Metrics for tanhf (example 3.4)

analyze153.0ms (3.5%)

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
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-sin: 32.0ms (43.5% of total)

ival-cos: 17.0ms (23.1% of total)

ival-sub: 13.0ms (17.7% of total)

ival-div: 8.0ms (10.9% of total)

ival-true: 2.0ms (2.7% of total)

const: 1.0ms (1.4% of total)

backward-pass: 1.0ms (1.4% of total)

sample2.0s (46.4%)

Results

798.0ms	1940×	2	valid
555.0ms	4216×	0	valid
329.0ms	2098×	1	valid
1.0ms	2×	3	valid

Precisions

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

ival-cos: 790.0ms (56.3% of total)

ival-sin: 293.0ms (20.9% of total)

ival-div: 123.0ms (8.8% of total)

ival-sub: 90.0ms (6.4% of total)

backward-pass: 89.0ms (6.3% of total)

ival-true: 10.0ms (0.7% of total)

const: 9.0ms (0.6% of total)

Bogosity

preprocess55.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

199×	`fma-define`
83×	`fma-neg`
47×	`times-frac`
47×	`div-sub`
37×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	46	60
2	85	56
3	191	56
4	470	56
5	815	56
6	981	56

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain283.0ms (6.5%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
77	1	(3.520466879183662e-162)	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
75	0	-	5	(3.6092282998693673e-159)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
0	0	-	0	-	`x`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`

Results

74.0ms	142×	2	valid
28.0ms	230×	0	valid
24.0ms	140×	1	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-cos: 58.0ms (63.8% of total)

ival-sin: 13.0ms (14.3% of total)

ival-div: 7.0ms (7.7% of total)

backward-pass: 7.0ms (7.7% of total)

ival-sub: 6.0ms (6.6% of total)

const: 1.0ms (1.1% of total)

ival-true: 1.0ms (1.1% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 5 to 4 computations (20% saved)

localize33.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

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

Results

22.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

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

ival-tan: 5.0ms (67.9% of total)

ival-div: 2.0ms (27.1% of total)

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

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 x #s(literal 2 binary64))>

Outputs
#<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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ x 2)
1.0ms	x	@	inf	(tan (/ x 2))
1.0ms	x	@	-inf	(tan (/ x 2))
1.0ms	x	@	0	(tan (/ x 2))
0.0ms	x	@	-inf	(/ x 2)

rewrite201.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`frac-times`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`
304×	`add-exp-log`
295×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	76	24
2	874	24

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 (E.f64)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 5 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))) (+.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))

simplify120.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-define`
578×	`prod-exp`
252×	`exp-prod`
213×	`*-commutative`
207×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	3032
1	485	2937
2	1232	2907
3	3536	2907
4	6978	2907

Stop Event

1×	node limit

Counts

126 → 148

Calls

Call 1

Inputs
(*.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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 (E.f64)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 5 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))) (+.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))

Outputs
(*.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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 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 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
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(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5 binary64))))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)

eval19.0ms (0.4%)

Compiler: Compiled 1602 to 494 computations (69.2% saved)

prune18.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	4	149

Accuracy

100.0%

Counts

149 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
▶	56.8%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize64.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)

Rules

3×	`1-exp`
3×	`*-commutative`
3×	`associate-r`
2×	`*-lft-identity`
2×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	213
1	22	213
2	25	201
3	28	201
4	38	201
5	38	201

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

37.0ms

256×

valid

Compiler

Compiled 63 to 11 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 6.0ms (27.9% of total)

ival-div: 5.0ms (23.3% of total)

ival-mult: 5.0ms (23.3% of total)

ival-sin: 5.0ms (23.3% of total)

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

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

7 → 72

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))>
#<alt (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))>
#<alt (cos.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (sin.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 x #s(literal 1/2 binary64))>

Outputs
#<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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<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 (.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 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 1/384 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 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 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 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 1/3840 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 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 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (sin (* x 1/2)) (cos (* x 1/2)))
1.0ms	x	@	-inf	(/ (cos (* x 1/2)) (sin (* x 1/2)))
1.0ms	x	@	inf	(/ (cos (* x 1/2)) (sin (* x 1/2)))
0.0ms	x	@	0	(/ (cos (* x 1/2)) (sin (* x 1/2)))
0.0ms	x	@	0	(sin (* x 1/2))

rewrite157.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`unpow-prod-down`
652×	`log1p-expm1-u`
652×	`expm1-log1p-u`
375×	`log-prod`
142×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	186	96
2	1882	96

Stop Event

1×	node limit

Counts

7 → 439

Calls

Call 1

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

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

simplify290.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr`
398×	`associate-r`
396×	`times-frac`
369×	`associate-l`
331×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	810	12884916818
1	1565	12884916628
2	5378	12884916496

Stop Event

1×	node limit

Counts

511 → 420

Calls

Call 1

Inputs
(*.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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 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 1/384 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 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 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 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 1/3840 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 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 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
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(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
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(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))

Outputs
(*.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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 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 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)))) x)
(/.f64 (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 -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/384 binary64) #s(literal -1/8 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 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 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 1/384 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/46080 binary64))) #s(literal -1/8 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 -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/48 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
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(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 7 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 5 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)

eval65.0ms (1.5%)

Compiler: Compiled 9795 to 1551 computations (84.2% saved)

prune117.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	544	2	546
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	545	5	550

Accuracy

100.0%

Counts

550 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
▶	56.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓	56.8%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 34 to 25 computations (26.5% saved)

localize49.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))

Rules

3×	`1-exp`
3×	`*-commutative`
3×	`associate-/r/`
2×	`associate-/r*`
1×	`remove-double-div`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	90
1	24	90
2	27	90
3	29	90
4	30	90

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

29.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (46.7% of total)

ival-tan: 5.0ms (33.4% of total)

ival-mult: 2.0ms (13.4% of total)

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

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

5 → 48

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) x)>

Outputs
#<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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<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 (.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) 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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 1 (tan (* 1/2 x)))
1.0ms	x	@	-inf	(/ 1 (tan (* 1/2 x)))
0.0ms	x	@	0	(/ 2 x)
0.0ms	x	@	inf	(/ 2 x)
0.0ms	x	@	-inf	(/ 2 x)

rewrite117.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`unpow-prod-down`
577×	`log1p-expm1-u`
577×	`expm1-log1p-u`
512×	`pow1`
315×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	181	68
2	1820	68

Stop Event

1×	node limit

Counts

5 → 284

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
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(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify128.0ms (3%)

Algorithm

1×	egg-herbie

Rules

833×	`fma-define`
551×	`times-frac`
459×	`associate-*r/`
297×	`associate-*l/`
296×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	21474843604
1	1028	21474843455
2	2418	21474843381

Stop Event

1×	node limit

Counts

332 → 305

Calls

Call 1

Inputs
(*.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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) 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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
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(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 2 binary64) x))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(*.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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 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 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)))) x)
(/.f64 (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 -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) 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 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 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 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 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 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 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 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(.f64 (sqrt.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
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(/.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -3 binary64)))
(/.f64 #s(literal 2 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) x)

eval294.0ms (6.8%)

Compiler: Compiled 3708 to 959 computations (74.1% saved)

prune42.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	326	0	326
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	326	5	331

Accuracy

100.0%

Counts

331 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
✓	56.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓	56.8%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 82 to 47 computations (42.7% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
56.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	12	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness48.0ms (1.1%)

Rules

199×	`fma-define`
83×	`fma-neg`
47×	`times-frac`
47×	`div-sub`
37×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	46	60
2	85	56
3	191	56
4	470	56
5	815	56
6	981	56

Stop Event

1×	done
1×	saturated

Compiler

Compiled 20 to 15 computations (25% saved)

preprocess37.0ms (0.8%)

Remove: (negabs x)
Compiler: Compiled 72 to 56 computations (22.2% saved)

tanhf (example 3.4)

analyze153.0ms (3.5%)

sample2.0s (46.4%)

preprocess55.0ms (1.3%)

explain283.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.8%)

series4.0ms (0.1%)

rewrite201.0ms (4.6%)

simplify120.0ms (2.8%)

eval19.0ms (0.4%)

prune18.0ms (0.4%)

localize64.0ms (1.5%)

series8.0ms (0.2%)

rewrite157.0ms (3.6%)

simplify290.0ms (6.7%)

eval65.0ms (1.5%)

prune117.0ms (2.7%)

localize49.0ms (1.1%)

series6.0ms (0.1%)

rewrite117.0ms (2.7%)

simplify128.0ms (3%)

eval294.0ms (6.8%)

prune42.0ms (1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

simplify2.0ms (0%)

soundness48.0ms (1.1%)

preprocess37.0ms (0.8%)

end0.0ms (0%)

Profiling