Metrics for sqrtexp (problem 3.4.4)

analyze181.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
53.1%	53.1%	46.9%	0%	0%	0%	0%	6
54.7%	54.7%	45.3%	0%	0%	0%	0%	7
55.5%	55.4%	44.5%	0%	0%	0%	0%	8
55.9%	55.8%	44.1%	0%	0%	0%	0%	9
56.1%	56%	43.9%	0%	0%	0%	0%	10
56.2%	56.1%	43.8%	0%	0%	0%	0%	11
56.2%	56.2%	43.8%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-sqrt: 27.0ms (28.7% of total)

ival-sub: 22.0ms (23.4% of total)

ival-exp: 22.0ms (23.4% of total)

ival-mult: 15.0ms (15.9% of total)

ival-div: 6.0ms (6.4% of total)

const: 3.0ms (3.2% of total)

sample2.9s (7.8%)

Results

1.8s	5129×	1	valid
318.0ms	3077×	0	valid
187.0ms	2626×	0	unsamplable
5.0ms	50×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-exp: 818.0ms (48.9% of total)

ival-sub: 241.0ms (14.4% of total)

backward-pass: 207.0ms (12.4% of total)

ival-mult: 153.0ms (9.1% of total)

ival-sqrt: 113.0ms (6.8% of total)

ival-div: 103.0ms (6.2% of total)

const: 37.0ms (2.2% of total)

Bogosity

preprocess121.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

612×	`div-sub`
326×	`associate--r+`
307×	`associate-+l-`
283×	`fma-define`
257×	`associate--l+`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	56	136
2	82	136
3	128	136
4	221	96
5	401	84
6	803	84
7	2959	84

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))

explain441.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
166	0	-	-	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`
166	0	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
3	0	-	-	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	0	-	-	`x`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	1	(76.06673618646371)	-	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`

Results

95.0ms	224×	256	valid
135.0ms	156×	1024	valid
55.0ms	108×	512	valid
18.0ms	20×	2048	valid
1.0ms	4×	256	infinite

Compiler

Compiled 107 to 79 computations (26.2% saved)

Precisions

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

ival-exp: 93.0ms (49.7% of total)

ival-mult: 37.0ms (19.8% of total)

ival-sub: 31.0ms (16.6% of total)

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

ival-sqrt: 8.0ms (4.3% of total)

const: 7.0ms (3.7% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize81.0ms (0.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 x))

Results

62.0ms	254×	256	valid
0.0ms	2×	256	infinite

Compiler

Compiled 15 to 9 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 44.0ms (91% of total)

ival-exp: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

const: 1.0ms (2.1% of total)

series1.0ms (0%)

Counts

1 → 4

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))>

Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ 1 (exp x))
0.0ms	x	@	inf	(+ 1 (exp x))
0.0ms	x	@	-inf	(+ 1 (exp x))

rewrite418.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

322×	`log1p-expm1-u`
322×	`expm1-log1p-u`
311×	`add-exp-log`
299×	`add-log-exp`
297×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	79	14
2	909	14

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (exp.f64 x))

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

simplify31.7s (84.1%)

Algorithm

1×	egg-herbie

Rules

457×	`times-frac`
337×	`fma-define`
296×	`distribute-lft-in`
270×	`distribute-rgt-in`
266×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	17179871643
1	385	17179871531
2	919	17179871403
3	3661	8589936907

Stop Event

1×	node limit

Counts

73 → 87

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 x) (log.f64 (E.f64)))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log.f64 (E.f64)) (exp.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 (exp.f64 x)) (E.f64)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (.f64 (exp.f64 (exp.f64 x)) (E.f64)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (exp.f64 (exp.f64 x)) (E.f64)))) (log.f64 (sqrt.f64 (.f64 (exp.f64 (exp.f64 x)) (E.f64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 5/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 4/3 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 5 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 (.f64 x #s(literal 3 binary64))))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (exp.f64 x))))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (exp.f64 x)) (E.f64)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2/3 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64))

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

eval39.0ms (0.1%)

Compiler: Compiled 1124 to 745 computations (33.7% saved)

prune12.0ms (0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Accuracy

100.0%

Counts

88 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.1%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
▶	66.6%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
▶	64.6%	(sqrt.f64 (+.f64 #s(literal 2 binary64) x))
✓	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
▶	71.0%	(sqrt.f64 #s(literal 2 binary64))

Compiler

Compiled 40 to 33 computations (17.5% saved)

localize659.0ms (1.8%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
✓	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
✓	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
✓	99.7%	(*.f64 #s(literal 1/6 binary64) x)
✓	100.0%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
✓	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
✓	100.0%	(sqrt.f64 (+.f64 #s(literal 2 binary64) x))

Results

429.0ms	171×	256	valid
123.0ms	85×	256	invalid

Compiler

Compiled 119 to 91 computations (23.5% saved)

Precisions

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

ival-mult: 46.0ms (55.5% of total)

ival-add: 25.0ms (30.2% of total)

ival-sqrt: 8.0ms (9.7% of total)

const: 4.0ms (4.8% of total)

series19.0ms (0%)

Counts

7 → 62

Calls

Call 1

Inputs
#<alt (sqrt.f64 (+.f64 #s(literal 2 binary64) x))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))>

Outputs
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt x>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.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 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.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 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.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 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>

Calls

21 calls:

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

rewrite241.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`log1p-expm1-u`
772×	`expm1-log1p-u`
150×	`add-cube-cbrt`
149×	`add-exp-log`
149×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	180
1	341	148
2	4973	148

Stop Event

1×	node limit

Counts

7 → 240

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))

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

simplify142.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

486×	`cancel-sign-sub-inv`
437×	`times-frac`
369×	`fma-neg`
369×	`distribute-rgt-neg-in`
350×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	666	12605
1	1536	12056
2	5067	9671

Stop Event

1×	node limit

Counts

302 → 327

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
x
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.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 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.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 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
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(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))

Outputs
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 x (+.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(.f64 x (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x))
x
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 #s(literal -3/64 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 x (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
(.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
(.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (neg.f64 x))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#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 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

eval147.0ms (0.4%)

Compiler: Compiled 5682 to 4587 computations (19.3% saved)

prune52.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	325	2	327
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	325	7	332

Accuracy

100.0%

Counts

332 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.0%	(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
✓	65.1%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
✓	66.6%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
✓	64.6%	(sqrt.f64 (+.f64 #s(literal 2 binary64) x))
✓	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
▶	2.5%	(sqrt.f64 x)
✓	71.0%	(sqrt.f64 #s(literal 2 binary64))

Compiler

Compiled 48 to 39 computations (18.8% saved)

localize30.0ms (0.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))

Results

10.0ms	159×	256	invalid
10.0ms	97×	256	valid

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sqrt: 5.0ms (61.3% of total)

ival-mult: 2.0ms (24.5% of total)

const: 1.0ms (12.3% of total)

series3.0ms (0%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

3 calls:

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

rewrite105.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`associate-r`
411×	`associate-l`
249×	`log1p-expm1-u`
249×	`expm1-log1p-u`
241×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	66	14
2	728	14

Stop Event

1×	node limit

Counts

1 → 90

Calls

Call 1

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

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

simplify129.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

623×	`times-frac`
500×	`sub-neg`
357×	`div-sub`
332×	`*-commutative`
317×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	60129544617
1	489	60129544143
2	1145	60129544128
3	2422	4294970148
4	4740	4294970148

Stop Event

1×	node limit

Counts

90 → 106

Calls

Call 1

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

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

eval33.0ms (0.1%)

Compiler: Compiled 1274 to 1067 computations (16.2% saved)

prune18.0ms (0%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	106	7	113

Accuracy

100.0%

Counts

113 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.0%	(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
✓	65.1%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
✓	66.6%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
✓	64.6%	(sqrt.f64 (+.f64 #s(literal 2 binary64) x))
✓	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	2.5%	(sqrt.f64 x)
✓	71.0%	(sqrt.f64 #s(literal 2 binary64))

Compiler

Compiled 102 to 81 computations (20.6% saved)

regimes7.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 2 binary64) x))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Outputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Calls

3 calls:

3.0ms

2.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes3.0ms (0%)

Accuracy

Total -44.2b remaining (-238.4%)

Threshold costs -44.2b (-238.4%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 x)
(sqrt.f64 (+.f64 #s(literal 2 binary64) x))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))

Outputs
(sqrt.f64 #s(literal 2 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
71.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	18	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(sqrt.f64 #s(literal 2 binary64))

soundness148.0ms (0.4%)

Rules

612×	`div-sub`
326×	`associate--r+`
307×	`associate-+l-`
283×	`fma-define`
257×	`associate--l+`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	56	136
2	82	136
3	128	136
4	221	96
5	401	84
6	803	84
7	2959	84

Stop Event

1×	done
1×	node limit

Compiler

Compiled 93 to 63 computations (32.3% saved)

preprocess26.0ms (0.1%)

Compiler: Compiled 42 to 36 computations (14.3% saved)

sqrtexp (problem 3.4.4)

analyze181.0ms (0.5%)

sample2.9s (7.8%)

preprocess121.0ms (0.3%)

explain441.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize81.0ms (0.2%)

series1.0ms (0%)

rewrite418.0ms (1.1%)

simplify31.7s (84.1%)

eval39.0ms (0.1%)

prune12.0ms (0%)

localize659.0ms (1.8%)

series19.0ms (0%)

rewrite241.0ms (0.6%)

simplify142.0ms (0.4%)

eval147.0ms (0.4%)

prune52.0ms (0.1%)

localize30.0ms (0.1%)

series3.0ms (0%)

rewrite105.0ms (0.3%)

simplify129.0ms (0.3%)

eval33.0ms (0.1%)

prune18.0ms (0%)

regimes7.0ms (0%)

regimes3.0ms (0%)

simplify3.0ms (0%)

soundness148.0ms (0.4%)

preprocess26.0ms (0.1%)

end0.0ms (0%)

Profiling