Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (51%)

Memory

27.7MiB live, 2 012.2MiB allocated; 346ms collecting garbage

Samples

613.0ms	2 222×	2	valid
336.0ms	696×	3	valid
334.0ms	4 141×	0	valid
110.0ms	1 197×	1	valid

Precisions

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

ival-cos: 804.0ms (70.7% of total)

adjust: 112.0ms (9.9% of total)

ival-mult!: 99.0ms (8.7% of total)

ival-div!: 68.0ms (6% of total)

ival-sub!: 54.0ms (4.8% of total)

Bogosity

explain143.0ms (4.2%)

Memory

-4.3MiB live, 95.6MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
77	2	(1.5866222168769096e+285)	1	(-5.698924585525793e+255)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
61	1	(1.6436253902914268e+161)	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	78	3
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	58	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	58
↳	`(*.f64 x x)`	underflow	58
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	4	0
↳	`(*.f64 x x)`	overflow	55

Confusion

	Predicted +	Predicted -
+	135	0
-	5	116

Precision

0.9642857142857143

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	5	3	113

Precision?

0.9440559440559441

Recall?

1.0

Freqs

test

number	freq
0	116
1	140

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

37.0ms	142×	2	valid
28.0ms	80×	1	valid
19.0ms	256×	0	valid
11.0ms	34×	3	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-cos: 60.0ms (76.9% of total)

adjust: 6.0ms (7.7% of total)

ival-mult!: 5.0ms (6.4% of total)

ival-div!: 4.0ms (5.1% of total)

ival-sub!: 3.0ms (3.8% of total)

preprocess166.0ms (4.8%)

Memory

12.3MiB live, 105.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	46	25
2	112	25
3	187	25
4	405	24
5	1957	24
0	6	8
0	10	8
1	27	8
2	65	8
3	129	8
4	298	8
5	1569	8
0	8370	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

series3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

6 → 17

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite106.0ms (3.1%)

Memory

10.1MiB live, 106.2MiB allocated; 13ms 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 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) 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 (sin.f64 x) (sin.f64 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 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 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 (sin.f64 x) (sin.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))) (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 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.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))
(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)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(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 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.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 (fma.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)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.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 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval7.0ms (0.2%)

Memory: -37.1MiB live, 10.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 991 to 230 computations (76.8% saved)

prune9.0ms (0.3%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	57	14	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	15	72

Accuracy

100.0%

Counts

72 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x))
	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	76.4%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
	50.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
▶	16.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (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)))))) (.f64 x x))
▶	50.5%	(/.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)))
✓	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	23.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	76.4%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
	51.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.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)) (.f64 x x) #s(literal 1/2 binary64)))
▶	51.2%	#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 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	51.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 460 to 294 computations (36.1% saved)

series17.0ms (0.5%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

28 → 90

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(*.f64 x x)
#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 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
#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))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 x x) (*.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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (* (sin x) (sin 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 (* (sin x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* 1/720 (* x x)) #s(hole binary64 (* 1/720 (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 (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* 3/2 (pow x 2))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* -7/8 (pow x 2))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* 61/240 (pow x 2)) 7/8))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* (pow x 2) (+ 61/240 (* -547/13440 (pow x 2)))) 7/8))))))
#s(approx (pow (cos x) 3) #s(hole binary64 1))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* -3/2 (pow x 2)))))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2)))))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2)))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -3/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (/ (- 1 (pow (cos x) 3)) (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x))))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (- 1 (pow (cos x) 3))))
#s(approx (pow (cos x) 3) #s(hole binary64 (pow (cos x) 3)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x)))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 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)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1))
6.0ms	x	@	-inf	((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 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)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1))
3.0ms	x	@	0	((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 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)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1))

Time

Variable

Point

Expression

7.0ms

inf

((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 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)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1))

6.0ms

-inf

((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 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)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1))

3.0ms

((/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* (sin x) (sin x)) (sin x) x (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 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)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) (- 1 (pow (cos x) 3)) (pow (cos x) 3) 3 (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (+ (* (cos x) (+ (cos x) 1)) 1))

rewrite166.0ms (4.8%)

Memory

5.5MiB live, 188.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1984
0	345	1837
1	1503	1707
0	8289	1625

Stop Event

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

Counts

118 → 680

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(*.f64 x x)
#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 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
#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))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 x x) (*.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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (* (sin x) (sin 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 (* (sin x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* 1/720 (* x x)) #s(hole binary64 (* 1/720 (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 (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* 3/2 (pow x 2))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* -7/8 (pow x 2))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* 61/240 (pow x 2)) 7/8))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (* (pow x 2) (+ 3/2 (* (pow x 2) (- (* (pow x 2) (+ 61/240 (* -547/13440 (pow x 2)))) 7/8))))))
#s(approx (pow (cos x) 3) #s(hole binary64 1))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* -3/2 (pow x 2)))))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/8 (pow x 2)) 3/2)))))
#s(approx (pow (cos x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/8 (* -61/240 (pow x 2)))) 3/2)))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* -3/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))))))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 3))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* -3/2 (pow x 2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -11/240 (pow x 2)))) 3/2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- 1 (pow (cos x) 3)) (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x))) #s(hole binary64 (/ (- 1 (pow (cos x) 3)) (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x))))))))
#s(approx (- 1 (pow (cos x) 3)) #s(hole binary64 (- 1 (pow (cos x) 3))))
#s(approx (pow (cos x) 3) #s(hole binary64 (pow (cos x) 3)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (cos x) (+ 1 (cos x)))))))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(hole binary64 (+ 1 (* (cos x) (+ 1 (cos x))))))

Outputs
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (fabs.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (sin.f64 x) (.f64 #s(literal 1 binary64) x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) (cos.f64 x)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x) (.f64 (*.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (cos.f64 x))) (.f64 (neg.f64 (.f64 x x)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.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))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (.f64 (neg.f64 (.f64 x x)) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 x x) (/.f64 (.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 x x))) (/.f64 x (neg.f64 (.f64 x x))) (/.f64 (.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 (.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))))) (/.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)))))))
(+.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 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 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (sin x) (sin x)) (*.f64 x x))
#s(approx (* (sin x) (sin x)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (sin x) (sin x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (sin x) (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (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 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (-.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 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.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)) (*.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 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* 1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (* 1/720 (* x x)) (.f64 (.f64 x x) #s(literal 1/720 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 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* 1 (* x x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #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)) (pow.f64 x #s(literal 4 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 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (pow (cos x) 3)) (.f64 #s(literal 3/2 binary64) (.f64 x x)))
#s(approx (- 1 (pow (cos x) 3)) (.f64 (fma.f64 #s(literal -7/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (pow (cos x) 3)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 61/240 binary64) (.f64 x x)) #s(literal 7/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (pow (cos x) 3)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -547/13440 binary64) (.f64 x x) #s(literal 61/240 binary64)) (.f64 x x)) #s(literal 7/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)))
#s(approx (pow (cos x) 3) #s(literal 1 binary64))
#s(approx (pow (cos x) 3) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cos x) 3) (fma.f64 (-.f64 (.f64 #s(literal 7/8 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cos x) 3) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -61/240 binary64) (.f64 x x) #s(literal 7/8 binary64)) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (.f64 x x) #s(literal 3 binary64)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (fma.f64 #s(literal -3/2 binary64) (.f64 x x) #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 3 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -11/240 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 3 binary64)) (.f64 x x)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) #s(literal 3 binary64))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 3 binary64)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 3 binary64)))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -11/240 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 3 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (sin x) (sin x)) (pow.f64 (sin.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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
#s(approx (- (* 1/720 (* x x)) 1/24) (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 x x) (cos.f64 x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- 1 (pow (cos x) 3)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
#s(approx (pow (cos x) 3) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
#s(approx (* (+ (* (cos x) (+ (cos x) 1)) 1) (* x x)) (.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
#s(approx (+ (* (cos x) (+ (cos x) 1)) 1) (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)))

eval114.0ms (3.3%)

Memory: -23.8MiB live, 120.6MiB allocated; 67ms collecting garbage
Compiler: Compiled 19 648 to 2 358 computations (88% saved)

prune25.0ms (0.7%)

Memory

6.2MiB live, 56.9MiB allocated; 5ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	792	15	807
Fresh	6	3	9
Picked	4	1	5
Done	0	1	1
Total	802	20	822

Accuracy

100.0%

Counts

822 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.2%	(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
	76.4%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
	29.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
▶	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	16.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
	16.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	23.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	16.9%	(/.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
	50.5%	(/.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
	76.7%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	16.9%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
	51.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.4%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
	76.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
	50.7%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	51.2%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
▶	50.6%	#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)))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 662 to 370 computations (44.1% saved)

series18.0ms (0.5%)

Memory

-21.9MiB live, 24.7MiB allocated; 2ms collecting garbage

Counts

29 → 95

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (neg x) (* x (cos x)))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* x (cos x)))) (* (neg x) (* x (cos x))) (neg x) (* x (cos x)) (* (* x x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (pow x 4) 4)
7.0ms	x	@	inf	((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (neg x) (* x (cos x)))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* x (cos x)))) (* (neg x) (* x (cos x))) (neg x) (* x (cos x)) (* (* x x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (pow x 4) 4)
3.0ms	x	@	0	((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (neg x) (* x (cos x)))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* x (cos x)))) (* (neg x) (* x (cos x))) (neg x) (* x (cos x)) (* (* x x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (pow x 4) 4)

Time

Variable

Point

Expression

7.0ms

-inf

((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (neg x) (* x (cos x)))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* x (cos x)))) (* (neg x) (* x (cos x))) (neg x) (* x (cos x)) (* (* x x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (pow x 4) 4)

7.0ms

inf

((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (neg x) (* x (cos x)))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* x (cos x)))) (* (neg x) (* x (cos x))) (neg x) (* x (cos x)) (* (* x x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (pow x 4) 4)

3.0ms

((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (neg x) (* x (cos x)))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* x (cos x)))) (* (neg x) (* x (cos x))) (neg x) (* x (cos x)) (* (* x x) (* x x)) (/ (- (* x x) (* (* x x) (cos x))) (pow x 4)) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (pow x 4) 4)

rewrite159.0ms (4.6%)

Memory

40.4MiB live, 179.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	1955
0	305	1841
1	1134	1677
0	8572	1608

Stop Event

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

Counts

124 → 1 044

Calls

Call 1

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

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

eval67.0ms (1.9%)

Memory: 10.3MiB live, 101.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 15 230 to 1 987 computations (87% saved)

prune34.0ms (1%)

Memory

-42.1MiB live, 59.0MiB allocated; 10ms collecting garbage

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	728	15	743
Fresh	6	7	13
Picked	3	2	5
Done	0	2	2
Total	737	26	763

Accuracy

100.0%

Counts

763 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.4%	(fma.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
	50.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
▶	17.3%	(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	76.4%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
	29.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	50.4%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	29.4%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
	77.4%	(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) x)
	29.1%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
	16.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 x x)))
	16.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	23.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	1.9%	(/.f64 (+.f64 (.f64 x x) #s(approx ( (neg x) (* x (cos x))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (.f64 (.f64 x x) (.f64 x x)))
	16.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
▶	16.9%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
	76.7%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	51.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	99.7%	(.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) x))))
▶	52.6%	(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
	50.7%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	51.2%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	50.6%	#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)))
	76.8%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 857 to 490 computations (42.8% saved)

series15.0ms (0.4%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

32 → 96

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) 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) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 x))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 (* x (+ 1 (* -1/8 (pow x 2))))))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8))))))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8))))))
#s(approx (cos (* -1/2 x)) #s(hole binary64 1))
#s(approx (cos (* -1/2 x)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (cos (* -1/2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))))
#s(approx (cos (* -1/2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 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 x) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x 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 (+ (* (* (neg (cos x)) x) x) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* (* (neg (cos x)) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (* (neg (cos x)) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (* (neg (cos x)) x) 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 (* (neg (cos x)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (neg (cos x)) x) #s(hole binary64 (* x (- (* 1/2 (pow x 2)) 1))))
#s(approx (* (neg (cos x)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (* (neg (cos x)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (neg (cos x)) #s(hole binary64 -1))
#s(approx (neg (cos x)) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 1/2))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow 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 (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 (* (- 1 (cos x)) x) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* -1/2 x))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 (* x (cos (* -1/2 x)))))
#s(approx (cos (* -1/2 x)) #s(hole binary64 (cos (* -1/2 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 (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* (* (neg (cos x)) x) x) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (* (neg (cos x)) x) #s(hole binary64 (* -1 (* x (cos x)))))
#s(approx (neg (cos x)) #s(hole binary64 (* -1 (cos x))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* x (- 1 (cos x)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 (* (cos (* -1/2 x)) x) (cos (* -1/2 x)) (* -1/2 x) -1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x) (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg (cos x)) x) x) (* x x)) (* (neg (cos x)) x) (neg (cos x)) (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) (pow x 4) 4)
5.0ms	x	@	inf	((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 (* (cos (* -1/2 x)) x) (cos (* -1/2 x)) (* -1/2 x) -1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x) (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg (cos x)) x) x) (* x x)) (* (neg (cos x)) x) (neg (cos x)) (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) (pow x 4) 4)
3.0ms	x	@	0	((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 (* (cos (* -1/2 x)) x) (cos (* -1/2 x)) (* -1/2 x) -1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x) (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg (cos x)) x) x) (* x x)) (* (neg (cos x)) x) (neg (cos x)) (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) (pow x 4) 4)

Time

Variable

Point

Expression

6.0ms

-inf

((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 (* (cos (* -1/2 x)) x) (cos (* -1/2 x)) (* -1/2 x) -1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x) (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg (cos x)) x) x) (* x x)) (* (neg (cos x)) x) (neg (cos x)) (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) (pow x 4) 4)

5.0ms

inf

((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 (* (cos (* -1/2 x)) x) (cos (* -1/2 x)) (* -1/2 x) -1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x) (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg (cos x)) x) x) (* x x)) (* (neg (cos x)) x) (neg (cos x)) (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) (pow x 4) 4)

3.0ms

((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 (* (cos (* -1/2 x)) x) (cos (* -1/2 x)) (* -1/2 x) -1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (tan (/ x 2)) x) (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg (cos x)) x) x) (* x x)) (* (neg (cos x)) x) (neg (cos x)) (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) (pow x 4) 4)

rewrite155.0ms (4.5%)

Memory

-6.7MiB live, 181.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1893
0	335	1806
1	1279	1715
0	8642	1637

Stop Event

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

Counts

128 → 591

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) x))))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
#s(approx (/ (tan (/ x 2)) x) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x))
(*.f64 (neg.f64 (cos.f64 x)) x)
(neg.f64 (cos.f64 x))
(cos.f64 x)
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) 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) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 x))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 (* x (+ 1 (* -1/8 (pow x 2))))))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8))))))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8))))))
#s(approx (cos (* -1/2 x)) #s(hole binary64 1))
#s(approx (cos (* -1/2 x)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (cos (* -1/2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))))
#s(approx (cos (* -1/2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 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 x) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x 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 (+ (* (* (neg (cos x)) x) x) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* (* (neg (cos x)) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (* (neg (cos x)) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (* (neg (cos x)) x) 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 (* (neg (cos x)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (neg (cos x)) x) #s(hole binary64 (* x (- (* 1/2 (pow x 2)) 1))))
#s(approx (* (neg (cos x)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (* (neg (cos x)) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (neg (cos x)) #s(hole binary64 -1))
#s(approx (neg (cos x)) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))
#s(approx (neg (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 1/2))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow 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 (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 (* (- 1 (cos x)) x) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* -1/2 x))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (cos (* -1/2 x)) x) #s(hole binary64 (* x (cos (* -1/2 x)))))
#s(approx (cos (* -1/2 x)) #s(hole binary64 (cos (* -1/2 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 (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* (* (neg (cos x)) x) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* (* (neg (cos x)) x) x) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (* (neg (cos x)) x) #s(hole binary64 (* -1 (* x (cos x)))))
#s(approx (neg (cos x)) #s(hole binary64 (* -1 (cos x))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* x (- 1 (cos x)))))

Outputs
(.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)))
(.f64 #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x)))) (neg.f64 x))
(/.f64 (.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sin.f64 x)
x
#s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x))) (neg.f64 (.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) x) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x))
(neg.f64 (/.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x)))
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(-.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 (cos.f64 x) x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 x))) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x))))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 (.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x))))))
(+.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 (neg.f64 x) (cos.f64 x))) (.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 x) (cos.f64 x)) (.f64 (neg.f64 x) (cos.f64 x)) (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)))))
(fma.f64 (neg.f64 x) (cos.f64 x) x)
(fma.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64) x)
(fma.f64 (neg.f64 (cos.f64 x)) x x)
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x) x)
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(fma.f64 x (neg.f64 (cos.f64 x)) x)
(+.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x)
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)))
(neg.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (/.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 4 binary64)
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) 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) x) (/ (tan (/ x 2)) x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x))
#s(approx x x)
#s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64))
#s(approx (/ (tan (/ x 2)) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) x) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) #s(literal 1/2 binary64))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/3840 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (cos (* -1/2 x)) x) x)
#s(approx (* (cos (* -1/2 x)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) x))
#s(approx (* (cos (* -1/2 x)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/8 binary64)) x))
#s(approx (* (cos (* -1/2 x)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/384 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/46080 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (cos (* -1/2 x)) #s(literal 1 binary64))
#s(approx (cos (* -1/2 x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* -1/2 x)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* -1/2 x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/46080 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (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) (pow x 4)) (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 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))
(neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (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) (pow x 4)) (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (neg (cos x)) x) (neg.f64 x))
#s(approx (* (neg (cos x)) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x))
#s(approx (* (neg (cos x)) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (* (neg (cos x)) x) (.f64 (fma.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(literal -1 binary64)) x))
#s(approx (neg (cos x)) #s(literal -1 binary64))
#s(approx (neg (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.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(literal -1 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (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) (pow x 4)) (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (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) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (sin (* 1/2 x)) (* (cos (* -1/2 x)) x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (cos (* -1/2 x)) x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (cos (* -1/2 x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (/.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 (* (neg (cos x)) x) (*.f64 (neg.f64 x) (cos.f64 x)))
#s(approx (neg (cos x)) (neg.f64 (cos.f64 x)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (/.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 (cos x)) x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval55.0ms (1.6%)

Memory: -10.0MiB live, 81.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 11 734 to 1 585 computations (86.5% saved)

prune34.0ms (1%)

Memory

-2.0MiB live, 57.3MiB allocated; 9ms collecting garbage

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	563	6	569
Fresh	4	13	17
Picked	0	5	5
Done	0	4	4
Total	567	28	595

Accuracy

100.0%

Counts

595 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.4%	(fma.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
	50.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
	17.3%	(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
✓	17.3%	(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	2.3%	(/.f64 (fma.f64 (.f64 #s(approx (neg (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) x) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
	2.6%	(/.f64 (fma.f64 #s(approx (* (neg (cos x)) x) (neg.f64 x)) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
	76.4%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
	29.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
	50.4%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	29.4%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
	29.1%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
	16.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 x x)))
	16.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	50.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	23.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	16.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
✓	16.9%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
	99.8%	(/.f64 (.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) x)
	51.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	23.4%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.7%	(.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) x))))
✓	52.6%	(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
	50.7%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	51.2%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	50.6%	#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)))
	76.8%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓	51.9%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 399 to 486 computations (65.3% saved)

regimes27.0ms (0.8%)

Memory

-8.0MiB live, 38.7MiB allocated; 2ms collecting garbage

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* 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 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.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)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(approx (* (neg (cos x)) x) (neg.f64 x)) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(approx (neg (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) x) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (+.f64 (.f64 x x) #s(approx ( (neg x) (* x (cos x))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) x)
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) x)
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (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)))))) (.f64 x x))
(/.f64 (.f64 (fma.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))

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

Calls

2 calls:

12.0ms	x
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes20.0ms (0.6%)

Memory

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

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* 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 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.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)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(approx (* (neg (cos x)) x) (neg.f64 x)) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(approx (neg (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) x) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (+.f64 (.f64 x x) #s(approx ( (neg x) (* x (cos x))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) x)
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))

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

Calls

2 calls:

10.0ms	x
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes19.0ms (0.6%)

Memory

-20.3MiB live, 27.0MiB allocated; 1ms collecting garbage

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* 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 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.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)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(approx (* (neg (cos x)) x) (neg.f64 x)) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(approx (neg (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) x) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (+.f64 (.f64 x x) #s(approx ( (neg x) (* x (cos x))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (neg.f64 (cos.f64 x)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 x x)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Outputs

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

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

Calls

2 calls:

9.0ms	x
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.8%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.6%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
72.6%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Accuracy

Total -1.0b remaining (-3.1%)

Threshold costs -1b (-3.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (/ (- (* 1 (* 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)))

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
51.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
51.9%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.4%)

Memory

-32.7MiB live, 14.5MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.02983793929783595	11.478344003595762

Samples

7.0ms

128×

valid

Compiler

Compiled 371 to 218 computations (41.2% saved)

Precisions

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

ival-sub!: 2.0ms (47.5% of total)

ival-cos: 1.0ms (23.7% of total)

ival-mult!: 1.0ms (23.7% of total)

ival-div!: 1.0ms (23.7% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.02983793929783595	11.478344003595762

Compiler

Compiled 371 to 218 computations (41.2% saved)

bsearch15.0ms (0.4%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.5408996060255133e+36	1.8365356402936877e+39

Samples

9.0ms

128×

valid

Compiler

Compiled 347 to 218 computations (37.2% saved)

Precisions

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

ival-cos: 5.0ms (79.8% of total)

ival-mult!: 1.0ms (16% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch16.0ms (0.5%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8153950378517732e+71	1.4815825073222203e+77

Samples

10.0ms

144×

valid

Compiler

Compiled 191 to 163 computations (14.7% saved)

Precisions

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

ival-cos: 5.0ms (75.7% of total)

ival-mult!: 1.0ms (15.1% of total)

ival-div!: 1.0ms (15.1% of total)

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

adjust: 0.0ms (0% of total)

simplify44.0ms (1.3%)

Memory

-44.7MiB live, 50.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	201
1	110	189
2	406	171
3	2409	171

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) x)
(if (<=.f64 x #s(literal 3242591731706757/36028797018963968 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3242591731706757/36028797018963968 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 639999999999999970480810124935753105408 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 59999999999999996395855892718367073181509239082549374496860282078218155982848 binary64)) #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)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) x) (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) x))) x)
(if (<=.f64 x #s(literal 3242591731706757/36028797018963968 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3242591731706757/36028797018963968 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 639999999999999970480810124935753105408 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 59999999999999996395855892718367073181509239082549374496860282078218155982848 binary64)) #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)))
(if (<=.f64 x #s(literal 59999999999999996395855892718367073181509239082549374496860282078218155982848 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x 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)))
#s(approx (/ (- 1 (cos x)) (* 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))

derivations175.0ms (5.1%)

Memory

10.2MiB live, 153.6MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 231 to 59 computations (74.5% saved)

preprocess40.0ms (1.2%)

Memory: 17.2MiB live, 63.9MiB allocated; 2ms collecting garbage
Remove: (abs x)
Compiler: Compiled 940 to 382 computations (59.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.8s (51%)

explain143.0ms (4.2%)

preprocess166.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

rewrite106.0ms (3.1%)

eval7.0ms (0.2%)

prune9.0ms (0.3%)

series17.0ms (0.5%)

rewrite166.0ms (4.8%)

eval114.0ms (3.3%)

prune25.0ms (0.7%)

series18.0ms (0.5%)

rewrite159.0ms (4.6%)

eval67.0ms (1.9%)

prune34.0ms (1%)

series15.0ms (0.4%)

rewrite155.0ms (4.5%)

eval55.0ms (1.6%)

prune34.0ms (1%)

regimes27.0ms (0.8%)

regimes20.0ms (0.6%)

regimes19.0ms (0.6%)

regimes5.0ms (0.1%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.4%)

bsearch1.0ms (0%)

bsearch15.0ms (0.4%)

bsearch16.0ms (0.5%)

simplify44.0ms (1.3%)

derivations175.0ms (5.1%)

preprocess40.0ms (1.2%)

end0.0ms (0%)

Profiling