Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (48.2%)

Memory

78.0MiB live, 1 852.8MiB allocated; 293ms collecting garbage

Samples

688.0ms	2 268×	2	valid
389.0ms	4 195×	0	valid
329.0ms	620×	3	valid
133.0ms	1 173×	1	valid

Precisions

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

ival-cos: 778.0ms (60.7% of total)

adjust: 165.0ms (12.9% of total)

ival-sub: 129.0ms (10.1% of total)

ival-div: 115.0ms (9% of total)

ival-mult: 85.0ms (6.6% of total)

exact: 7.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain171.0ms (4.5%)

Memory

-25.6MiB live, 173.4MiB allocated; 70ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
74	-	2	(-1.0147845397442878e+36)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
62	-	1	(-1.593861058347059e-159)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	72	6
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	58	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	58
↳	`(*.f64 x x)`	underflow	58
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	73

Confusion

	Predicted +	Predicted -
+	133	1
-	0	122

Precision

1.0

Recall

0.9925373134328358

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	1	0
-	0	5	117

Precision?

0.9640287769784173

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms	152×	2	valid
22.0ms	258×	0	valid
11.0ms	30×	3	valid
8.0ms	72×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-div: 45.0ms (41.1% of total)

ival-cos: 45.0ms (41.1% of total)

adjust: 8.0ms (7.3% of total)

ival-mult: 5.0ms (4.6% of total)

ival-sub: 5.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess162.0ms (4.3%)

Memory

10.6MiB live, 152.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(/.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

5.4MiB live, 5.4MiB 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))

rewrite113.0ms (3%)

Memory

-23.3MiB live, 120.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	312	264
0	2707	252

Stop Event

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

Counts

23 → 67

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 991 to 230 computations (76.8% saved)

prune10.0ms (0.3%)

Memory

-25.1MiB live, 19.5MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	60	11	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	12	72

Accuracy

100.0%

Counts

72 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	76.5%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
▶	10.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	50.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	30.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	76.8%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
	51.1%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	51.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
	51.4%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
	51.0%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 342 to 222 computations (35.1% saved)

series15.0ms (0.4%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Counts

28 → 86

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)))
5.0ms	x	@	inf	((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)))
3.0ms	x	@	0	((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)))

Time

Variable

Point

Expression

5.0ms

-inf

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

5.0ms

inf

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

3.0ms

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

rewrite208.0ms (5.5%)

Memory

32.3MiB live, 206.3MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1908
0	299	1798
1	1191	1698
0	8538	1653

Stop Event

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

Counts

114 → 679

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

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 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (fabs.f64 (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (fabs.f64 (sin.f64 x)) x))
(.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (fabs.f64 (sin.f64 x)) (.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (cos.f64 x) x) x))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))))
(neg.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fabs.f64 x) x) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 x) x) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (.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 #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 #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 (.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 (.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 (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 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 (.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 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
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(+.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (fabs.f64 x) (.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 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (cos.f64 x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (cos.f64 x) x) 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 x x) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) x) x))
(.f64 x (.f64 x (cos.f64 x)))
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 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 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.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 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) (sin x)) (*.f64 x x))
#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)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (* (sin x) (sin x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 2/45 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x))
#s(approx x x)
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 x x) #s(literal 2 binary64)))
#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)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x) x))
#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(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 #s(literal 1/720 binary64) x))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
#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)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (sin x) (sin x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (.f64 (.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) x) x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 (cos.f64 x) x) x))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (.f64 (neg.f64 (-.f64 #s(literal 1/40320 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)))) (pow.f64 x #s(literal 3 binary64))))

eval164.0ms (4.4%)

Memory: -43.8MiB live, 108.8MiB allocated; 127ms collecting garbage
Compiler: Compiled 20 568 to 2 692 computations (86.9% saved)

prune25.0ms (0.7%)

Memory

5.9MiB live, 53.0MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	836	13	849
Fresh	4	2	6
Picked	2	3	5
Done	0	1	1
Total	842	19	861

Accuracy

100.0%

Counts

861 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.5%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	76.8%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
▶	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	22.4%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	30.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	50.6%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
	10.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	76.5%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))
	10.1%	(/.f64 (.f64 x (-.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
▶	51.1%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	50.5%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
	30.4%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
▶	77.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	77.0%	(.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
	51.4%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
▶	51.0%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	51.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 524 to 322 computations (38.5% saved)

series17.0ms (0.5%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

28 → 86

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) x (* 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) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) (+ (* x x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* x x) (* x x)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))
5.0ms	x	@	inf	((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) x (* 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) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) (+ (* x x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* x x) (* x x)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))
3.0ms	x	@	0	((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) x (* 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) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) (+ (* x x) (* (* (neg x) x) (cos x))) (* (* (neg x) x) (cos x)) (* (neg x) x) (neg x) (* (* x x) (* x x)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))

Time

Variable

Point

Expression

8.0ms

-inf

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

5.0ms

inf

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

3.0ms

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

rewrite178.0ms (4.8%)

Memory

-21.1MiB live, 162.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1740
0	293	1657
1	1114	1518
0	8629	1458

Stop Event

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

Counts

114 → 1 093

Calls

Call 1

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

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

eval66.0ms (1.8%)

Memory: 44.9MiB live, 89.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 14 736 to 1 984 computations (86.5% saved)

prune30.0ms (0.8%)

Memory

-3.8MiB live, 47.8MiB allocated; 13ms collecting garbage

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	744	10	754
Fresh	6	4	10
Picked	2	3	5
Done	0	4	4
Total	752	21	773

Accuracy

100.0%

Counts

773 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.3%	(fma.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
	50.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
✓	10.5%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	1.7%	(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (.f64 (.f64 x x) (.f64 x x)))
	2.1%	(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (.f64 (neg.f64 x) x))) (.f64 (.f64 x x) (.f64 x x)))
	50.6%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
✓	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	22.4%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	30.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	10.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	76.7%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	76.5%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))
▶	30.4%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
▶	50.8%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	77.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
▶	77.1%	(.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
▶	51.4%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	51.0%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	51.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 571 to 347 computations (39.2% saved)

series13.0ms (0.3%)

Memory

-32.7MiB live, 14.2MiB allocated; 3ms collecting garbage

Counts

34 → 95

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((* (/ (sin x) 1) (/ (tan (/ x 2)) (* x x))) (/ (sin x) 1) (sin x) x 1 (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) 2 (* x x) (/ (/ (- 1 (cos x)) x) x) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 1/2 (- (pow x -2) (/ (cos x) (* x x))) (pow x -2) -2 (/ (cos x) (* x x)) (cos x) (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) (+ (* (/ (* x x) (* (neg x) x)) (/ 1 (* (neg x) x))) (/ (neg (cos x)) (* x x))) (/ (* x x) (* (neg x) x)) (* (neg x) x) (neg x) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)))
3.0ms	x	@	-inf	((* (/ (sin x) 1) (/ (tan (/ x 2)) (* x x))) (/ (sin x) 1) (sin x) x 1 (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) 2 (* x x) (/ (/ (- 1 (cos x)) x) x) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 1/2 (- (pow x -2) (/ (cos x) (* x x))) (pow x -2) -2 (/ (cos x) (* x x)) (cos x) (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) (+ (* (/ (* x x) (* (neg x) x)) (/ 1 (* (neg x) x))) (/ (neg (cos x)) (* x x))) (/ (* x x) (* (neg x) x)) (* (neg x) x) (neg x) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)))
3.0ms	x	@	inf	((* (/ (sin x) 1) (/ (tan (/ x 2)) (* x x))) (/ (sin x) 1) (sin x) x 1 (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) 2 (* x x) (/ (/ (- 1 (cos x)) x) x) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 1/2 (- (pow x -2) (/ (cos x) (* x x))) (pow x -2) -2 (/ (cos x) (* x x)) (cos x) (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) (+ (* (/ (* x x) (* (neg x) x)) (/ 1 (* (neg x) x))) (/ (neg (cos x)) (* x x))) (/ (* x x) (* (neg x) x)) (* (neg x) x) (neg x) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)))

Time

Variable

Point

Expression

4.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

rewrite161.0ms (4.3%)

Memory

1.5MiB live, 142.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	1897
0	321	1711
1	1188	1679
0	8740	1592

Stop Event

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

Counts

129 → 640

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) #s(literal 1 binary64)) (sin.f64 x))
(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
(.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(/.f64 (.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (sin.f64 x))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) x)
(/.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(/.f64 (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x)) #s(literal 1 binary64))
(neg.f64 (/.f64 (.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
x
#s(literal 1 binary64)
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x)
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.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 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.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 (/.f64 x #s(literal 2 binary64)) (PI.f64))) (cos.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))))
(/.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 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)))
(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 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)
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.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 (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) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) 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 (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x))
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(sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (PI.f64))) (.f64 (sin.f64 x) (sin.f64 (PI.f64))))
(cos.f64 (neg.f64 (+.f64 x (PI.f64))))
(cos.f64 (fma.f64 #s(literal -1 binary64) x (PI.f64)))
(cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 x (PI.f64)))
#s(approx (* (/ (sin x) 1) (/ (tan (/ x 2)) (* x x))) #s(literal 1/2 binary64))
#s(approx (* (/ (sin x) 1) (/ (tan (/ x 2)) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) 1) (/ (tan (/ x 2)) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) 1) (/ (tan (/ x 2)) (* 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) 1) x)
#s(approx (/ (sin x) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (/ (sin x) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (/ (sin x) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (sin x) 1) x)
#s(approx (/ (sin x) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (/ (sin x) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (/ (sin x) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x))
#s(approx x x)
#s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (tan (/ x 2)) (* x x)) (/.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)) (* x x)) (/.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 (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* 1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (* 1/720 (* x x)) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (/ (cos x) x) x) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (/ (cos x) x) x) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (cos x) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 x) (* (neg x) x)) #s(literal -1 binary64))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ 1 (* (neg x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (/ (neg (cos x)) (* x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) (.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x)))
#s(approx (neg (cos x)) #s(literal -1 binary64))
#s(approx (neg (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (neg (cos x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (* (/ (sin x) 1) (/ (tan (/ x 2)) (* x x))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (sin x) 1) (sin.f64 x))
#s(approx (/ (sin x) 1) (sin.f64 x))
#s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 x x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
#s(approx (- (* 1/720 (* x x)) 1/24) (.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) x) x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (/ (cos x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (/ (cos x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
#s(approx (neg (cos x)) (neg.f64 (cos.f64 x)))

eval74.0ms (2%)

Memory: 2.9MiB live, 91.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 15 398 to 2 004 computations (87% saved)

prune25.0ms (0.7%)

Memory

4.7MiB live, 51.7MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	733	8	741
Fresh	2	7	9
Picked	5	0	5
Done	1	6	7
Total	741	21	762

Accuracy

100.0%

Counts

762 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
✓	10.5%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	1.7%	(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (.f64 (.f64 x x) (.f64 x x)))
	2.1%	(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (.f64 (neg.f64 x) x))) (.f64 (.f64 x x) (.f64 x x)))
	50.6%	(/.f64 (/.f64 (-.f64 x (.f64 x (cos.f64 x))) (.f64 x x)) x)
✓	51.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	22.4%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
✓	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	30.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	10.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	76.5%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))
	30.3%	(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
	2.2%	(-.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 x (.f64 (neg.f64 x) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
	50.6%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	30.4%	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)))
	77.1%	(.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)) (sin.f64 x))
	77.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
	51.4%	#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	51.0%	#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	51.1%	#s(approx (- (/ 1 (* x x)) (/ (/ (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)))

Compiler

Compiled 1 052 to 375 computations (64.4% saved)

regimes22.0ms (0.6%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes27.0ms (0.7%)

Memory

-40.0MiB live, 11.1MiB allocated; 31ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

22.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
54.2%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
80.1%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms 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))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (.f64 (neg.f64 x) x))) (.f64 (.f64 x x) (.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
80.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 x)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (.f64 (neg.f64 x) x))) (.f64 (.f64 x x) (.f64 x x)))

Outputs

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

(/.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
79.9%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.7b remaining (-2.3%)

Threshold costs -0.7b (-2.3%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch17.0ms (0.4%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0082288898259458	224649530793.92426

Samples

8.0ms

160×

valid

Compiler

Compiled 381 to 260 computations (31.8% saved)

Precisions

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

ival-cos: 2.0ms (37.1% of total)

ival-sub: 1.0ms (18.5% of total)

ival-div: 1.0ms (18.5% of total)

ival-mult: 1.0ms (18.5% 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)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0082288898259458	224649530793.92426

Compiler

Compiled 381 to 260 computations (31.8% saved)

bsearch21.0ms (0.6%)

Memory

-30.3MiB live, 18.1MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.3259195777250853e+31	1.0147845397442878e+36

Samples

14.0ms

144×

valid

Compiler

Compiled 335 to 235 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 5.0ms (45.4% of total)

ival-div: 4.0ms (36.4% of total)

ival-sub: 1.0ms (9.1% of total)

ival-mult: 1.0ms (9.1% 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)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3259195777250853e+31	1.0147845397442878e+36

Compiler

Compiled 326 to 244 computations (25.2% saved)

bsearch16.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0147845397442878e+36	7.121306359745838e+39

Samples

9.0ms

128×

valid

Compiler

Compiled 251 to 186 computations (25.9% saved)

Precisions

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

ival-cos: 4.0ms (60.5% of total)

ival-sub: 1.0ms (15.1% of total)

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

ival-mult: 1.0ms (15.1% 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)

bsearch14.0ms (0.4%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0082288898259458	224649530793.92426

Samples

8.0ms

112×

valid

Compiler

Compiled 261 to 210 computations (19.5% saved)

Precisions

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

ival-cos: 4.0ms (71.1% of total)

ival-sub: 1.0ms (17.8% of total)

ival-div: 1.0ms (17.8% of total)

ival-mult: 1.0ms (17.8% 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)

simplify33.0ms (0.9%)

Memory

-18.1MiB live, 27.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	226
1	87	226
2	140	226
3	230	226
4	393	226
5	1184	226

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (/ 1 (* x x)) (/ (/ (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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (/ 1 (* x x)) (/ (/ (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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 2450000000000000068420579224453120 binary64)) #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x))))
(if (<=.f64 x #s(literal 2450000000000000068420579224453120 binary64)) #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))
(if (<=.f64 x #s(literal 659999999999999981364251648514108424192 binary64)) #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (/ 1 (* x x)) (/ (/ (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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (/ 1 (* x x)) (/ (/ (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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x x)))
(if (<=.f64 x #s(literal 2450000000000000068420579224453120 binary64)) #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x))))
(if (<=.f64 x #s(literal 2450000000000000068420579224453120 binary64)) #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))
(if (<=.f64 x #s(literal 2450000000000000068420579224453120 binary64)) #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))))
(if (<=.f64 x #s(literal 659999999999999981364251648514108424192 binary64)) #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))

derivations290.0ms (7.7%)

Memory

-8.3MiB live, 174.8MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 226 to 52 computations (77% saved)

preprocess38.0ms (1%)

Memory: -1.8MiB live, 43.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 616 to 208 computations (66.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (48.2%)

explain171.0ms (4.5%)

preprocess162.0ms (4.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

rewrite113.0ms (3%)

eval6.0ms (0.2%)

prune10.0ms (0.3%)

series15.0ms (0.4%)

rewrite208.0ms (5.5%)

eval164.0ms (4.4%)

prune25.0ms (0.7%)

series17.0ms (0.5%)

rewrite178.0ms (4.8%)

eval66.0ms (1.8%)

prune30.0ms (0.8%)

series13.0ms (0.3%)

rewrite161.0ms (4.3%)

eval74.0ms (2%)

prune25.0ms (0.7%)

regimes22.0ms (0.6%)

regimes6.0ms (0.2%)

regimes27.0ms (0.7%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch17.0ms (0.4%)

bsearch2.0ms (0%)

bsearch21.0ms (0.6%)

bsearch1.0ms (0%)

bsearch16.0ms (0.4%)

bsearch14.0ms (0.4%)

simplify33.0ms (0.9%)

derivations290.0ms (7.7%)

preprocess38.0ms (1%)

end0.0ms (0%)

Profiling