Metrics for cos2 (problem 3.4.1)

analyze2.0ms (0%)

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 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.9s (22.2%)

Results

984.0ms	1961×	2	valid
387.0ms	4168×	0	valid
292.0ms	2127×	1	valid

Precisions

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

ival-cos: 990.0ms (70.9% of total)

backward-pass: 126.0ms (9% of total)

ival-div: 102.0ms (7.3% of total)

ival-sub: 95.0ms (6.8% of total)

ival-mult: 68.0ms (4.9% of total)

const: 16.0ms (1.1% of total)

Bogosity

preprocess94.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

387×	`fma-define`
161×	`times-frac`
137×	`fma-neg`
100×	`div-sub`
90×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	132
1	46	132
2	118	128
3	313	128
4	812	128
5	1454	128
6	1846	128
7	1878	128

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

explain220.0ms (2.6%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
78	1	(1.2657057178108318e+98)	1	(3.050324399822625e+174)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
78	0	-	1	(3.21726998411939e-155)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	78	4
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	73	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	73
↳	`(*.f64 x x)`	underflow	73
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	4	0
↳	`(*.f64 x x)`	overflow	51

Confusion

	Predicted +	Predicted -
+	153	0
-	2	101

Precision

0.9870967741935484

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	153	0	0
-	2	4	97

Precision?

0.9622641509433962

Recall?

1.0

Freqs

test

number	freq
0	101
1	155

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

72.0ms	148×	2	valid
66.0ms	144×	1	valid
32.0ms	220×	0	valid

Compiler

Compiled 60 to 26 computations (56.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-cos: 61.0ms (45.7% of total)

ival-div: 46.0ms (34.5% of total)

ival-sub: 13.0ms (9.7% of total)

backward-pass: 7.0ms (5.2% of total)

ival-mult: 5.0ms (3.7% of total)

const: 1.0ms (0.7% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(cos.f64 x)
✓	cost-diff	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Rules

508×	`fma-define`
251×	`fma-neg`
142×	`times-frac`
69×	`div-sub`
63×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	23	72
2	34	72
3	52	72
4	90	72
5	146	72
6	215	72
7	378	72
8	779	72
9	1395	72
10	1907	72
11	1911	72

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #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)

localize74.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	73.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	71.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

33.0ms	74×	2	valid
15.0ms	72×	1	valid
10.0ms	110×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-cos: 29.0ms (70.9% of total)

ival-div: 3.0ms (7.3% of total)

backward-pass: 3.0ms (7.3% of total)

ival-sub: 3.0ms (7.3% of total)

ival-mult: 2.0ms (4.9% of total)

const: 1.0ms (2.4% of total)

series6.0ms (0.1%)

Counts

4 → 32

Calls

Call 1

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

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- 1 (cos x)) (* x x))
1.0ms	x	@	inf	(* x x)
1.0ms	x	@	-inf	(/ (- 1 (cos x)) (* x x))
0.0ms	x	@	0	(/ (- 1 (cos x)) (* x x))
0.0ms	x	@	0	(cos x)

rewrite245.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`log1p-expm1-u`
691×	`expm1-log1p-u`
575×	`unpow-prod-down`
329×	`log-prod`
265×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	132	61
2	1817	61

Stop Event

1×	node limit

Counts

4 → 262

Calls

Call 1

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

Outputs
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 x)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)))))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.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 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))

simplify183.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-neg`
403×	`distribute-lft-neg-in`
348×	`unswap-sqr`
321×	`associate-r`
321×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	730	4294982666
1	1551	4294981201
2	4927	4294976742

Stop Event

1×	node limit

Counts

294 → 388

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
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(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 x)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
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(cos.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
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(cos.f64 x)
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
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(.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 7 binary64)) (cbrt.f64 (cos.f64 x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(cos.f64 x)
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(cos.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
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(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
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(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
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(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
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eval86.0ms (1%)

Compiler: Compiled 7875 to 1254 computations (84.1% saved)

prune393.0ms (4.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	365	23	388
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	365	24	389

Accuracy

99.9%

Counts

389 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.1%	(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
▶	43.1%	(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 x x))
	43.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
	43.2%	(/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (expm1.f64 (cos.f64 x)))) (*.f64 x x))
▶	43.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
	42.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
✓	43.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	32.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
	41.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	29.3%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 6 binary64))))
▶	21.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
	43.0%	(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
	43.1%	(/.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
	43.2%	(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
	44.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	43.7%	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
	43.8%	(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
	43.3%	(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
	57.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
	43.8%	(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	44.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	43.5%	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
	31.7%	(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 6 binary64)))
▶	58.7%	#s(literal 1/2 binary64)

Compiler

Compiled 715 to 392 computations (45.2% saved)

simplify220.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
✓	cost-diff	12864	(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 x x))
✓	cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
	cost-diff	0	(cos.f64 x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	cost-diff	0	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓	cost-diff	6464	(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))

Rules

1526×	`fma-define`
1158×	`fma-neg`
727×	`div-sub`
306×	`associate-*r/`
301×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	336
1	46	336
2	65	336
3	117	324
4	241	324
5	585	324
6	1151	324
7	1879	324
8	2531	324
9	3682	324
10	4993	324
11	5528	324
12	5798	324
13	5912	324
14	6031	324
15	6433	324
16	6854	324
17	7931	324

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x x)
x
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
x
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 2 binary64)
(*.f64 x x)

Outputs
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 x x)
x
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 2 binary64)
(*.f64 x x)

localize258.0ms (3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
	accuracy	73.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	73.1%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	71.5%	(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 x x))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.2%	(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
	accuracy	73.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	71.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓	accuracy	99.9%	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓	accuracy	99.2%	(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
	accuracy	73.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	73.0%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	71.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))

Results

95.0ms	111×	0	valid
81.0ms	73×	2	valid
46.0ms	72×	1	valid

Compiler

Compiled 110 to 21 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-pow: 92.0ms (55.3% of total)

ival-cos: 31.0ms (18.6% of total)

ival-div: 16.0ms (9.6% of total)

backward-pass: 11.0ms (6.6% of total)

ival-sqrt: 7.0ms (4.2% of total)

ival-sub: 6.0ms (3.6% of total)

ival-mult: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

series19.0ms (0.2%)

Counts

10 → 92

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))>
#<alt (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))>
#<alt (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 x x))>
#<alt (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))>

Outputs
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/40320 binary64) (.f64 #s(literal -1/48 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ (- 1 (cos x)) (pow (sqrt x) 4))
1.0ms	x	@	-inf	(/ (- 1 (cos x)) x)
1.0ms	x	@	0	(sqrt (- 1 (cos x)))
1.0ms	x	@	inf	(/ x (/ (- 1 (cos x)) x))
1.0ms	x	@	-inf	(/ x (/ (- 1 (cos x)) x))

rewrite336.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1157×	`log1p-expm1-u`
719×	`expm1-log1p-u`
474×	`prod-diff`
113×	`pow1`
110×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	213
1	357	183
2	3680	183

Stop Event

1×	node limit

Counts

10 → 533

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 x)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 x)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1 binary64)))

simplify373.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

484×	`associate-r`
483×	`times-frac`
442×	`associate-l`
290×	`associate-*r/`
269×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	907	39570
1	2238	27727

Stop Event

1×	node limit

Counts

625 → 454

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/40320 binary64) (.f64 #s(literal -1/48 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(literal 0 binary64)
#s(literal 0 binary64)
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (cos.f64 x) (.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x))))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1 binary64)))

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3024 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3024 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (.f64 #s(literal 1/2304 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
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(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))

eval141.0ms (1.7%)

Compiler: Compiled 19745 to 3083 computations (84.4% saved)

prune167.0ms (2%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	964	10	974
Fresh	5	13	18
Picked	3	2	5
Done	0	1	1
Total	972	26	998

Accuracy

99.9%

Counts

998 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.0%	(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))
	43.4%	(pow.f64 (/.f64 x (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))))) #s(literal -1 binary64))
	43.7%	(pow.f64 (/.f64 x (+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 x)))))) #s(literal -1 binary64))
	44.1%	(pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64))
	44.1%	(pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))) #s(literal -1 binary64))
	41.4%	(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
▶	43.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
	44.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	44.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	43.2%	(/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (expm1.f64 (cos.f64 x)))) (*.f64 x x))
	42.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))
✓	43.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
	42.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
✓	43.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	32.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
	41.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	43.1%	(/.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
	43.2%	(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
▶	44.0%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
	43.8%	(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
	43.3%	(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))
▶	57.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
	44.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	43.5%	(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
✓	58.7%	#s(literal 1/2 binary64)
▶	22.2%	#s(literal 0 binary64)

Compiler

Compiled 813 to 436 computations (46.4% saved)

simplify122.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	6784	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
✓	cost-diff	13120	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal -2 binary64))
✓	cost-diff	6464	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓	cost-diff	128	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
✓	cost-diff	256	(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))

Rules

593×	`times-frac`
560×	`fma-neg`
501×	`sub-neg`
432×	`distribute-lft-neg-in`
388×	`fma-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	459
1	58	450
2	119	448
3	263	422
4	606	422
5	1443	393
6	3183	367
7	5616	367
8	7534	367

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 0 binary64)
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
x
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
#s(literal -1 binary64)
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 x x)

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 0 binary64)
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
(/.f64 x (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
x
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
#s(literal -1 binary64)
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))

localize427.0ms (5%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	99.5%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	73.4%	(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	71.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	accuracy	99.9%	(*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))
✓	accuracy	44.9%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
✓	accuracy	99.9%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))
✓	accuracy	99.8%	(/.f64 (cos.f64 x) x)
✓	accuracy	99.2%	(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))
✓	accuracy	45.9%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

167.0ms	77×	2	valid
111.0ms	31×	3	valid
70.0ms	110×	0	valid
24.0ms	38×	1	valid

Compiler

Compiled 135 to 27 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-pow: 116.0ms (47.4% of total)

ival-cos: 59.0ms (24.1% of total)

ival-div: 23.0ms (9.4% of total)

backward-pass: 18.0ms (7.4% of total)

ival-mult: 9.0ms (3.7% of total)

ival-sub: 8.0ms (3.3% of total)

ival-add: 5.0ms (2% of total)

...c/correct-round.rkt:121:19: 4.0ms (1.6% of total)

const: 2.0ms (0.8% of total)

series27.0ms (0.3%)

Counts

16 → 113

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))>
#<alt (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))>
#<alt (pow.f64 x #s(literal -2 binary64))>
#<alt (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (pow.f64 (cos.f64 x) #s(literal 2 binary64))>
#<alt (/.f64 (cos.f64 x) x)>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 x))>

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow (/ x (- (/ 1 x) (/ (cos x) x))) -1)
2.0ms	x	@	inf	(pow (/ x (- (/ 1 x) (/ (cos x) x))) -1)
1.0ms	x	@	inf	(/ (- 1 (pow (cos x) 2)) (+ 1 (cos x)))
1.0ms	x	@	-inf	(/ (- 1 (pow (cos x) 2)) (+ 1 (cos x)))
1.0ms	x	@	-inf	(/ (/ (- 1 (pow (cos x) 2)) (+ 1 (cos x))) (* x x))

rewrite285.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

389×	`log1p-expm1-u`
223×	`expm1-log1p-u`
216×	`add-cube-cbrt`
215×	`add-exp-log`
215×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	364
1	497	305
2	7689	305

Stop Event

1×	node limit

Counts

16 → 755

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))

simplify351.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/r*`
395×	`fma-define`
391×	`associate-*r/`
332×	`associate-*l/`
244×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1237	31787
1	2903	29915

Stop Event

1×	node limit

Counts

868 → 799

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 x)))
(.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))

Outputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3024 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3024 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
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(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (+.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (log1p.f64 (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))

eval136.0ms (1.6%)

Compiler: Compiled 20096 to 3673 computations (81.7% saved)

prune168.0ms (2%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1089	6	1095
Fresh	11	7	18
Picked	3	2	5
Done	0	3	3
Total	1103	18	1121

Accuracy

100.0%

Counts

1121 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.0%	(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))
	43.1%	(pow.f64 (.f64 (/.f64 x (-.f64 x (.f64 x (cos.f64 x)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
▶	43.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
	44.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	70.3%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
▶	44.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	36.8%	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
▶	42.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))
✓	43.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓	43.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	41.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	43.1%	(/.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
	44.1%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
	43.8%	(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
▶	57.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
	44.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
✓	58.7%	#s(literal 1/2 binary64)
✓	22.2%	#s(literal 0 binary64)

Compiler

Compiled 390 to 249 computations (36.2% saved)

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
	cost-diff	0	(cos.f64 x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(cos.f64 (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/24 binary64) (.f64 x x))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) (sin.f64 x))
✓	cost-diff	6528	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	cost-diff	6528	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))

Rules

732×	`unsub-neg`
492×	`div-sub`
482×	`sub-neg`
395×	`times-frac`
370×	`fma-neg`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	35	681
1	70	651
2	148	651
3	301	644
4	682	644
5	1625	626
6	3494	614
7	6264	614

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
x
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(*.f64 x x)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
#s(literal 1/2 binary64)
(.f64 #s(literal -1/24 binary64) (.f64 x x))
#s(literal -1/24 binary64)
(*.f64 x x)
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 8 binary64)

Outputs
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
x
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(*.f64 x x)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(.f64 x (.f64 x #s(literal -1/24 binary64)))
#s(literal -1/24 binary64)
(*.f64 x x)
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64))) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64))) (.f64 x (fma.f64 x (cos.f64 x) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 x (cos.f64 x) x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 x (fma.f64 x (cos.f64 x) x)))
(/.f64 (fma.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (cos.f64 x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 8 binary64)

localize302.0ms (3.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	98.9%	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
	accuracy	73.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	71.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))
✓	accuracy	99.7%	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
	accuracy	99.5%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	73.4%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
✓	accuracy	71.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	accuracy	73.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	73.0%	(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal -1/24 binary64) (.f64 x x))
✓	accuracy	99.7%	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	accuracy	99.6%	(*.f64 (sin.f64 x) (sin.f64 x))
	accuracy	99.5%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	71.5%	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))

Results

119.0ms	74×	2	valid
77.0ms	72×	1	valid
48.0ms	110×	0	valid

Compiler

Compiled 194 to 31 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-cos: 56.0ms (32% of total)

ival-div: 28.0ms (16% of total)

backward-pass: 22.0ms (12.6% of total)

ival-pow: 21.0ms (12% of total)

ival-sub: 13.0ms (7.4% of total)

ival-mult: 11.0ms (6.3% of total)

ival-add: 11.0ms (6.3% of total)

ival-sin: 6.0ms (3.4% of total)

...c/correct-round.rkt:121:19: 4.0ms (2.3% of total)

const: 2.0ms (1.1% of total)

series30.0ms (0.4%)

Counts

16 → 176

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 x))>
#<alt (sin.f64 x)>
#<alt (.f64 #s(literal -1/24 binary64) (.f64 x x))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))>
#<alt (cos.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))>
#<alt (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))>
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))>

Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/3024 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))
2.0ms	x	@	-inf	(pow (pow x 1/4) 8)
1.0ms	x	@	inf	(/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))
1.0ms	x	@	inf	(/ (/ (- 1 (/ (+ 1 (cos (* x 2))) 2)) (+ 1 (cos x))) (* x x))
1.0ms	x	@	-inf	(/ (/ (- 1 (/ (+ 1 (cos (* x 2))) 2)) (+ 1 (cos x))) (* x x))

rewrite212.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`log1p-expm1-u`
278×	`expm1-log1p-u`
270×	`add-exp-log`
270×	`pow1`
270×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	438
1	614	358

Stop Event

1×	node limit

Counts

16 → 477

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))

Outputs
(+.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 x #s(literal 2 binary64))) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
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(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (log1p.f64 (cos.f64 x))) (log.f64 (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (+.f64 (-.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (log1p.f64 (cos.f64 x))) (log.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify226.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-r`
477×	`associate-l`
302×	`times-frac`
294×	`*-commutative`
240×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	942	23670
1	2155	23670

Stop Event

1×	node limit

Counts

653 → 471

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
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(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x) (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
(.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (log1p.f64 (cos.f64 x))) (log.f64 (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (+.f64 (-.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (log1p.f64 (cos.f64 x))) (log.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))

eval165.0ms (1.9%)

Compiler: Compiled 22966 to 3671 computations (84% saved)

prune171.0ms (2%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1145	6	1151
Fresh	4	4	8
Picked	3	2	5
Done	1	4	5
Total	1153	16	1169

Accuracy

100.0%

Counts

1169 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.0%	(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))
	44.8%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓	44.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	36.8%	(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
✓	43.2%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	70.6%	(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
	43.4%	(/.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
	44.1%	(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
✓	57.7%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
	44.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
	71.0%	(*.f64 (/.f64 (sin.f64 x) (pow.f64 x #s(literal 2 binary64))) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	99.8%	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
	44.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
	44.8%	(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
✓	58.7%	#s(literal 1/2 binary64)
✓	22.2%	#s(literal 0 binary64)

Compiler

Compiled 804 to 281 computations (65% saved)

regimes28.0ms (0.3%)

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x x))
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (expm1.f64 (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 x #s(literal 2 binary64))) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 x x))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x x))
(pow.f64 (.f64 (/.f64 x (-.f64 x (.f64 x (cos.f64 x)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal 6 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 x (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))))) #s(literal -1 binary64))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 x (+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 x)))))) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))))))

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

Calls

2 calls:

15.0ms	x
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes19.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))

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

Calls

2 calls:

13.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
5.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
80.4%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
22.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.166109177768987e-5	794.6411003172786

Results

9.0ms

144×

valid

Compiler

Compiled 184 to 135 computations (26.6% saved)

Precisions

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

ival-cos: 2.0ms (42.5% of total)

ival-sub: 1.0ms (21.3% of total)

ival-div: 1.0ms (21.3% of total)

ival-mult: 1.0ms (21.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.166109177768987e-5	794.6411003172786

Results

8.0ms

144×

valid

Compiler

Compiled 184 to 135 computations (26.6% saved)

Precisions

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

ival-cos: 2.0ms (42.8% of total)

ival-sub: 1.0ms (21.4% of total)

ival-div: 1.0ms (21.4% of total)

ival-mult: 1.0ms (21.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.247455183545077e+72	1.4800052145640247e+78

Results

13.0ms

144×

valid

Compiler

Compiled 121 to 90 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 5.0ms (53.3% of total)

ival-sub: 2.0ms (21.3% of total)

ival-div: 1.0ms (10.7% of total)

ival-mult: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.247455183545077e+72	1.4800052145640247e+78

Results

14.0ms

144×

valid

Compiler

Compiled 67 to 63 computations (6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 7.0ms (68.3% of total)

ival-sub: 1.0ms (9.8% of total)

ival-div: 1.0ms (9.8% of total)

ival-mult: 1.0ms (9.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
3×	`*-commutative`
3×	`+-commutative`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	230
1	47	230
2	51	230
3	53	230
4	54	230

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 119999999999999992791711785436734146363018478165098748993720564156436311965696 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(if (<=.f64 x #s(literal 119999999999999992791711785436734146363018478165098748993720564156436311965696 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 119999999999999992791711785436734146363018478165098748993720564156436311965696 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(if (<=.f64 x #s(literal 119999999999999992791711785436734146363018478165098748993720564156436311965696 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 119999999999999992791711785436734146363018478165098748993720564156436311965696 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness805.0ms (9.5%)

Rules

1157×	`log1p-expm1-u`
719×	`expm1-log1p-u`
691×	`log1p-expm1-u`
691×	`expm1-log1p-u`
575×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	730	4294982666
1	1551	4294981201
2	4927	4294976742
0	11	61
1	132	61
2	1817	61
0	25	213
1	357	183
2	3680	183
0	35	438
1	614	358
0	30	364
1	497	305
2	7689	305

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 380 to 138 computations (63.7% saved)

preprocess84.0ms (1%)

Remove: (abs x)
Compiler: Compiled 200 to 102 computations (49% saved)

analyze2.0ms (0%)

sample1.9s (22.2%)

preprocess94.0ms (1.1%)

explain220.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify51.0ms (0.6%)

localize74.0ms (0.9%)

series6.0ms (0.1%)

rewrite245.0ms (2.9%)

simplify183.0ms (2.2%)

eval86.0ms (1%)

prune393.0ms (4.6%)

simplify220.0ms (2.6%)

localize258.0ms (3%)

series19.0ms (0.2%)

rewrite336.0ms (4%)

simplify373.0ms (4.4%)

eval141.0ms (1.7%)

prune167.0ms (2%)

simplify122.0ms (1.4%)

localize427.0ms (5%)

series27.0ms (0.3%)

rewrite285.0ms (3.4%)

simplify351.0ms (4.1%)

eval136.0ms (1.6%)

prune168.0ms (2%)

simplify89.0ms (1%)

localize302.0ms (3.6%)

series30.0ms (0.4%)

rewrite212.0ms (2.5%)

simplify226.0ms (2.7%)

eval165.0ms (1.9%)

prune171.0ms (2%)

regimes28.0ms (0.3%)

regimes19.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch19.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify5.0ms (0.1%)

soundness805.0ms (9.5%)

preprocess84.0ms (1%)

end0.0ms (0%)

Profiling