Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 (36.8%)

Memory

64.4MiB live, 1 539.3MiB allocated; 373ms collecting garbage

Samples

649.0ms	2 223×	2	valid
361.0ms	4 188×	0	valid
338.0ms	602×	3	valid
128.0ms	1 243×	1	valid

Precisions

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

ival-cos: 816.0ms (66.3% of total)

adjust: 165.0ms (13.4% of total)

ival-div: 93.0ms (7.6% of total)

ival-sub: 86.0ms (7% of total)

ival-mult: 61.0ms (5% of total)

exact: 7.0ms (0.6% of total)

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

Bogosity

explain171.0ms (3.6%)

Memory

7.6MiB live, 152.3MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
66	0	-	4	(-1.8009496909953303e+68)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
63	1	(3.211706865219242e+160)	3	(7.573027040195012e-157)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	62	8
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	57	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	57
↳	`(*.f64 x x)`	underflow	57
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	4	0
↳	`(*.f64 x x)`	overflow	67

Confusion

	Predicted +	Predicted -
+	119	2
-	4	131

Precision

0.967479674796748

Recall

0.9834710743801653

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	2	0
-	4	5	126

Precision?

0.9307692307692308

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	120×	2	valid
23.0ms	286×	0	valid
14.0ms	28×	3	valid
9.0ms	78×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-cos: 42.0ms (50.8% of total)

adjust: 24.0ms (29% of total)

ival-div: 7.0ms (8.5% of total)

ival-sub: 5.0ms (6% of total)

ival-mult: 4.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess803.0ms (16.8%)

Memory

-42.5MiB live, 251.1MiB allocated; 1.0s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 8 to 6 computations (25% saved)

series4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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))

rewrite131.0ms (2.7%)

Memory

-25.2MiB live, 116.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

23 → 67

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 991 to 230 computations (76.8% saved)

prune8.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms 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

99.9%

Counts

72 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	76.3%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 x x))
▶	15.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	56.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
✓	56.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	28.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	76.9%	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
	57.5%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	45.1%	#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)))
	45.6%	#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)))
	45.0%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	46.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 342 to 222 computations (35.1% saved)

series18.0ms (0.4%)

Memory

-14.5MiB live, 30.6MiB allocated; 6ms 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)))

rewrite263.0ms (5.5%)

Memory

1.8MiB live, 236.0MiB allocated; 49ms 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))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (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)))
(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)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.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))))

eval96.0ms (2%)

Memory: -12.2MiB live, 174.9MiB allocated; 41ms collecting garbage
Compiler: Compiled 20 568 to 2 692 computations (86.9% saved)

prune32.0ms (0.7%)

Memory

21.9MiB live, 81.6MiB allocated; 11ms collecting garbage

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	834	15	849
Fresh	3	3	6
Picked	2	3	5
Done	0	1	1
Total	839	22	861

Accuracy

100.0%

Counts

861 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	76.9%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
	57.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	30.7%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
	14.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 x x)))
	15.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
	56.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
✓	56.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	28.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	56.5%	(/.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)))
	15.0%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
	15.0%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 x x) (*.f64 x x)))
▶	14.9%	(/.f64 (.f64 x (-.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
▶	57.5%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	57.2%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
	28.3%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
▶	99.4%	(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
	77.3%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	45.6%	#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)))
▶	45.0%	#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)))
✓	45.1%	#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)))
✓	46.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 638 to 386 computations (39.5% saved)

series25.0ms (0.5%)

Memory

0.1MiB live, 45.0MiB allocated; 9ms collecting garbage

Counts

30 → 111

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) (* x (- x (* x (cos x)))) (- x (* x (cos x))) (* x (cos x)) (* (* x x) (* x x)) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) 1 (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))
10.0ms	x	@	-inf	((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) (* x (- x (* x (cos x)))) (- x (* x (cos x))) (* x (cos x)) (* (* x x) (* x x)) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) 1 (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))
3.0ms	x	@	0	((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) (* x (- x (* x (cos x)))) (- x (* x (cos x))) (* x (cos x)) (* (* x x) (* x x)) (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) 1 (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))

Time

Variable

Point

Expression

10.0ms

inf

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

10.0ms

-inf

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

3.0ms

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

rewrite223.0ms (4.7%)

Memory

-29.8MiB live, 210.1MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	2305
0	332	2223
1	1172	2055
0	8487	1951

Stop Event

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

Counts

141 → 1 052

Calls

Call 1

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

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

eval93.0ms (2%)

Memory: 15.6MiB live, 113.4MiB allocated; 18ms collecting garbage
Compiler: Compiled 18 137 to 2 353 computations (87% saved)

prune37.0ms (0.8%)

Memory

-12.9MiB live, 80.1MiB allocated; 7ms collecting garbage

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	877	17	894
Fresh	6	7	13
Picked	3	2	5
Done	0	4	4
Total	886	30	916

Accuracy

100.0%

Counts

916 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
	57.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
	56.6%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
▶	15.1%	(/.f64 (fma.f64 (.f64 (neg.f64 x) (cos.f64 x)) x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	15.2%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	76.6%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
	57.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	30.7%	(/.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x)) (.f64 (neg.f64 x) x)) (.f64 x x))
	13.9%	(/.f64 (/.f64 (.f64 (.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x) (.f64 x x)) (.f64 x x))
	14.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 x x)))
✓	56.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	28.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	56.5%	(/.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)))
	56.5%	(/.f64 (.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) #s(literal 1 binary64)) (*.f64 x x))
▶	99.5%	(/.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (sin.f64 x)) x)
	56.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x (/.f64 x (.f64 x x)))) (.f64 x x))
▶	15.0%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 x x) (*.f64 x x)))
✓	14.9%	(/.f64 (.f64 x (-.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
	2.1%	(/.f64 (.f64 x (-.f64 x (.f64 x #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))
	56.5%	(/.f64 (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (.f64 x x)))) (.f64 x x))
	28.3%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
	57.0%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	57.4%	(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	56.4%	(.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) (/.f64 x (.f64 x x)))
	77.3%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	47.1%	(.f64 #s(approx (/ (sin x) ( (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
▶	45.6%	#s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
✓	45.0%	#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)))
✓	45.1%	#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)))
✓	46.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 851 to 506 computations (40.5% saved)

series16.0ms (0.3%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

31 → 106

Calls

Call 1

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

Outputs
#s(approx (/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) #s(hole binary64 1/2))
#s(approx (/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (sin x) (+ (* (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (/ (sin x) (+ (* (cos x) x) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin x) (+ (* (cos x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin x) (+ (* (cos x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (sin 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) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (- (* 1/720 (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (+ (* (* (neg x) (cos x)) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* (* (neg x) (cos x)) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* (* (neg x) (cos x)) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* (* (neg x) (cos x)) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* (neg x) (cos x)) x) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* (* (neg x) (cos x)) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (* (neg x) (cos x)) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (* (neg x) (cos x)) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (neg x) (cos x)) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (cos x)) #s(hole binary64 (* x (- (* 1/2 (pow x 2)) 1))))
#s(approx (* (neg x) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (* (neg x) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ -1 x) (/ -1 x)) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (* (/ -1 x) (/ -1 x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (* (/ -1 x) (/ -1 x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (* (/ -1 x) (/ -1 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) (/ -1 x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#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) (+ (* (cos x) x) x)) (sin x)) x) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) #s(hole binary64 (/ (pow (sin x) 2) (* x (+ 1 (cos x))))))
#s(approx (/ (sin x) (+ (* (cos x) x) x)) #s(hole binary64 (/ (sin x) (* x (+ 1 (cos x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (+ (* (* (neg x) (cos x)) x) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* (* (neg x) (cos x)) x) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (* (neg x) (cos x)) #s(hole binary64 (* -1 (* x (cos x)))))
#s(approx (- (* (/ -1 x) (/ -1 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 (/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (* (pow x 2) (- (* -1 (cos x)) 1))))))
#s(approx (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (* x (- (* -1 (cos x)) 1))))))
#s(approx (/ (sin x) (+ (* (cos x) x) x)) #s(hole binary64 (* -1 (/ (sin x) (* x (- (* -1 (cos x)) 1))))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (cos x)) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) (/ (sin x) (+ (* (cos x) x) x)) (sin x) x (+ (* (cos x) x) x) (cos x) (/ (/ (* (* (- 1 (cos x)) x) x) (* x 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 (* x x) 1/24 1/2 (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) 1 (* (* x x) (* x x)) (/ (+ (* (* (neg x) (cos x)) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg x) (cos x)) x) (* x x)) (* (neg x) (cos x)) (neg x) (- (* (/ -1 x) (/ -1 x)) (/ (/ (cos x) x) x)) (* (/ -1 x) (/ -1 x)) (/ -1 x) -1 (/ (/ (cos x) x) x) (/ (cos x) x))
5.0ms	x	@	inf	((/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) (/ (sin x) (+ (* (cos x) x) x)) (sin x) x (+ (* (cos x) x) x) (cos x) (/ (/ (* (* (- 1 (cos x)) x) x) (* x 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 (* x x) 1/24 1/2 (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) 1 (* (* x x) (* x x)) (/ (+ (* (* (neg x) (cos x)) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg x) (cos x)) x) (* x x)) (* (neg x) (cos x)) (neg x) (- (* (/ -1 x) (/ -1 x)) (/ (/ (cos x) x) x)) (* (/ -1 x) (/ -1 x)) (/ -1 x) -1 (/ (/ (cos x) x) x) (/ (cos x) x))
3.0ms	x	@	0	((/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) (/ (sin x) (+ (* (cos x) x) x)) (sin x) x (+ (* (cos x) x) x) (cos x) (/ (/ (* (* (- 1 (cos x)) x) x) (* x 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 (* x x) 1/24 1/2 (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (- 1 (cos x)) 1 (* (* x x) (* x x)) (/ (+ (* (* (neg x) (cos x)) x) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg x) (cos x)) x) (* x x)) (* (neg x) (cos x)) (neg x) (- (* (/ -1 x) (/ -1 x)) (/ (/ (cos x) x) x)) (* (/ -1 x) (/ -1 x)) (/ -1 x) -1 (/ (/ (cos x) x) x) (/ (cos x) x))

Time

Variable

Point

Expression

6.0ms

-inf

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

5.0ms

inf

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

3.0ms

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

rewrite326.0ms (6.8%)

Memory

-14.8MiB live, 310.2MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	2305
0	357	2127
1	1317	2024
0	8779	1927

Stop Event

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

Counts

137 → 953

Calls

Call 1

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

Outputs
(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 x) x x) x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (fma.f64 (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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) x x)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) x x)) x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) x)
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) x x)) x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) x x) x))))
(neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) x x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) x x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) x x))))
(/.f64 (/.f64 (sin.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) x x)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 (cos.f64 x) x x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
x
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (cos.f64 x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 x (.f64 (cos.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (cos.f64 x) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (cos.f64 x) x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(fma.f64 (cos.f64 x) x x)
(fma.f64 x (cos.f64 x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (cos.f64 x) x) x)))
(-.f64 x (*.f64 (neg.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) x) #s(literal 2 binary64)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))))
(+.f64 (*.f64 (cos.f64 x) x) x)
(+.f64 x (*.f64 (cos.f64 x) x))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (neg.f64 (cos.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(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)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 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 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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 1/2 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 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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 1/2 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 #s(literal 1/8 binary64) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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))
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#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) x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (cos x) x) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) 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 2 binary64)) x))
#s(approx (+ (* (cos x) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 #s(literal 2 binary64) 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 (cos x)) x) x) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* 1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (* 1/720 (* x x)) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- 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 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (* (* (- 1 (cos x)) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (neg x) (cos x)) (neg.f64 x))
#s(approx (* (neg x) (cos x)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x))
#s(approx (* (neg x) (cos x)) (.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))
#s(approx (* (neg x) (cos 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)) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (/ -1 x) (/ -1 x)) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#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 (/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
#s(approx (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)))
#s(approx (/ (sin x) (+ (* (cos x) x) x)) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (cos x) x) x) (fma.f64 (cos.f64 x) x x))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 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 (cos x)) x) x) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 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)) 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 (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 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 (* (neg x) (cos x)) (*.f64 (neg.f64 x) (cos.f64 x)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (* (* x x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 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 (/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (* (/ (sin x) (+ (* (cos x) x) x)) (sin x)) (/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
#s(approx (/ (sin x) (+ (* (cos x) x) x)) (/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (cos x) x) x) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)))

eval148.0ms (3.1%)

Memory: 11.9MiB live, 159.9MiB allocated; 87ms collecting garbage
Compiler: Compiled 20 341 to 2 422 computations (88.1% saved)

prune47.0ms (1%)

Memory

15.6MiB live, 106.9MiB allocated; 13ms collecting garbage

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	917	11	928
Fresh	3	16	19
Picked	2	3	5
Done	1	5	6
Total	923	35	958

Accuracy

100.0%

Counts

958 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
	57.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (.f64 x x)))
	56.6%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
✓	15.1%	(/.f64 (fma.f64 (.f64 (neg.f64 x) (cos.f64 x)) x (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
	2.7%	(/.f64 (fma.f64 #s(approx (* (neg x) (cos x)) (neg.f64 x)) x (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))
	15.2%	(/.f64 (fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	76.6%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
	77.4%	(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) x)
	57.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	30.7%	(/.f64 (/.f64 (.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x)) (.f64 (neg.f64 x) x)) (.f64 x x))
	57.5%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x)) x)
	14.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (cos.f64 x) x) x)) (.f64 (.f64 x x) (.f64 x x)))
✓	56.6%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	28.1%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	56.5%	(/.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)))
	56.5%	(/.f64 (.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) x) #s(literal 1 binary64)) (*.f64 x x))
	56.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 x (/.f64 x (.f64 x x)))) (.f64 x x))
✓	15.0%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 x x) (*.f64 x x)))
	13.7%	(/.f64 (.f64 (.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x) (.f64 (.f64 x x) (*.f64 x x)))
	47.1%	(/.f64 (.f64 #s(approx (/ (sin x) (+ ( (cos x) x) x)) #s(literal 1/2 binary64)) (sin.f64 x)) x)
✓	14.9%	(/.f64 (.f64 x (-.f64 x (.f64 x (cos.f64 x)))) (.f64 (.f64 x x) (*.f64 x x)))
	56.5%	(/.f64 (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (.f64 x x)))) (.f64 x x))
	28.3%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
	57.0%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	57.4%	(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (cos.f64 x) x) x))
	4.2%	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) x) x))
	28.3%	(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
	56.9%	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) (.f64 x x)))
	56.4%	(.f64 (/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 x x)) (/.f64 x (.f64 x x)))
	77.3%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	56.5%	(.f64 (/.f64 x (.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)))
	45.6%	#s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	45.0%	#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)))
✓	46.1%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	45.1%	#s(approx (/ (* (/ (sin x) (+ (* (cos x) x) x)) (sin 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 1 462 to 542 computations (62.9% saved)

regimes32.0ms (0.7%)

Memory

11.5MiB live, 55.8MiB allocated; 8ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

Calls

2 calls:

18.0ms	x
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.5%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes31.0ms (0.6%)

Memory

-9.9MiB live, 46.1MiB allocated; 10ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

18.0ms	x
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.2%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.5%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.2%)

Memory

-29.7MiB live, 15.2MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes10.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
52.7%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
72.0%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

9.9MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
71.8%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
71.6%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.9b remaining (-2.7%)

Threshold costs -0.9b (-2.7%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
46.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
46.1%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch46.0ms (1%)

Memory

-16.7MiB live, 30.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	0.002764024381435848	1.853693770561177

Samples

6.0ms

128×

valid

Compiler

Compiled 299 to 202 computations (32.4% saved)

Precisions

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

ival-sub: 1.0ms (26.6% of total)

ival-div: 1.0ms (26.6% of total)

ival-cos: 1.0ms (26.6% of total)

ival-mult: 1.0ms (26.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.002764024381435848	1.853693770561177

Compiler

Compiled 299 to 202 computations (32.4% saved)

bsearch34.0ms (0.7%)

Memory

-18.5MiB live, 28.2MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	8.505091311231413e+37	6.539865801240516e+39

Samples

8.0ms

112×

valid

Compiler

Compiled 319 to 206 computations (35.4% saved)

Precisions

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

ival-cos: 4.0ms (65.9% of total)

ival-sub: 1.0ms (16.5% of total)

ival-div: 1.0ms (16.5% of total)

ival-mult: 1.0ms (16.5% 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)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.505091311231413e+37	6.539865801240516e+39

Compiler

Compiled 277 to 185 computations (33.2% saved)

bsearch9.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.228363688916251e+76	1.7687551540162168e+76

Samples

5.0ms

64×

valid

Compiler

Compiled 91 to 78 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cos: 2.0ms (59.3% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

simplify47.0ms (1%)

Memory

-13.8MiB live, 34.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	217
1	85	201
2	251	185
3	1477	185
4	7091	185

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (sin.f64 x)) x)
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 410000000000000034215891918570475487232 binary64)) #s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(if (<=.f64 x #s(literal 410000000000000034215891918570475487232 binary64)) #s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 17500000000000000020083331548850580039248256293185302576386244794675519029248 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (sin.f64 x)) x)
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 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) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1116892707587883/36028797018963968 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) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 410000000000000034215891918570475487232 binary64)) #s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(if (<=.f64 x #s(literal 410000000000000034215891918570475487232 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 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(if (<=.f64 x #s(literal 410000000000000034215891918570475487232 binary64)) #s(approx (/ (/ (* (* (- 1 (cos x)) x) x) (* x x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 410000000000000034215891918570475487232 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 17500000000000000020083331548850580039248256293185302576386244794675519029248 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

derivations296.0ms (6.2%)

Memory

4.4MiB live, 239.8MiB allocated; 23ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 185 to 45 computations (75.7% saved)

preprocess37.0ms (0.8%)

Memory: -3.5MiB live, 40.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 450 to 144 computations (68% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (36.8%)

explain171.0ms (3.6%)

preprocess803.0ms (16.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

rewrite131.0ms (2.7%)

eval7.0ms (0.1%)

prune8.0ms (0.2%)

series18.0ms (0.4%)

rewrite263.0ms (5.5%)

eval96.0ms (2%)

prune32.0ms (0.7%)

series25.0ms (0.5%)

rewrite223.0ms (4.7%)

eval93.0ms (2%)

prune37.0ms (0.8%)

series16.0ms (0.3%)

rewrite326.0ms (6.8%)

eval148.0ms (3.1%)

prune47.0ms (1%)

regimes32.0ms (0.7%)

regimes31.0ms (0.6%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch46.0ms (1%)

bsearch1.0ms (0%)

bsearch34.0ms (0.7%)

bsearch1.0ms (0%)

bsearch9.0ms (0.2%)

simplify47.0ms (1%)

derivations296.0ms (6.2%)

preprocess37.0ms (0.8%)

end0.0ms (0%)

Profiling