #s(hole binary64 (- 1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (/ (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1 (cos x)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (/ (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) (* x x)) #s(hole binary64 (/ (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (neg (* -2 x))) (+ 1 (cos x))))) (* (pow x 2) (pow (+ 1 (cos x)) 2)))))
#s(approx (/ (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (pow (+ (cos x) 1) 2)) #s(hole binary64 (/ (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (neg (* -2 x))) (+ 1 (cos x))))) (pow (+ 1 (cos x)) 2))))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) #s(hole binary64 (- (* 1/2 (+ 1 (cos x))) (* 1/2 (* (cos (neg (* -2 x))) (+ 1 (cos x)))))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(hole binary64 (* 1/2 (* (cos (neg (* -2 x))) (+ 1 (cos x))))))

Outputs
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (neg.f64 (.f64 x x)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x) #s(literal -1/2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) x) #s(literal 1/2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(/.f64 (.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (.f64 x x))
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(fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x)))))
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(-.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
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(+.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x)))))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))
(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x))))
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (fabs.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (exp.f64 (log.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.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 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.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 (cos.f64 x) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))
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#s(literal 2 binary64)
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) 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 (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) 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 (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x)
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (*.f64 x x))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- 1 (cos (+ x x))) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (- 1 (cos (+ x x))) (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos (+ x x))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 4/45 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
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#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) #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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.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)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (* x x)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 x x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (cos (+ x x)) 1/2) #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 (-.f64 (.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 (-.f64 (.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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (.f64 (fma.f64 #s(literal -7/6 binary64) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 107/360 binary64) (.f64 x x)) #s(literal 7/6 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -221/5040 binary64) (.f64 x x) #s(literal 107/360 binary64)) (.f64 x x)) #s(literal 7/6 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (* 1/2 (+ (cos x) 1)) #s(literal 1 binary64))
#s(approx (* 1/2 (+ (cos x) 1)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ (cos x) 1)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ (cos x) 1)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) #s(literal 1 binary64))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) (fma.f64 #s(literal -9/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) (fma.f64 (-.f64 (.f64 #s(literal 19/16 binary64) (.f64 x x)) #s(literal 9/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -143/480 binary64) (.f64 x x) #s(literal 19/16 binary64)) (.f64 x x)) #s(literal 9/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (+ (cos x) 1) 2) #s(literal 4 binary64))
#s(approx (pow (+ (cos x) 1) 2) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 4 binary64)))
#s(approx (pow (+ (cos x) 1) 2) (fma.f64 (-.f64 (.f64 #s(literal 5/12 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64)))
#s(approx (pow (+ (cos x) 1) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/360 binary64) (.f64 x x) #s(literal 5/12 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 4 binary64)))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(approx (- 1 (cos (+ x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (cos x) 1) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x))))))
#s(approx (* 1/2 (+ (cos x) 1)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (pow (+ (cos x) 1) 2) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(approx (- 1 (cos (+ x x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- (* 1/2 (+ (cos x) 1)) (* (+ (cos x) 1) (* (cos (+ x x)) 1/2))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x))))))
#s(approx (* (+ (cos x) 1) (* (cos (+ x x)) 1/2)) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))

eval66.0ms (2.3%)

Memory: -5.4MiB live, 83.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 8 946 to 2 776 computations (69% saved)

prune53.0ms (1.8%)

Memory

-15.8MiB live, 40.1MiB allocated; 45ms collecting garbage

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	753	13	766
Fresh	10	10	20
Picked	2	3	5
Done	0	4	4
Total	765	30	795

Accuracy

100.0%

Counts

795 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.3%	(/.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 x x)) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	76.3%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
	25.4%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	48.5%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))
▶	51.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	50.4%	(/.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))
	50.4%	(/.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)))
	25.3%	(/.f64 (/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 x x)) (.f64 x x))
	50.2%	(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (.f64 x x))
▶	14.0%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
	13.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
✓	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	27.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	50.4%	(/.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)))
	50.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
▶	13.1%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64)))
	14.0%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
✓	14.0%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
	13.1%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
	14.0%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (*.f64 x x) x) x))
	15.7%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
	50.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	76.9%	(.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
	29.3%	(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (.f64 x x)) x))
▶	51.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x))
	51.0%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* 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)))
✓	50.6%	#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)))
✓	50.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	27.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 734 to 665 computations (9.4% saved)

series63.0ms (2.2%)

Memory

15.1MiB live, 62.1MiB allocated; 6ms collecting garbage

Counts

28 → 97

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

Calls

3 calls:

Time	Variable		Point	Expression
35.0ms	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) (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (pow (exp (log x)) 4)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (pow (exp (log x)) 4) (exp (log x)) (log x) 4)
16.0ms	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) (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (pow (exp (log x)) 4)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (pow (exp (log x)) 4) (exp (log x)) (log x) 4)
11.0ms	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) (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (pow (exp (log x)) 4)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (pow (exp (log x)) 4) (exp (log x)) (log x) 4)

Time

Variable

Point

Expression

35.0ms

((* (/ (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) (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (pow (exp (log x)) 4)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (pow (exp (log x)) 4) (exp (log x)) (log x) 4)

16.0ms

-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) (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (pow (exp (log x)) 4)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (pow (exp (log x)) 4) (exp (log x)) (log x) 4)

11.0ms

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) (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (/ 1/2 x) 1/2 (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* (* x x) x) x) (* (* x x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (pow (exp (log x)) 4)) (- (* 1 (* x x)) (* (* x x) (cos x))) (* (- 1 (cos x)) (* x x)) (pow (exp (log x)) 4) (exp (log x)) (log x) 4)

rewrite93.0ms (3.2%)

Memory

-11.1MiB live, 33.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	2132
0	341	2006
0	1325	1936

Stop Event

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

Counts

125 → 191

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

Outputs
(.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(sin.f64 x)
x
(/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 x))
(cos.f64 x)
#s(literal 1 binary64)
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (sin.f64 x) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x))
(*.f64 #s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x)) x)
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x)
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (*.f64 x x) x)) x)
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x)))) (neg.f64 (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (.f64 x x) x) x))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))))))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) (cos.f64 x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (neg.f64 (.f64 x x)) (cos.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 (.f64 x x)) (cos.f64 x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(fma.f64 x x (.f64 (neg.f64 (.f64 x x)) (cos.f64 x)))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(+.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 x x))
(.f64 x (.f64 x (cos.f64 x)))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 (*.f64 x x) x))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (neg.f64 (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 (*.f64 x x) x))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
x
(log.f64 x)
#s(literal 4 binary64)
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) #s(literal 1/2 binary64))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin 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 (* (/ (sin x) (+ (cos x) 1)) (/ (sin 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 (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) 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 (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) 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 (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x)
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) 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)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (-.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 (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(literal 1/2 binary64))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.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)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos 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 1 binary64)) (.f64 x x)))
#s(approx (* (* (* x x) x) x) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) #s(literal 1/2 binary64))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.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)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* (* x x) x) x) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx x x)
#s(approx (log x) (log.f64 x))
#s(approx (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) (* x x))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#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 (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 x x) (cos.f64 x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* (* x x) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (- 1 (cos x)) (* x x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (* (/ 1/2 x) (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)))
#s(approx (log x) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))))

eval16.0ms (0.6%)

Memory: 23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 924 to 787 computations (59.1% saved)

prune26.0ms (0.9%)

Memory

-13.6MiB live, 31.7MiB allocated; 4ms collecting garbage

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	225	9	234
Fresh	8	10	18
Picked	2	3	5
Done	1	6	7
Total	236	28	264

Accuracy

100.0%

Counts

264 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.3%	(/.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 x x)) (cos.f64 x))) (.f64 (.f64 (*.f64 x x) x) x))
	76.9%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
	17.0%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (*.f64 x x) x)) x)
	25.4%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
✓	51.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	51.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	50.2%	(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (.f64 x x))
	1.5%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (*.f64 x x) x) x))
	14.0%	(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 (.f64 x x) x) x))
✓	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	27.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	50.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
	76.5%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
✓	13.1%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64)))
	14.0%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
✓	14.0%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
	13.1%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x))) (exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
	14.0%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (*.f64 x x) x) x))
	15.7%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
	50.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	77.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	29.3%	(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (.f64 x x)) x))
✓	51.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x))
	51.0%	#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)))
✓	50.6%	#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)))
✓	50.6%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
	27.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 055 to 577 computations (45.3% saved)

regimes36.0ms (1.2%)

Memory

-15.9MiB live, 32.2MiB allocated; 9ms collecting garbage

Counts

58 → 2

Calls

Call 1

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

Calls

2 calls:

19.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
13.0ms	x

Results

Accuracy	Segments	Branch
99.2%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.6%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes11.0ms (0.4%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

37 → 2

Calls

Call 1

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

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (/ (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) x) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(approx (/ (- 1 (cos (+ x x))) (+ (cos x) 1)) (.f64 x 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 (* x x)) (* (* x x) (cos x))) (* (* 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 (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 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
#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 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 #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
74.8%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.0%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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:

3.0ms

Results

Accuracy	Segments	Branch
76.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -0.9b remaining (-3%)

Threshold costs -0.9b (-3%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#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
51.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
51.8%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch18.0ms (0.6%)

Memory

-32.6MiB live, 13.8MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.209190879052071e-8	0.22822932317085426

Samples

7.0ms	80×	1	valid
3.0ms	64×	0	valid

Compiler

Compiled 218 to 235 computations (-7.8% saved)

Precisions

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

ival-cos: 3.0ms (44.5% of total)

adjust: 1.0ms (14.8% of total)

ival-sub!: 1.0ms (14.8% of total)

ival-div!: 1.0ms (14.8% of total)

ival-mult!: 1.0ms (14.8% of total)

bsearch2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	8.209190879052071e-8	0.22822932317085426

Samples

1.0ms

16×

valid

Compiler

Compiled 164 to 181 computations (-10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

adjust: 0.0ms (0% of total)

ival-cos: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.209190879052071e-8	0.22822932317085426

Compiler

Compiled 164 to 181 computations (-10.4% saved)

bsearch16.0ms (0.6%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.4052660976884565e+72	9.554452333405491e+79

Samples

10.0ms

144×

valid

Compiler

Compiled 146 to 163 computations (-11.6% saved)

Precisions

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

ival-cos: 5.0ms (72.9% of total)

ival-mult!: 1.0ms (14.6% of total)

ival-div!: 1.0ms (14.6% of total)

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

adjust: 0.0ms (0% of total)

derivations67.0ms (2.3%)

Memory

-10.2MiB live, 35.4MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 50 to 39 computations (22% saved)

preprocess36.0ms (1.2%)

Memory: 10.1MiB live, 55.1MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 230 to 215 computations (6.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.7s (58.6%)

preprocess39.0ms (1.3%)

series3.0ms (0.1%)

rewrite92.0ms (3.2%)

eval5.0ms (0.2%)

prune9.0ms (0.3%)

series20.0ms (0.7%)

rewrite179.0ms (6.1%)

eval64.0ms (2.2%)

prune31.0ms (1.1%)

series27.0ms (0.9%)

rewrite217.0ms (7.5%)

eval66.0ms (2.3%)

prune53.0ms (1.8%)

series63.0ms (2.2%)

rewrite93.0ms (3.2%)

eval16.0ms (0.6%)

prune26.0ms (0.9%)

regimes36.0ms (1.2%)

regimes11.0ms (0.4%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch18.0ms (0.6%)

bsearch2.0ms (0.1%)

bsearch1.0ms (0%)

bsearch16.0ms (0.6%)

derivations67.0ms (2.3%)

preprocess36.0ms (1.2%)

end0.0ms (0%)

Profiling