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 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

const: 0.0ms (0% of total)

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

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

sample608.0ms (32.3%)

Results

418.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-mult: 144.0ms (54.5% of total)

ival-sqrt: 108.0ms (40.9% of total)

const: 9.0ms (3.4% of total)

backward-pass: 2.0ms (0.8% of total)

Bogosity

preprocess44.0ms (2.3%)

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)

explain49.0ms (2.6%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
117	0	-	2	(1.6719382853584205e-162)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	1	(1.3433086061296084e-162)	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	0	-	0	-	`x`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`#s(literal 2 binary64)`

Results

30.0ms

512×

valid

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

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

ival-mult: 8.0ms (56.3% of total)

ival-sqrt: 5.0ms (35.2% of total)

const: 1.0ms (7% of total)

backward-pass: 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
▶	57.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.5%)

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 (1.1%)

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	57.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

14.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (61.6% of total)

ival-sqrt: 2.0ms (30.8% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.3%)

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)

rewrite194.0ms (10.3%)

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)))

simplify121.0ms (6.5%)

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)))

eval35.0ms (1.9%)

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

prune19.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	161	3	164

Accuracy

100.0%

Counts

164 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

4×	`*-commutative`
2×	`count-2`
1×	`associate-r`
1×	`hypot-undefine`
1×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	105
1	20	105
2	25	105
3	28	105

Stop Event

1×

saturated

Calls

Call 1

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

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

localize43.0ms (2.3%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Results

30.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (37.7% of total)

ival-sqrt: 5.0ms (31.4% of total)

ival-hypot: 4.0ms (25.1% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.5%)

Counts

7 → 52

Calls

Call 1

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

Calls

18 calls:

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

rewrite113.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`unpow-prod-down`
506×	`log1p-expm1-u`
506×	`expm1-log1p-u`
426×	`pow1`
379×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	169	76
2	1954	76

Stop Event

1×	node limit

Counts

7 → 390

Calls

Call 1

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

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

simplify260.0ms (13.8%)

Algorithm

1×	egg-herbie

Rules

852×	`prod-exp`
418×	`distribute-lft-in`
391×	`exp-prod`
280×	`distribute-rgt-in`
250×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	657	8827
1	1168	8065
2	2834	7848
3	5687	7571

Stop Event

1×	node limit

Counts

442 → 389

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

eval46.0ms (2.4%)

Compiler: Compiled 4493 to 1182 computations (73.7% saved)

prune44.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	389	3	392

Accuracy

100.0%

Counts

392 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes8.0ms (0.4%)

Accuracy

Total -27.5b remaining (-352036.6%)

Threshold costs -27.5b (-352036.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

4 calls:

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

simplify3.0ms (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)

soundness222.0ms (11.8%)

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)

preprocess18.0ms (0.9%)

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

sqrt C (should all be same)

analyze0.0ms (0%)

sample608.0ms (32.3%)

preprocess44.0ms (2.3%)

explain49.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.5%)

localize21.0ms (1.1%)

series6.0ms (0.3%)

rewrite194.0ms (10.3%)

simplify121.0ms (6.5%)

eval35.0ms (1.9%)

prune19.0ms (1%)

simplify8.0ms (0.4%)

localize43.0ms (2.3%)

series9.0ms (0.5%)

rewrite113.0ms (6%)

simplify260.0ms (13.8%)

eval46.0ms (2.4%)

prune44.0ms (2.3%)

regimes8.0ms (0.4%)

simplify3.0ms (0.1%)

soundness222.0ms (11.8%)

preprocess18.0ms (0.9%)

end0.0ms (0%)

Profiling