Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.7s (41.4%)

Memory

30.7MiB live, 1 205.4MiB allocated; 295ms collecting garbage

Samples

678.0ms	2 300×	2	valid
317.0ms	4 059×	0	valid
263.0ms	646×	3	valid
127.0ms	1 251×	1	valid

Precisions

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

ival-cos: 786.0ms (66.7% of total)

adjust: 148.0ms (12.6% of total)

ival-div: 90.0ms (7.6% of total)

ival-sub: 86.0ms (7.3% of total)

ival-mult: 55.0ms (4.7% of total)

ival-true: 5.0ms (0.4% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain145.0ms (3.6%)

Memory

-1.2MiB live, 140.4MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
76	1	(-4.065616646049431e+161)	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
72	2	(2.311036492303831e+22)	2	(5.608721863450715e+282)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	72	5
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	72	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	72
↳	`(*.f64 x x)`	underflow	72
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	5	0
↳	`(*.f64 x x)`	overflow	61

Confusion

	Predicted +	Predicted -
+	144	1
-	5	106

Precision

0.9664429530201343

Recall

0.993103448275862

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	144	1	0
-	5	3	103

Precision?

0.9477124183006536

Recall?

1.0

Freqs

test

number	freq
0	107
1	149

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	168×	2	valid
19.0ms	238×	0	valid
17.0ms	38×	3	valid
7.0ms	68×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-cos: 47.0ms (65.7% of total)

adjust: 9.0ms (12.6% of total)

ival-div: 6.0ms (8.4% of total)

ival-sub: 5.0ms (7% of total)

ival-mult: 4.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess237.0ms (5.9%)

Memory

-42.9MiB live, 162.3MiB allocated; 138ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	35	17
2	103	17
3	180	17
4	398	16
5	1952	16
0	6	8
0	10	8
1	27	8
2	65	8
3	129	8
4	298	8
5	1569	8
0	8370	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.7%	(/.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

3.0MiB live, 3.0MiB 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))

simplify149.0ms (3.7%)

Memory

14.8MiB live, 152.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	245
1	148	245
2	554	245
3	2350	245
4	5027	245
0	8372	229

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

rewrite59.0ms (1.5%)

Memory

-1.5MiB live, 57.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	45	19
0	348	19

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 46

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
(/.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))
(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 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.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 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 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)))

eval16.0ms (0.4%)

Memory: -33.3MiB live, 11.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 939 to 217 computations (76.9% saved)

prune7.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	56	11	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	12	68

Accuracy

100.0%

Counts

68 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	70.8%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
	46.7%	(/.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))
▶	12.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	46.7%	(/.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)))
✓	46.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	45.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
▶	25.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	70.8%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
	47.4%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	54.2%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	55.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 324 to 202 computations (37.7% saved)

series59.0ms (1.5%)

Memory

19.3MiB live, 65.6MiB allocated; 3ms collecting garbage

Counts

25 → 71

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

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 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (* (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 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	((/ (* (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 (cos x)) (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (exp (* (log x) 2)) (* (log x) 2) (log x) 2)
19.0ms	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 (cos x)) (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (exp (* (log x) 2)) (* (log x) 2) (log x) 2)
10.0ms	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 (cos x)) (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (exp (* (log x) 2)) (* (log x) 2) (log x) 2)

Time

Variable

Point

Expression

29.0ms

((/ (* (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 (cos x)) (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (exp (* (log x) 2)) (* (log x) 2) (log x) 2)

19.0ms

-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 (cos x)) (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (exp (* (log x) 2)) (* (log x) 2) (log x) 2)

10.0ms

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 (cos x)) (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (exp (* (log x) 2)) (* (log x) 2) (log x) 2)

simplify118.0ms (2.9%)

Memory

-6.9MiB live, 87.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1221
1	523	1145
2	2726	1135
0	8231	1057

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 71

Calls

Call 1

Inputs
#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 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (* (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 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

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

rewrite80.0ms (2%)

Memory

-19.4MiB live, 69.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	147
0	48	133
1	189	114
0	1466	114

Stop Event

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

Counts

25 → 639

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

Outputs
(.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 x x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.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 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (.f64 x x)))
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(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 (.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 (.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 x #s(literal -2 binary64)) (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(-.f64 (.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (.f64 (cos.f64 x) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(+.f64 (.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.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 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (-.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)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #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))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 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 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.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 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (-.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (*.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (log.f64 x) (log.f64 x))
(log.f64 (*.f64 x x))
(log.f64 x)
#s(literal 2 binary64)

eval59.0ms (1.5%)

Memory: 30.9MiB live, 74.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 15 452 to 1 853 computations (88% saved)

prune31.0ms (0.8%)

Memory

3.4MiB live, 58.5MiB allocated; 12ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	715	10	725
Fresh	4	2	6
Picked	3	2	5
Done	0	1	1
Total	722	15	737

Accuracy

100.0%

Counts

737 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.7%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
▶	48.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	12.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
	1.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (.f64 x x)))
✓	46.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	25.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	46.6%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
	71.2%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
▶	12.3%	(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (*.f64 x x)))
	12.3%	(/.f64 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 x x) (*.f64 x x)))
	47.4%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	99.7%	(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	71.8%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
▶	54.2%	#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)))
✓	55.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 442 to 261 computations (41% saved)

series73.0ms (1.8%)

Memory

-14.6MiB live, 29.9MiB allocated; 13ms collecting garbage

Counts

30 → 100

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

Calls

3 calls:

Time	Variable		Point	Expression
63.0ms	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) (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (* (cos x) x) (* (* x x) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* (* x x) (neg x)) (neg x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (neg x))
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) (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (* (cos x) x) (* (* x x) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* (* x x) (neg x)) (neg x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (neg x))
3.0ms	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) (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (* (cos x) x) (* (* x x) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* (* x x) (neg x)) (neg x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (neg x))

Time

Variable

Point

Expression

63.0ms

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) (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (* (cos x) x) (* (* x x) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* (* x x) (neg x)) (neg x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (neg x))

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) (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (* (cos x) x) (* (* x x) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* (* x x) (neg x)) (neg x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (neg x))

3.0ms

((* (/ (/ (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) (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) (* x (- x (* (cos x) x))) (- x (* (cos x) x)) (* (cos x) x) (* (* x x) (* x x)) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* (* x x) (neg x)) (neg x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (neg x))

simplify263.0ms (6.5%)

Memory

-4.0MiB live, 198.6MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	1834
1	655	1728
2	2670	1644
0	8341	1537

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 100

Calls

Call 1

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

rewrite86.0ms (2.1%)

Memory

1.6MiB live, 90.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	194
0	63	171
1	220	151
0	1586	151

Stop Event

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

Counts

30 → 701

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

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

eval81.0ms (2%)

Memory: -0.4MiB live, 103.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 15 182 to 1 910 computations (87.4% saved)

prune58.0ms (1.4%)

Memory

3.6MiB live, 50.3MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	699	12	711
Fresh	4	3	7
Picked	2	3	5
Done	0	3	3
Total	705	21	726

Accuracy

100.0%

Counts

726 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.7%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
▶	46.7%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	48.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	23.4%	(/.f64 (/.f64 (.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
▶	27.5%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
	48.0%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
	46.6%	(/.f64 (-.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x))) x)
✓	12.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
▶	1.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
	1.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (.f64 x x)))
✓	46.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	25.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	71.2%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	1.5%	(/.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 x x) (.f64 x x)))
	47.1%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	99.7%	(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
	46.7%	(.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) x)) (/.f64 x (.f64 (neg.f64 x) x)))
	46.7%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (.f64 x x)))
	71.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	54.2%	#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)))
✓	55.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 577 to 330 computations (42.8% saved)

series33.0ms (0.8%)

Memory

-26.0MiB live, 19.0MiB allocated; 5ms collecting garbage

Counts

34 → 115

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

Calls

3 calls:

Time

Variable

Point

Expression

23.0ms

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

3.0ms

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

simplify226.0ms (5.6%)

Memory

11.4MiB live, 150.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	1977
1	708	1919
2	2882	1871
0	8693	1752

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 115

Calls

Call 1

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

rewrite85.0ms (2.1%)

Memory

32.2MiB live, 134.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	268
0	67	258
1	225	234
0	1527	234

Stop Event

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

Counts

34 → 441

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

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

eval49.0ms (1.2%)

Memory: 4.6MiB live, 95.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 15 060 to 1 771 computations (88.2% saved)

prune57.0ms (1.4%)

Memory

-56.3MiB live, 49.6MiB allocated; 22ms collecting garbage

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	606	10	616
Fresh	6	4	10
Picked	1	4	5
Done	1	5	6
Total	614	23	637

Accuracy

100.0%

Counts

637 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.7%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	1.9%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
	46.7%	(/.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 x x)) x)
✓	46.7%	(/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) x)
✓	48.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	23.4%	(/.f64 (/.f64 (.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
	2.2%	(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (*.f64 x x))
✓	27.5%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
	48.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x)
✓	46.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	25.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	1.5%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
	71.2%	(/.f64 (.f64 (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
	1.5%	(/.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 x x) (.f64 x x)))
	47.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) x))
	47.1%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	48.1%	(.f64 (/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) x) (/.f64 #s(literal 1 binary64) x))
✓	99.7%	(.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
	46.7%	(.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
	46.7%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (.f64 x x)))
	71.8%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
✓	54.2%	#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)))
✓	55.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 078 to 377 computations (65% saved)

regimes26.0ms (0.6%)

Memory

6.1MiB live, 50.1MiB allocated; 7ms collecting garbage

Counts

44 → 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))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 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 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x)
(.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) x)) (/.f64 x (.f64 (neg.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 (.f64 (cos.f64 x) x)) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x))) x)
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 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 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 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 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.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 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (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))

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:

11.0ms	x
9.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes18.0ms (0.4%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms collecting garbage

Counts

35 → 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))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 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 #s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 x (-.f64 x (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))) x)
(.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (neg.f64 x) x)) (/.f64 x (.f64 (neg.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 (.f64 (cos.f64 x) x)) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 x x))) x)
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 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 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))

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

Calls

2 calls:

9.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.3%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.6%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes19.0ms (0.5%)

Memory

-30.7MiB live, 12.5MiB allocated; 6ms collecting garbage

Counts

12 → 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))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

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

Calls

2 calls:

15.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
4.0ms	x

Results

Accuracy	Segments	Branch
75.6%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.0%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms 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))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 (.f64 x (-.f64 x (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.8b remaining (-2.8%)

Threshold costs -0.8b (-2.8%)

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
55.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
55.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch17.0ms (0.4%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.492442497600929e-5	36.878286550028086

Samples

7.0ms	128×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 218 to 181 computations (17% saved)

Precisions

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

ival-cos: 2.0ms (36.4% of total)

ival-div: 1.0ms (18.2% of total)

ival-mult: 1.0ms (18.2% of total)

ival-sub: 1.0ms (18.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.492442497600929e-5	36.878286550028086

Compiler

Compiled 218 to 181 computations (17% saved)

bsearch49.0ms (1.2%)

Memory

-34.6MiB live, 11.4MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	3.464912222047458e+73	2.3671588545325264e+77

Samples

42.0ms

128×

valid

Compiler

Compiled 171 to 146 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sub: 32.0ms (82.3% of total)

ival-cos: 5.0ms (12.9% of total)

ival-div: 1.0ms (2.6% of total)

ival-mult: 1.0ms (2.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify35.0ms (0.9%)

Memory

42.3MiB live, 42.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	103
1	57	103
2	102	103
3	186	103
4	452	103
5	2871	103

Stop Event

1×	node limit

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))))
(if (<=.f64 x #s(literal 6110483974416289/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 6110483974416289/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 80000000000000003764810759672437567132476811262933046114229676279185996251136 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) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal 6110483974416289/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 6110483974416289/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 80000000000000003764810759672437567132476811262933046114229676279185996251136 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))

derivations188.0ms (4.6%)

Memory

-25.1MiB live, 165.6MiB allocated; 23ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 103 to 37 computations (64.1% saved)

preprocess32.0ms (0.8%)

Memory: -9.5MiB live, 86.7MiB allocated; 19ms collecting garbage
Remove: (abs x)
Compiler: Compiled 252 to 108 computations (57.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.7s (41.4%)

explain145.0ms (3.6%)

preprocess237.0ms (5.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

simplify149.0ms (3.7%)

rewrite59.0ms (1.5%)

eval16.0ms (0.4%)

prune7.0ms (0.2%)

series59.0ms (1.5%)

simplify118.0ms (2.9%)

rewrite80.0ms (2%)

eval59.0ms (1.5%)

prune31.0ms (0.8%)

series73.0ms (1.8%)

simplify263.0ms (6.5%)

rewrite86.0ms (2.1%)

eval81.0ms (2%)

prune58.0ms (1.4%)

series33.0ms (0.8%)

simplify226.0ms (5.6%)

rewrite85.0ms (2.1%)

eval49.0ms (1.2%)

prune57.0ms (1.4%)

regimes26.0ms (0.6%)

regimes18.0ms (0.4%)

regimes19.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch17.0ms (0.4%)

bsearch1.0ms (0%)

bsearch49.0ms (1.2%)

simplify35.0ms (0.9%)

derivations188.0ms (4.6%)

preprocess32.0ms (0.8%)

end0.0ms (0%)

Profiling