Metrics for sqrt C (should all be same)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample955.0ms (34.6%)

Results

747.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 482.0ms

ival-sqrt: 250.0ms (51.8% of total)

ival-mult: 219.0ms (45.4% of total)

ival-true: 7.0ms (1.5% of total)

ival-assert: 4.0ms (0.8% of total)

...in/eval/compile.rkt:70:19: 3.0ms (0.6% of total)

Bogosity

preprocess93.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-define`
16×	`associate-r`
13×	`distribute-lft-neg-in`
13×	`associate-l`
12×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	30	96
2	69	96
3	144	96
4	218	96
5	293	96
6	295	96

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (neg.f64 x)))))

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

Symmetry

(abs x)

explain66.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
128	0	-	2	(1.5251766348757654e-162)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 x x)`
0	1	(1.5251766348757654e-162)	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	65	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	65
↳	`(*.f64 x x)`	overflow	65
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	uflow-rescue	61	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	61
↳	`(*.f64 x x)`	underflow	62
`*.f64`	`(.f64 #s(literal 2 binary64) (.f64 x x))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	127	1
-	0	128

Precision

1.0

Recall

0.9921875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	1
-	0	0	128

Precision?

1.0

Recall?

0.9921875

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

30.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (67.1% of total)

ival-sqrt: 4.0ms (29.8% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	cost-diff	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Rules

3×	`*-commutative`
1×	`associate-r`
1×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	60
1	13	60
2	16	60

Stop Event

1×

saturated

Calls

Call 1

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

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

localize21.0ms (0.8%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	accuracy	53.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

14.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 4.0ms (68% of total)

ival-sqrt: 2.0ms (34% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt (* 2 (* x x)))
1.0ms	x	@	inf	(* 2 (* x x))
1.0ms	x	@	inf	(sqrt (* 2 (* x x)))
0.0ms	x	@	0	(* 2 (* x x))
0.0ms	x	@	inf	(* x x)

rewrite239.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`unpow-prod-down`
317×	`log1p-expm1-u`
317×	`expm1-log1p-u`
304×	`add-exp-log`
286×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	89	40
2	981	40

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

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

simplify123.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

652×	`prod-exp`
533×	`associate-+r-`
429×	`exp-prod`
352×	`fma-define`
328×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	8589938263
1	439	8589938263
2	926	8589938186
3	2898	8589938186
4	4966	8589938186

Stop Event

1×	node limit

Counts

154 → 163

Calls

Call 1

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

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

eval21.0ms (0.7%)

Compiler: Compiled 1702 to 472 computations (72.3% saved)

prune20.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	2	164

Accuracy

100.0%

Counts

164 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	66.5%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
✓	cost-diff	(hypot.f64 x x)
✓	cost-diff	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
✓	cost-diff	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
✓	cost-diff	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))

Rules

8×	`*-commutative`
4×	`associate-r`
3×	`fma-define`
3×	`count-2`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	143
1	23	143
2	35	143
3	40	143
4	41	143
5	45	143
6	45	143

Stop Event

1×

saturated

Calls

Call 1

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

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

localize50.0ms (1.8%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 1/4 binary64))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
✓	accuracy	65.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))

Results

35.0ms

256×

valid

Compiler

Compiled 41 to 12 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 5.0ms (26.3% of total)

ival-hypot: 5.0ms (26.3% of total)

ival-pow: 5.0ms (26.3% of total)

ival-sqrt: 4.0ms (21% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series138.0ms (5%)

Counts

6 → 60

Calls

Call 1

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

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>

Calls

18 calls:

Time	Variable		Point	Expression
79.0ms	x	@	-inf	(* (sqrt (* (* 2 x) (sqrt x))) (pow x 1/4))
19.0ms	x	@	0	(sqrt (* (* 2 x) (sqrt x)))
12.0ms	x	@	-inf	(pow x 1/4)
10.0ms	x	@	inf	(sqrt (* (* 2 x) (sqrt x)))
7.0ms	x	@	0	(pow x 1/4)

rewrite110.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log1p-expm1-u`
634×	`expm1-log1p-u`
421×	`log-prod`
344×	`pow1`
313×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	125
1	175	96
2	1940	92

Stop Event

1×	node limit

Counts

6 → 175

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) x)
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 2 binary64)))

simplify196.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

1053×	`fma-define`
909×	`prod-exp`
441×	`fmm-def`
406×	`distribute-lft-in`
330×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	417	4294972071
1	754	4294971686
2	1644	4294971619
3	3295	4294971595
4	7296	4294971595

Stop Event

1×	node limit

Counts

235 → 221

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) x)
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 2 binary64)))

Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(neg.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(neg.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(neg.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(neg.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 x (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))))
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(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 x))
(pow.f64 x #s(literal 1/4 binary64))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(pow.f64 x #s(literal 1/4 binary64))
(cbrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/4 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 1/4 binary64))

eval28.0ms (1%)

Compiler: Compiled 2861 to 765 computations (73.3% saved)

prune31.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	221	2	223

Accuracy

100.0%

Counts

223 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	99.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(pow.f64 x #s(literal 3/4 binary64))
✓	cost-diff	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
✓	cost-diff	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	18	87
2	25	87
3	27	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize44.0ms (1.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
	accuracy	100.0%	(pow.f64 x #s(literal 1/4 binary64))
✓	accuracy	99.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))

Results

30.0ms

256×

valid

Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow: 10.0ms (57.4% of total)

ival-sqrt: 4.0ms (23% of total)

ival-mult: 3.0ms (17.2% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series45.0ms (1.6%)

Counts

4 → 36

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 3/4 binary64))>

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(pow x 3/4)
11.0ms	x	@	0	(pow x 3/4)
7.0ms	x	@	-inf	(* (sqrt 2) (pow x 3/4))
7.0ms	x	@	0	(* (sqrt 2) (pow x 3/4))
7.0ms	x	@	inf	(pow x 3/4)

rewrite87.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`unpow-prod-down`
530×	`log1p-expm1-u`
530×	`expm1-log1p-u`
428×	`pow1`
339×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	141	49
2	1632	49

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 x #s(literal 3/4 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 9/4 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 9/4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 9/4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/8 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3/4 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9/4 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 3/8 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3/8 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))))

simplify143.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

555×	`distribute-lft-in`
536×	`prod-exp`
457×	`distribute-rgt-in`
413×	`fma-define`
368×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	369	3695
1	654	3657
2	1282	3569
3	3450	3191
4	7010	3175

Stop Event

1×	node limit

Counts

180 → 179

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 9/4 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 9/4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 9/4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/8 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/8 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3/4 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9/4 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 3/8 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3/8 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))))

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

eval27.0ms (1%)

Compiler: Compiled 2973 to 743 computations (75% saved)

prune31.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	217	2	219

Accuracy

100.0%

Counts

219 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

Compiler

Compiled 46 to 29 computations (37% saved)

regimes8.0ms (0.3%)

Accuracy

Total -30.0b remaining (-767136.6%)

Threshold costs -30b (-767136.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(hypot.f64 x x)
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))

Outputs
(hypot.f64 x x)

Calls

4 calls:

2.0ms	x
2.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
2.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

soundness174.0ms (6.3%)

Rules

652×	`prod-exp`
533×	`associate-+r-`
429×	`exp-prod`
352×	`fma-define`
328×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	8589938263
1	439	8589938263
2	926	8589938186
3	2898	8589938186
4	4966	8589938186

Stop Event

1×	done
1×	node limit

Compiler

Compiled 106 to 30 computations (71.7% saved)

preprocess74.0ms (2.7%)

Remove: (abs x)
Compiler: Compiled 30 to 18 computations (40% saved)

sqrt C (should all be same)

analyze0.0ms (0%)

sample955.0ms (34.6%)

preprocess93.0ms (3.4%)

explain66.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.3%)

localize21.0ms (0.8%)

series4.0ms (0.1%)

rewrite239.0ms (8.7%)

simplify123.0ms (4.5%)

eval21.0ms (0.7%)

prune20.0ms (0.7%)

simplify10.0ms (0.3%)

localize50.0ms (1.8%)

series138.0ms (5%)

rewrite110.0ms (4%)

simplify196.0ms (7.1%)

eval28.0ms (1%)

prune31.0ms (1.1%)

simplify14.0ms (0.5%)

localize44.0ms (1.6%)

series45.0ms (1.6%)

rewrite87.0ms (3.2%)

simplify143.0ms (5.2%)

eval27.0ms (1%)

prune31.0ms (1.1%)

regimes8.0ms (0.3%)

simplify4.0ms (0.1%)

soundness174.0ms (6.3%)

preprocess74.0ms (2.7%)

end0.0ms (0%)

Profiling