Metrics for tanhf (example 3.4)

analyze151.0ms (2.8%)

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: 70.0ms

ival-cos: 31.0ms (44.6% of total)

ival-sub: 18.0ms (25.9% of total)

ival-sin: 13.0ms (18.7% of total)

ival-div: 6.0ms (8.6% of total)

const: 2.0ms (2.9% of total)

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

sample2.0s (37%)

Results

971.0ms	2058×	2	valid
474.0ms	4120×	0	valid
310.0ms	2078×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-cos: 963.0ms (65.8% of total)

ival-sin: 198.0ms (13.5% of total)

ival-div: 111.0ms (7.6% of total)

ival-sub: 92.0ms (6.3% of total)

backward-pass: 84.0ms (5.7% of total)

const: 16.0ms (1.1% of total)

Bogosity

preprocess63.0ms (1.2%)

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)

explain255.0ms (4.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
80	1	(1.3453049614653658e+248)	1	(2538975077300288.5)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
56	0	-	4	(1.3032984222996434e-155)	`(/.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

158.0ms	104×	2	valid
32.0ms	272×	0	valid
23.0ms	136×	1	valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-cos: 156.0ms (83.3% of total)

ival-sin: 12.0ms (6.4% of total)

backward-pass: 7.0ms (3.7% of total)

ival-div: 6.0ms (3.2% of total)

ival-sub: 5.0ms (2.7% of total)

const: 1.0ms (0.5% 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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 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)))

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)

localize27.0ms (0.5%)

Localize:

Found 2 expressions of interest:

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

Results

21.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-tan: 11.0ms (79.3% of total)

ival-div: 2.0ms (14.4% 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	(tan (/ x 2))
1.0ms	x	@	inf	(/ x 2)
1.0ms	x	@	-inf	(tan (/ x 2))
1.0ms	x	@	0	(tan (/ x 2))
0.0ms	x	@	-inf	(/ x 2)

rewrite241.0ms (4.5%)

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 (2.2%)

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)))
(/.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)) (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)

eval21.0ms (0.4%)

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

prune16.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	2	149

Accuracy

100.0%

Counts

149 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	8	15

Stop Event

1×

saturated

Calls

Call 1

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

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

localize13.0ms (0.2%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)

Results

8.0ms

256×

valid

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

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

ival-mult: 2.0ms (78.6% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

3 calls:

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

rewrite164.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`log1p-expm1-u`
477×	`expm1-log1p-u`
316×	`associate-r`
286×	`associate-l`
176×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	46	10
2	488	10
3	5773	10

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.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 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #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 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 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(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 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(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 #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 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

618×	`sub-neg`
563×	`times-frac`
327×	`div-sub`
323×	`associate-r`
312×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	478
1	153	474
2	385	467
3	1597	463
4	4782	463

Stop Event

1×	node limit

Counts

25 → 32

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.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 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #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 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 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(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 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(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 #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 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #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 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.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 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.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 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.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 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))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(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 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))))
(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 #s(literal 1/2 binary64) x))
(*.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)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.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 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(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)

eval4.0ms (0.1%)

Compiler: Compiled 315 to 90 computations (71.4% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Accuracy

100.0%

Counts

34 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

4.5%

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

✓

48.4%

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

✓

100.0%

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

Compiler

Compiled 31 to 16 computations (48.4% saved)

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	-6144	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	-5888	(-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	1152	(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))

Rules

721×	`fma-define`
716×	`distribute-lft-in`
650×	`distribute-rgt-in`
537×	`distribute-neg-in`
457×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	198
1	42	186
2	89	174
3	244	103
4	969	101
5	5114	101

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) x)
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))

localize60.0ms (1.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
✓	accuracy	70.8%	(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	56.2%	(-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))

Results

34.0ms	120×	1	valid
11.0ms	136×	0	valid

Compiler

Compiled 65 to 10 computations (84.6% saved)

Precisions

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

ival-mult: 7.0ms (33.5% of total)

ival-add: 4.0ms (19.1% of total)

ival-sub: 4.0ms (19.1% of total)

ival-div: 2.0ms (9.6% of total)

backward-pass: 2.0ms (9.6% of total)

const: 1.0ms (4.8% of total)

series7.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<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)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.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 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (- (* (+ (* 1/2 x) 1) (+ (* 1/2 x) 1)) 1) (+ (+ (* 1/2 x) 1) 1))
1.0ms	x	@	0	(/ (- (* (+ (* 1/2 x) 1) (+ (* 1/2 x) 1)) 1) (+ (+ (* 1/2 x) 1) 1))
1.0ms	x	@	-inf	(/ (- (* (+ (* 1/2 x) 1) (+ (* 1/2 x) 1)) 1) (+ (+ (* 1/2 x) 1) 1))
0.0ms	x	@	inf	(* (+ (* 1/2 x) 1) (+ (* 1/2 x) 1))
0.0ms	x	@	-inf	(* (+ (* 1/2 x) 1) (+ (* 1/2 x) 1))

rewrite135.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`log1p-expm1-u`
973×	`expm1-log1p-u`
669×	`fma-define`
371×	`fma-neg`
131×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	103
1	200	64
2	3106	64

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

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

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

simplify234.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

427×	`cube-prod`
382×	`fma-neg`
377×	`exp-prod`
366×	`times-frac`
285×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	584	10683
1	1309	9501
2	5248	9501

Stop Event

1×	node limit

Counts

381 → 441

Calls

Call 1

Inputs
(*.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)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.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 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (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 #s(literal 1/2 binary64) x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.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))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.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)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 3 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)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 0 binary64))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64))

Outputs
(*.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)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
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(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))

eval65.0ms (1.2%)

Compiler: Compiled 11117 to 1194 computations (89.3% saved)

prune312.0ms (5.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	439	2	441
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	440	4	444

Accuracy

100.0%

Counts

444 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	51.3%	(/.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	48.4%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 31 to 22 computations (29% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6144	(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	640	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
	cost-diff	-6144	(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	-6144	(/.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)

Rules

4×	`fma-define`
3×	`1-exp`
2×	`+-commutative`
1×	`associate-+r+`
1×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	115
1	27	103
2	31	103

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
x
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x

localize45.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
	accuracy	100.0%	(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
	accuracy	100.0%	(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))

Results

27.0ms

256×

valid

Compiler

Compiled 61 to 10 computations (83.6% saved)

Precisions

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

ival-div: 3.0ms (30.4% of total)

ival-add: 3.0ms (30.4% of total)

ival-mult: 2.0ms (20.3% of total)

ival-sub: 1.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

4 → 36

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/32 binary64) x) #s(literal 1/8 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 #s(literal -1/128 binary64) x))) #s(literal 1/8 binary64)))))>
#<alt #s(literal 2 binary64)>
#<alt (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt #s(literal 2 binary64)>
#<alt (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) x)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (*.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.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 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>

Calls

9 calls:

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

rewrite105.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`log1p-expm1-u`
746×	`expm1-log1p-u`
674×	`unpow-prod-down`
351×	`log-prod`
327×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	176	35
2	2114	35

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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

simplify155.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-define`
512×	`times-frac`
293×	`distribute-lft-in`
279×	`distribute-rgt-in`
255×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	5516
1	990	5420
2	2572	5126

Stop Event

1×	node limit

Counts

206 → 256

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/32 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 #s(literal -1/128 binary64) x))) #s(literal 1/8 binary64)))))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (*.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.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 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (/.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.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))) #s(literal 1 binary64))
(fma.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))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/32 binary64) x) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/32 binary64) x #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/32 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 #s(literal -1/128 binary64) x))) #s(literal 1/8 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/32 binary64) (*.f64 x #s(literal -1/128 binary64))) #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/128 binary64) #s(literal 1/32 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) x)))
(+.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (+.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))) (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x)) (/.f64 #s(literal -128 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) x)))
(+.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (*.f64 #s(literal 128 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))
(+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x)) x))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x) #s(literal -8 binary64)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) x)
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
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(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.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))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.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))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

eval79.0ms (1.5%)

Compiler: Compiled 11395 to 1653 computations (85.5% saved)

prune324.0ms (6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	631	5	636
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	633	7	640

Accuracy

100.0%

Counts

640 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(/.f64 x (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
	5.5%	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
	48.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	48.4%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
	7.2%	#s(literal 2 binary64)
	4.2%	#s(literal 0 binary64)

Compiler

Compiled 152 to 64 computations (57.9% saved)

regimes11.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 x (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

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

Calls

2 calls:

6.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
4.0ms	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)

regimes4.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 x (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
51.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
51.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
51.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
7.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
4.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch21.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.058701361893081e-10	6.28250692862248

Results

14.0ms

160×

valid

Compiler

Compiled 132 to 109 computations (17.4% saved)

Precisions

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

ival-cos: 4.0ms (38.4% of total)

ival-sin: 4.0ms (38.4% of total)

ival-sub: 1.0ms (9.6% of total)

ival-div: 1.0ms (9.6% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.058701361893081e-10	6.28250692862248

Results

16.0ms

160×

valid

Compiler

Compiled 92 to 79 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 4.0ms (32.8% of total)

ival-sin: 4.0ms (32.8% of total)

ival-div: 3.0ms (24.6% of total)

ival-sub: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	108
1	37	108
2	45	108
3	51	108
4	56	108
5	58	108

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)))
(if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)

Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)))
(if (<=.f64 x #s(literal 7093169413108531/2251799813685248 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)))
(if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 8782019273372467/4503599627370496 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)

soundness456.0ms (8.5%)

Rules

1008×	`log1p-expm1-u`
736×	`fma-define`
512×	`times-frac`
477×	`expm1-log1p-u`
316×	`associate-r`

Iterations

Useful iterations: 0 (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
0	7	10
1	46	10
2	488	10
3	5773	10
0	475	5516
1	990	5420
2	2572	5126

Stop Event

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

Compiler

Compiled 335 to 84 computations (74.9% saved)

preprocess103.0ms (1.9%)

Remove: (negabs x)
Compiler: Compiled 148 to 100 computations (32.4% saved)

analyze151.0ms (2.8%)

sample2.0s (37%)

preprocess63.0ms (1.2%)

explain255.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize27.0ms (0.5%)

series4.0ms (0.1%)

rewrite241.0ms (4.5%)

simplify120.0ms (2.2%)

eval21.0ms (0.4%)

prune16.0ms (0.3%)

simplify7.0ms (0.1%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite164.0ms (3%)

simplify62.0ms (1.2%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

simplify49.0ms (0.9%)

localize60.0ms (1.1%)

series7.0ms (0.1%)

rewrite135.0ms (2.5%)

simplify234.0ms (4.4%)

eval65.0ms (1.2%)

prune312.0ms (5.8%)

simplify7.0ms (0.1%)

localize45.0ms (0.8%)

series4.0ms (0.1%)

rewrite105.0ms (2%)

simplify155.0ms (2.9%)

eval79.0ms (1.5%)

prune324.0ms (6%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes13.0ms (0.2%)

bsearch21.0ms (0.4%)

bsearch22.0ms (0.4%)

simplify4.0ms (0.1%)

soundness456.0ms (8.5%)

preprocess103.0ms (1.9%)

end0.0ms (0%)

Profiling