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)

sample1.1s (35%)

Results

810.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 645.0ms

ival-mult: 563.0ms (87.3% of total)

ival-sqrt: 68.0ms (10.5% of total)

const: 11.0ms (1.7% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess51.0ms (1.6%)

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)

explain53.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
126	-	3	(3.3071697975631345e-158)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 2 binary64)`

Results

31.0ms

512×

valid

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

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

ival-mult: 8.0ms (50.1% of total)

ival-sqrt: 7.0ms (43.8% of total)

const: 1.0ms (6.3% of total)

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

eval0.0ms (0%)

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

prune6.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.2%)

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

localize27.0ms (0.9%)

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	54.9%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

20.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (70.4% of total)

ival-sqrt: 2.0ms (28.2% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.2%)

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))
0.0ms	x	@	inf	(sqrt (* 2 (* x x)))
0.0ms	x	@	0	(* 2 (* x x))
0.0ms	x	@	inf	(* x x)

rewrite239.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

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

simplify123.0ms (4%)

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)))

eval20.0ms (0.6%)

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

prune19.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	4	164

Accuracy

100.0%

Counts

164 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.8%	(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
▶	100.0%	(hypot.f64 x x)
▶	54.8%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify15.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

6×	`*-commutative`
3×	`associate-r`
2×	`count-2`
2×	`associate-l`
1×	`hypot-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	216
1	27	216
2	33	216
3	36	216
4	39	216

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

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

localize80.0ms (2.6%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
✓	accuracy	29.8%	(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.5%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
✓	accuracy	99.4%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	54.9%	(sqrt.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Results

57.0ms

256×

valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow: 16.0ms (43.5% of total)

ival-mult: 9.0ms (24.5% of total)

ival-sqrt: 6.0ms (16.3% of total)

ival-hypot: 4.0ms (10.9% of total)

const: 1.0ms (2.7% of total)

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

series79.0ms (2.6%)

Counts

11 → 84

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	(* (pow 2 1/4) (sqrt (* x (* x (sqrt 2)))))
16.0ms	x	@	0	(pow (* (pow x 4) 4) 1/4)
1.0ms	x	@	inf	(* (pow 2 1/4) (sqrt (* x (* x (sqrt 2)))))
0.0ms	x	@	0	(* (pow x 4) 4)
0.0ms	x	@	inf	(* (pow x 4) 4)

rewrite144.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log1p-expm1-u`
709×	`expm1-log1p-u`
463×	`log-prod`
261×	`pow-unpow`
186×	`pow-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	158
1	267	139
2	2934	139

Stop Event

1×	node limit

Counts

11 → 362

Calls

Call 1

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

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

simplify226.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

713×	`prod-exp`
655×	`exp-prod`
653×	`fma-neg`
307×	`distribute-lft-in`
280×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	4294975989
1	791	4294975989
2	1999	4294975725
3	4020	4294975725
4	6982	4294975725

Stop Event

1×	node limit

Counts

446 → 270

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

Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #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))))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 1/12 binary64))
(pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/12 binary64))
(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)
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 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)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(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 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(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 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #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 #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))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
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(hypot.f64 x x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 1/12 binary64))
(pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/12 binary64))
(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)
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 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)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(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 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(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 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(hypot.f64 x x)

eval42.0ms (1.3%)

Compiler: Compiled 3664 to 921 computations (74.9% saved)

prune33.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	308	1	309
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	310	3	313

Accuracy

100.0%

Counts

313 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	99.0%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) #s(literal 2/3 binary64)) x)
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

(pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))

✓

cost-diff

(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) #s(literal 2/3 binary64))

✓

cost-diff

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

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8589934604
1	12	8589934604

Stop Event

1×

saturated

Calls

Call 1

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

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

localize58.0ms (1.9%)

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

(pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))

✓

accuracy

99.4%

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

✓

accuracy

98.4%

(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) #s(literal 2/3 binary64))

Results

29.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-pow: 13.0ms (68.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (21.1% of total)

ival-mult: 2.0ms (10.5% of total)

const: 0.0ms (0% of total)

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

series37.0ms (1.2%)

Counts

3 → 12

Calls

Call 1

Inputs

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

#<alt (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) #s(literal 2/3 binary64))>

#<alt (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))>

Outputs
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>

Calls

3 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(* (pow (pow 2 3/4) 2/3) x)
0.0ms	x	@	-inf	(* (pow (pow 2 3/4) 2/3) x)
0.0ms	x	@	inf	(* (pow (pow 2 3/4) 2/3) x)

rewrite70.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

327×	`log1p-expm1-u`
327×	`expm1-log1p-u`
326×	`unpow-prod-down`
306×	`add-exp-log`
289×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	102	26
2	1100	26

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

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

(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) #s(literal 2/3 binary64))

(pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))

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

simplify118.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-define`
663×	`prod-exp`
383×	`associate-+r+`
379×	`associate-+l+`
320×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	200	1405
1	327	1405
2	620	1405
3	1949	1393
4	5080	1389
5	7919	1389

Stop Event

1×	node limit

Counts

87 → 93

Calls

Call 1

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

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

eval13.0ms (0.4%)

Compiler: Compiled 917 to 330 computations (64% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	93	3	96

Accuracy

100.0%

Counts

96 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	99.0%	(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	10	29

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
#s(literal 8 binary64)
#s(literal 1/6 binary64)
x

Outputs
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
#s(literal 8 binary64)
#s(literal 1/6 binary64)
x

localize137.0ms (4.4%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
✓	accuracy	98.4%	(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))

Results

21.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-pow: 5.0ms (40.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (32.6% of total)

ival-mult: 2.0ms (16.3% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 0

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
#<alt (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))>

Outputs

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (pow 8 1/6) x)
0.0ms	x	@	inf	(* (pow 8 1/6) x)
0.0ms	x	@	-inf	(* (pow 8 1/6) x)

rewrite66.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`associate-r`
264×	`log1p-expm1-u`
264×	`expm1-log1p-u`
254×	`unpow-prod-down`
251×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	74	23
2	786	23

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 5 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (cbrt.f64 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 8 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 8 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 64 binary64)) #s(literal 1/12 binary64)))

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

422×	`associate-+l-`
370×	`associate-+r-`
318×	`fma-neg`
314×	`fma-define`
288×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1800
1	363	1420
2	867	1389
3	3399	1389

Stop Event

1×	node limit

Counts

63 → 89

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 5 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (cbrt.f64 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 8 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 8 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 64 binary64)) #s(literal 1/12 binary64)))

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(*.f64 x (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 8 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 8 binary64))))
(fabs.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(*.f64 x (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) (log.f64 (E.f64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64))))
(.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 5 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (sqrt.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 5 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))))
(.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))))
(.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(sqrt.f64 (cbrt.f64 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(log.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 8 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 8 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 64 binary64)) #s(literal 1/12 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))

eval12.0ms (0.4%)

Compiler: Compiled 1107 to 295 computations (73.4% saved)

prune12.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Accuracy

100.0%

Counts

92 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.0%	(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 59 to 38 computations (35.6% saved)

regimes10.0ms (0.3%)

Accuracy

Total -45.1b remaining (-165073.3%)

Threshold costs -45.1b (-165073.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) #s(literal 2/3 binary64)) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 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))))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

3.0ms	x
2.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
2.0ms	(*.f64 x x)
2.0ms	(.f64 #s(literal 2 binary64) (.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)

simplify2.0ms (0%)

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)

soundness197.0ms (6.3%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	done
1×	node limit

Compiler

Compiled 106 to 30 computations (71.7% saved)

preprocess26.0ms (0.8%)

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

analyze0.0ms (0%)

sample1.1s (35%)

preprocess51.0ms (1.6%)

explain53.0ms (1.7%)

eval0.0ms (0%)

prune6.0ms (0.2%)

simplify6.0ms (0.2%)

localize27.0ms (0.9%)

series5.0ms (0.2%)

rewrite239.0ms (7.7%)

simplify123.0ms (4%)

eval20.0ms (0.6%)

prune19.0ms (0.6%)

simplify15.0ms (0.5%)

localize80.0ms (2.6%)

series79.0ms (2.6%)

rewrite144.0ms (4.7%)

simplify226.0ms (7.3%)

eval42.0ms (1.3%)

prune33.0ms (1.1%)

simplify6.0ms (0.2%)

localize58.0ms (1.9%)

series37.0ms (1.2%)

rewrite70.0ms (2.2%)

simplify118.0ms (3.8%)

eval13.0ms (0.4%)

prune10.0ms (0.3%)

simplify6.0ms (0.2%)

localize137.0ms (4.4%)

series1.0ms (0%)

rewrite66.0ms (2.1%)

simplify65.0ms (2.1%)

eval12.0ms (0.4%)

prune12.0ms (0.4%)

regimes10.0ms (0.3%)

simplify2.0ms (0%)

soundness197.0ms (6.3%)

preprocess26.0ms (0.8%)

end0.0ms (0%)

Profiling