Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.0s (48.6%)

Memory

-4.2MiB live, 1 852.5MiB allocated; 518ms collecting garbage

Samples

603.0ms	2 135×	2	valid
559.0ms	4 253×	0	valid
412.0ms	724×	3	valid
102.0ms	1 144×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-cos: 1.0s (73.9% of total)

adjust: 132.0ms (9.5% of total)

ival-mult!: 103.0ms (7.4% of total)

ival-div!: 73.0ms (5.3% of total)

ival-sub!: 52.0ms (3.8% of total)

Bogosity

explain156.0ms (3.8%)

Memory

-5.5MiB live, 140.6MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
75	-	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
63	-	1	(8.156003496447919e-159)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	75	4
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	60	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	60
↳	`(*.f64 x x)`	underflow	60
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	2	0
↳	`(*.f64 x x)`	overflow	61

Confusion

	Predicted +	Predicted -
+	132	0
-	5	119

Precision

0.9635036496350365

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	5	3	116

Precision?

0.9428571428571428

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	130×	2	valid
19.0ms	258×	0	valid
17.0ms	40×	3	valid
8.0ms	84×	1	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 (76.7% 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)

preprocess200.0ms (4.9%)

Memory

29.9MiB live, 217.0MiB allocated; 28ms 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: 0.1MiB live, 0.1MiB 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
▶	50.6%	(/.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

5.3MiB live, 5.3MiB 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))

rewrite114.0ms (2.8%)

Memory

-38.1MiB live, 153.1MiB allocated; 21ms 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))

eval6.0ms (0.2%)

Memory: 14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 991 to 230 computations (76.8% saved)

prune9.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB 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
	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	75.7%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
	10.4%	(/.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)))))
	50.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x x))
▶	14.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	50.6%	(/.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)))
✓	50.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	48.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	25.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	75.9%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
	51.2%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	51.4%	#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)))
▶	51.7%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	51.0%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	52.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 508 to 292 computations (42.5% saved)

series14.0ms (0.3%)

Memory

-12.9MiB live, 34.5MiB allocated; 1ms collecting garbage

Counts

24 → 75

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* 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)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))
4.0ms	x	@	inf	((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* 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)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))
3.0ms	x	@	0	((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* 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)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))

Time

Variable

Point

Expression

5.0ms

-inf

((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* 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)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))

4.0ms

inf

((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* 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)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))

3.0ms

((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* 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)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))

rewrite201.0ms (4.9%)

Memory

-7.4MiB live, 225.3MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1639
0	265	1531
1	1056	1371
0	8396	1298

Stop Event

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

Counts

99 → 758

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(.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 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (fabs.f64 (sin.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 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.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) (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) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(.f64 (fabs.f64 (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(/.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 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (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 (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 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(/.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 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #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) (pow.f64 x #s(literal -2 binary64))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))
(/.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 (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) 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 (-.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 (cos.f64 x) x) x))) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) 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 (/.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 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) (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) 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 (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 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) (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))))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.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 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x x) x) (/.f64 (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (.f64 x 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 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (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 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.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 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x x) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.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 x (.f64 x x)) (/.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 x x) (/.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 #s(literal 1 binary64) x) (/.f64 (.f64 x 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 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
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(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
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(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
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#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)))
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#s(approx (* (sin x) (sin x)) (*.f64 x x))
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#s(approx (* (sin x) (sin x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)))
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#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))
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#s(approx x x)
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#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x))
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#s(approx (+ (cos x) 1) #s(literal 2 binary64))
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#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 (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 (* 1 (* x x)) (*.f64 x x))
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#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
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#s(approx (* 1/720 (* x x)) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
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#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
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#s(approx (* (sin x) (sin x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (sin x) (sin.f64 x))
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#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
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#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 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 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 (* 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))
#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)))

eval84.0ms (2%)

Memory: -10.1MiB live, 186.0MiB allocated; 21ms collecting garbage
Compiler: Compiled 19 356 to 2 348 computations (87.9% saved)

prune26.0ms (0.6%)

Memory

18.5MiB live, 72.8MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	883	14	897
Fresh	6	3	9
Picked	4	1	5
Done	0	1	1
Total	893	19	912

Accuracy

100.0%

Counts

912 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.3%	(/.f64 (fma.f64 (.f64 (neg.f64 x) x) (cos.f64 x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	75.7%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))
	27.1%	(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) x) x)
	10.1%	(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x x) (.f64 x x)))
▶	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	27.0%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
✓	50.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	25.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	14.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
▶	75.9%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	52.3%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
	14.2%	(/.f64 (.f64 x (-.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
	51.2%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	99.3%	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	76.5%	(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
	51.4%	#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)))
	51.7%	#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)))
▶	51.0%	#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)))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 630 to 370 computations (41.3% saved)

series14.0ms (0.3%)

Memory

-23.8MiB live, 23.4MiB allocated; 2ms collecting garbage

Counts

24 → 87

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) 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) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))
5.0ms	x	@	-inf	((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) 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) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))
2.0ms	x	@	0	((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) 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) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))

Time

Variable

Point

Expression

6.0ms

inf

((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) 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) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))

5.0ms

-inf

((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) 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) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))

2.0ms

((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) 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) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)))

rewrite221.0ms (5.4%)

Memory

19.9MiB live, 205.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1806
0	273	1718
1	1002	1568
2	7996	1568
0	8001	1511

Stop Event

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

Counts

111 → 964

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) x))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
(*.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) #s(literal 1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (neg.f64 x) x)) (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x x) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 (neg.f64 x) x)) (/.f64 x (.f64 (neg.f64 x) x)))
(.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 x x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (fabs.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fabs.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) (*.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (/.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 x x)))
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (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 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.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 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(/.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 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #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) (pow.f64 x #s(literal -2 binary64))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (neg.f64 x))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
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(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(+.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 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.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 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.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(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 (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) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (/ (sin x) x) x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (sin x) x) x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (sin x) x) x) (/.f64 (fma.f64 (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)) x))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (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)) (*.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 (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 (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 (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 (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 (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 (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) (* x x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* x 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)) x) x) (* x 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)) x) x) (* x 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 (* (* (- 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 (/ (/ (- 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 (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)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
#s(approx (/ (/ (sin x) x) x) (/.f64 (/.f64 (sin.f64 x) x) x))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (/ (- 1 (cos 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 (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))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* x x)) (-.f64 #s(literal 1 binary64) (cos.f64 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))
#s(approx (/ (/ (- 1 (cos x)) x) x) (.f64 (/.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (sin.f64 x)))
#s(approx (- 1 (cos x)) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))

eval93.0ms (2.3%)

Memory: -5.2MiB live, 135.3MiB allocated; 37ms collecting garbage
Compiler: Compiled 13 513 to 1 832 computations (86.4% saved)

prune69.0ms (1.7%)

Memory

1.2MiB live, 88.9MiB allocated; 20ms collecting garbage

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	683	13	696
Fresh	7	5	12
Picked	2	3	5
Done	0	2	2
Total	692	23	715

Accuracy

100.0%

Counts

715 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
	27.1%	(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) x) x)
	27.1%	(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (neg.f64 x)) (neg.f64 x)) (*.f64 x x))
	76.7%	(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x) x)
▶	27.0%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 x x)) (*.f64 x x))
▶	50.6%	(/.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)
✓	27.0%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
	16.5%	(/.f64 (/.f64 (.f64 (.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x) (.f64 x x)) (.f64 x x))
	77.0%	(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
	27.0%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
▶	28.5%	(/.f64 (/.f64 #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))) x) x)
✓	50.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	25.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	14.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	51.6%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)
	75.9%	(/.f64 (.f64 (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
▶	99.3%	(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
	51.6%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
	51.4%	#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)))
	51.7%	#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)))
✓	51.0%	#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)))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 721 to 429 computations (40.5% saved)

series39.0ms (1%)

Memory

6.3MiB live, 50.2MiB allocated; 12ms collecting garbage

Counts

37 → 126

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (cos x) (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (- (* x x) (* (* (cos x) x) x)) (* (* (cos x) x) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* 1/720 x) 1/720 (- (* (pow x 4) -1/40320) 1/24) (* (pow x 4) -1/40320) (pow x 4) 4 -1/40320 1/24)
5.0ms	x	@	0	((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (cos x) (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (- (* x x) (* (* (cos x) x) x)) (* (* (cos x) x) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* 1/720 x) 1/720 (- (* (pow x 4) -1/40320) 1/24) (* (pow x 4) -1/40320) (pow x 4) 4 -1/40320 1/24)
5.0ms	x	@	inf	((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (cos x) (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (- (* x x) (* (* (cos x) x) x)) (* (* (cos x) x) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* 1/720 x) 1/720 (- (* (pow x 4) -1/40320) 1/24) (* (pow x 4) -1/40320) (pow x 4) 4 -1/40320 1/24)

Time

Variable

Point

Expression

27.0ms

-inf

((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (cos x) (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (- (* x x) (* (* (cos x) x) x)) (* (* (cos x) x) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* 1/720 x) 1/720 (- (* (pow x 4) -1/40320) 1/24) (* (pow x 4) -1/40320) (pow x 4) 4 -1/40320 1/24)

5.0ms

((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (cos x) (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (- (* x x) (* (* (cos x) x) x)) (* (* (cos x) x) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* 1/720 x) 1/720 (- (* (pow x 4) -1/40320) 1/24) (* (pow x 4) -1/40320) (pow x 4) 4 -1/40320 1/24)

5.0ms

inf

((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) (/ (/ (- x (* (cos x) x)) (* x x)) x) (/ (- x (* (cos x) x)) (* x x)) (- x (* (cos x) x)) (* (cos x) x) (cos x) (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (- (* x x) (* (* (cos x) x) x)) (* (* (cos x) x) x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* 1/720 x) 1/720 (- (* (pow x 4) -1/40320) 1/24) (* (pow x 4) -1/40320) (pow x 4) 4 -1/40320 1/24)

rewrite220.0ms (5.4%)

Memory

22.7MiB live, 162.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	2877
0	382	2748
1	1355	2653
0	8811	2521

Stop Event

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

Counts

163 → 623

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
(.f64 (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (sin.f64 x) x) x))
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))) (neg.f64 x))
(/.f64 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) (.f64 (neg.f64 x) (cos.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) (.f64 x (cos.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (neg.f64 x))) (.f64 (cos.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))
(/.f64 (.f64 (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)) (.f64 (cos.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (.f64 (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (.f64 (cos.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) (.f64 (.f64 (neg.f64 x) x) (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) (.f64 (.f64 x x) (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sin.f64 x)
x
(/.f64 (neg.f64 (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)) (PI.f64))) (cos.f64 (+.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)) (PI.f64))))
(/.f64 (sin.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (cos.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64)))
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.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 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.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))))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 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 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x 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 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 x (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 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 x #s(literal -4 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 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 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 (neg.f64 (cos.f64 x)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 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 x x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 x x (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 (/.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) x) x)
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (*.f64 x x))
(/.f64 (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3 binary64)))
(/.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 #s(literal -1 binary64) (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x) (neg.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (.f64 (/.f64 x x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) 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 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (cos.f64 x) (fabs.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (cos.f64 x) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (.f64 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 (/.f64 (/.f64 x (.f64 x x)) x) (/.f64 (.f64 (/.f64 x x) (/.f64 (cos.f64 x) x)) x))
(-.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (cos.f64 x) x)) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (neg.f64 (.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x))) (.f64 (.f64 (/.f64 x x) (/.f64 (cos.f64 x) x)) (.f64 (/.f64 x x) (/.f64 (cos.f64 x) x)))) (+.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 x x) (/.f64 (cos.f64 x) x))))
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(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64)))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64)))
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(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x))))) (/.f64 #s(literal 1/13824 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x))))))
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(-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64)) (.f64 (neg.f64 x) (.f64 #s(literal 1/720 binary64) x)))
(-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64)) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64))
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(+.f64 (.f64 (.f64 #s(literal 1/720 binary64) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal -1/24 binary64))
(.f64 (.f64 #s(literal 1/720 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x #s(literal 1/720 binary64))
(neg.f64 (*.f64 x #s(literal -1/720 binary64)))
(neg.f64 (*.f64 #s(literal -1/720 binary64) x))
#s(literal 1/720 binary64)
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(fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/24 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/40320 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal -1/24 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/40320 binary64)) x) x #s(literal -1/24 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/40320 binary64)) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/1625702400 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal 1/24 binary64))))
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(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal -1/24 binary64))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/40320 binary64)) x) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64))
(.f64 (.f64 (.f64 x x) #s(literal -1/40320 binary64)) (.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)))
(.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 (.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))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(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 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(literal -1/40320 binary64)
#s(literal 1/24 binary64)
#s(approx (* (/ (/ (sin x) x) x) (tan (/ x 2))) #s(literal 1/2 binary64))
#s(approx (* (/ (/ (sin x) x) x) (tan (/ x 2))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (sin x) x) x) (tan (/ x 2))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (sin x) x) x) (tan (/ x 2))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)))
#s(approx (/ (/ (sin x) x) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (/ (sin x) x) x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (/ (sin x) x) x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
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#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)))
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#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))
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#s(approx x x)
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#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))
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#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
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#s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
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(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
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#s(approx (* x x) (*.f64 x x))
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#s(approx (/ (- x (* (cos x) x)) (* x x)) (*.f64 #s(literal 1/2 binary64) x))
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#s(approx (- x (* (cos x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (- x (* (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))))
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#s(approx (- x (* (cos x) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64))))
#s(approx (* (cos x) x) x)
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#s(approx (* (cos x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x))
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#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#s(approx (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- (* x x) (* (* (cos x) x) x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* (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 (- (* x x) (* (* (cos x) x) x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- (* x x) (* (* (cos x) x) x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64))))
#s(approx (* (* (cos x) x) x) (*.f64 x x))
#s(approx (* (* (cos x) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x) x))
#s(approx (* (* (cos x) x) x) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))
#s(approx (* (* (cos x) x) 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) (* (* (cos x) x) x)) (* x x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- x (* (cos x) x)) (* x x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x (* (cos x) x)) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- x (* (cos x) x)) (* x x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- x (* (cos x) x)) (* x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.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 (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#s(approx (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 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) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) #s(literal -1/24 binary64))
#s(approx (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))))
#s(approx (* 1/720 x) (*.f64 #s(literal 1/720 binary64) x))
#s(approx (- (* (pow x 4) -1/40320) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* (pow x 4) -1/40320) 1/24) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64)))
#s(approx (* (pow x 4) -1/40320) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (/ (/ (sin x) x) x) (tan (/ x 2))) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x)))
#s(approx (/ (/ (sin x) x) x) (/.f64 (/.f64 (sin.f64 x) x) x))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x 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))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (- x (* (cos x) x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- x (* (cos x) x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (* (cos x) x) (*.f64 (cos.f64 x) x))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- (* x x) (* (* (cos x) x) x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* (cos x) x) x) (.f64 (.f64 (cos.f64 x) x) x))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (- x (* (cos x) x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (* x x)) (.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64)))))
#s(approx (+ (* (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (* x x)) 1/2) (.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* 1/720 x) x) (- (* (pow x 4) -1/40320) 1/24)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (pow x 4) -1/40320) 1/24) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (- (* (pow x 4) -1/40320) 1/24) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64) #s(literal 1/40320 binary64))))
#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (- x (* (cos x) x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- x (* (cos x) x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval89.0ms (2.2%)

Memory: 6.7MiB live, 148.2MiB allocated; 22ms collecting garbage
Compiler: Compiled 20 011 to 2 954 computations (85.2% saved)

prune32.0ms (0.8%)

Memory

-18.7MiB live, 75.2MiB allocated; 5ms collecting garbage

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	787	9	796
Fresh	3	10	13
Picked	3	2	5
Done	0	5	5
Total	793	26	819

Accuracy

100.0%

Counts

819 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
	27.1%	(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
	51.7%	(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) x) x)
	27.1%	(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) x) x)
	76.7%	(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) x) x)
	27.1%	(/.f64 (/.f64 (/.f64 (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x) x) (*.f64 x x))
✓	50.6%	(/.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)
✓	27.0%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
	16.5%	(/.f64 (/.f64 (.f64 (.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x) (.f64 x x)) (.f64 x x))
	27.0%	(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 x x)) (.f64 x x))
	28.2%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) x) x)
	28.5%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) x) x)
✓	50.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	25.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	99.8%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) x)
	14.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	51.6%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)
	75.9%	(/.f64 (.f64 (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
	26.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
	51.6%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
	76.5%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
	51.7%	#s(approx (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
	51.4%	#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)))
✓	51.0%	#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)))
✓	52.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 370 to 491 computations (64.2% saved)

regimes27.0ms (0.7%)

Memory

-8.2MiB live, 43.1MiB allocated; 4ms 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 (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.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 (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 (/.f64 (.f64 (.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) x) x)
(/.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 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (.f64 x (-.f64 x (.f64 x (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 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) x) x)
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) (cos.f64 x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.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 #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 (cos.f64 x) x) x)) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) x) x) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) x) x)
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (neg.f64 x)) (neg.f64 x)) (*.f64 x x))
(/.f64 (/.f64 #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))) x) x)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) #s(literal -1/24 binary64))) x) x) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) x) x)
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (.f64 (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) x)
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.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 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 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 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x x) (.f64 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)))))

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

Calls

2 calls:

12.0ms	x
12.0ms	(/.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 (0.5%)

Memory

32.8MiB live, 32.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) 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
99.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes19.0ms (0.5%)

Memory

-8.7MiB live, 37.9MiB allocated; 1ms collecting garbage

Counts

36 → 2

Calls

Call 1

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

Calls

2 calls:

10.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.8%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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 (/ (/ (- (* x x) (* (* (cos x) x) x)) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.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 (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 (/.f64 (.f64 (.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) x) x)
(/.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
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes10.0ms (0.2%)

Memory

-24.8MiB live, 18.3MiB allocated; 4ms collecting garbage

Counts

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

Calls

2 calls:

6.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
75.7%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.6%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB 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
75.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -0.8b remaining (-2.7%)

Threshold costs -0.8b (-2.7%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (/ (- (* 1 (* 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
52.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
52.1%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch27.0ms (0.7%)

Memory

2.6MiB live, 40.5MiB allocated; 15ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.07318529480944859	485404.9571737195

Samples

7.0ms

144×

valid

Compiler

Compiled 416 to 244 computations (41.3% saved)

Precisions

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

ival-cos: 2.0ms (51.1% of total)

ival-mult!: 1.0ms (25.5% of total)

ival-div!: 1.0ms (25.5% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.07318529480944859	485404.9571737195

Compiler

Compiled 416 to 244 computations (41.3% saved)

bsearch13.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.07318529480944859	485404.9571737195

Samples

7.0ms

112×

valid

Compiler

Compiled 434 to 253 computations (41.7% saved)

Precisions

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

ival-cos: 4.0ms (80.5% of total)

ival-mult!: 1.0ms (20.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch75.0ms (1.8%)

Memory

-39.0MiB live, 14.3MiB allocated; 75ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
74.0ms	1.7133240766941114e+38	3.651548271827382e+39

Samples

70.0ms

112×

valid

Compiler

Compiled 305 to 192 computations (37% saved)

Precisions

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

ival-cos: 5.0ms (84.9% of total)

ival-mult!: 1.0ms (17% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch14.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.546800196959151e+75	8.238531647745859e+78

Samples

8.0ms

128×

valid

Compiler

Compiled 171 to 146 computations (14.6% saved)

Precisions

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

ival-cos: 4.0ms (68.3% of total)

ival-mult!: 1.0ms (17.1% of total)

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

adjust: 0.0ms (0% of total)

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

simplify45.0ms (1.1%)

Memory

-12.9MiB live, 38.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	251
1	102	235
2	387	211
3	2347	211

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) x)
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal 7349874591868649/72057594037927936 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 7349874591868649/72057594037927936 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 5291729562160333/1125899906842624 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) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
(if (<=.f64 x #s(literal 620000000000000035155232327271721205760 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 99999999999999998278261272554585856747747644714015897553975120217811154108416 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 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) x)
(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal 7349874591868649/72057594037927936 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 7349874591868649/72057594037927936 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 5291729562160333/1125899906842624 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) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
(if (<=.f64 x #s(literal 620000000000000035155232327271721205760 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 99999999999999998278261272554585856747747644714015897553975120217811154108416 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 99999999999999998278261272554585856747747644714015897553975120217811154108416 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))

derivations204.0ms (5%)

Memory

-7.3MiB live, 130.3MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 283 to 56 computations (80.2% saved)

preprocess44.0ms (1.1%)

Memory: 11.5MiB live, 57.6MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 148 to 428 computations (62.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample2.0s (48.6%)

explain156.0ms (3.8%)

preprocess200.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

rewrite114.0ms (2.8%)

eval6.0ms (0.2%)

prune9.0ms (0.2%)

series14.0ms (0.3%)

rewrite201.0ms (4.9%)

eval84.0ms (2%)

prune26.0ms (0.6%)

series14.0ms (0.3%)

rewrite221.0ms (5.4%)

eval93.0ms (2.3%)

prune69.0ms (1.7%)

series39.0ms (1%)

rewrite220.0ms (5.4%)

eval89.0ms (2.2%)

prune32.0ms (0.8%)

regimes27.0ms (0.7%)

regimes19.0ms (0.5%)

regimes19.0ms (0.5%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.7%)

bsearch1.0ms (0%)

bsearch13.0ms (0.3%)

bsearch75.0ms (1.8%)

bsearch14.0ms (0.3%)

simplify45.0ms (1.1%)

derivations204.0ms (5%)

preprocess44.0ms (1.1%)

end0.0ms (0%)

Profiling