Metrics for sqrt E (should all be same)

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

ival-add: 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)

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

sample1.1s (22.6%)

Results

815.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 516.0ms

ival-pow: 218.0ms (42.3% of total)

ival-sqrt: 146.0ms (28.3% of total)

ival-add: 131.0ms (25.4% of total)

const: 18.0ms (3.5% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess100.0ms (2%)

Algorithm

1×	egg-herbie

Rules

57×	`fma-define`
43×	`fma-neg`
28×	`associate-r`
26×	`unsub-neg`
14×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	25	56
2	54	56
3	171	56
4	322	56
5	397	56
6	413	56

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

explain127.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
138	-	4	(1.1919123195739554e-158)	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`x`
0	-	0	-	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`

Results

75.0ms

512×

valid

Compiler

Compiled 53 to 17 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-pow: 13.0ms (45.1% of total)

ival-sqrt: 9.0ms (31.3% of total)

ival-add: 6.0ms (20.8% of total)

const: 1.0ms (3.5% of total)

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

eval1.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	50.4%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6528	(hypot.f64 x x)
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	6528	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Rules

2×	`*-commutative`
2×	`associate-r`
2×	`count-2`
1×	`hypot-undefine`
1×	`unpow2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	16	61
2	24	61
3	25	61

Stop Event

1×

saturated

Calls

Call 1

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

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

localize70.0ms (1.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	50.4%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

52.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-hypot: 13.0ms (45.1% of total)

ival-pow: 7.0ms (24.3% of total)

ival-mult: 4.0ms (13.9% of total)

ival-sqrt: 4.0ms (13.9% of total)

const: 1.0ms (3.5% of total)

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

series15.0ms (0.3%)

Counts

4 → 24

Calls

Call 1

Inputs
#<alt (sqrt.f64 (*.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 (hypot.f64 x x)>

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* 2 (pow x 2))
2.0ms	x	@	0	(sqrt (* 2 (pow x 2)))
1.0ms	x	@	inf	(sqrt (* 2 (pow x 2)))
1.0ms	x	@	0	(* 2 (pow x 2))
1.0ms	x	@	inf	(pow x 2)

rewrite430.0ms (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

412×	`unpow-prod-down`
318×	`log1p-expm1-u`
318×	`expm1-log1p-u`
305×	`add-exp-log`
290×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	66
1	112	52
2	1244	52

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

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

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

simplify156.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

61×	`*-commutative`
49×	`associate-l`
47×	`associate-r`
35×	`exp-prod`
29×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	6272
1	477	6272
2	983	6272

Stop Event

1×

unsound

Counts

227 → 157

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

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

eval141.0ms (2.8%)

Compiler: Compiled 1554 to 450 computations (71% saved)

prune48.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	155	4	159

Accuracy

100.0%

Counts

159 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.6%	(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
▶	97.9%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
✓	100.0%	(hypot.f64 x x)
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
✓	cost-diff	0	(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
	cost-diff	0	(hypot.f64 x x)
✓	cost-diff	0	(cbrt.f64 (hypot.f64 x x))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Rules

4×	`*-commutative`
2×	`associate-r`
2×	`count-2`
1×	`cube-mult`
1×	`hypot-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	126
1	26	126
2	31	126
3	34	126
4	37	126

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
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(cbrt.f64 (hypot.f64 x x))
(hypot.f64 x x)
x
#s(literal 3 binary64)
(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
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(hypot.f64 x x)
(cbrt.f64 (hypot.f64 x x))
(hypot.f64 x x)
x
#s(literal 3 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))
(*.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)

localize149.0ms (2.9%)

Localize:

Found 8 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	26.6%	(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	99.1%	(cbrt.f64 (hypot.f64 x x))
✓	accuracy	98.9%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Results

109.0ms

256×

valid

Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-pow: 36.0ms (55.7% of total)

ival-hypot: 10.0ms (15.5% of total)

ival-mult: 9.0ms (13.9% of total)

ival-sqrt: 5.0ms (7.7% of total)

ival-cbrt: 4.0ms (6.2% of total)

const: 1.0ms (1.5% of total)

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

series168.0ms (3.3%)

Counts

7 → 60

Calls

Call 1

Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (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))>

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

18 calls:

Time	Variable		Point	Expression
135.0ms	x	@	0	(pow (* (pow x 4) 4) 1/4)
6.0ms	x	@	0	(cbrt (sqrt (+ (* x x) (* x x))))
5.0ms	x	@	-inf	(pow (cbrt (sqrt (+ (* x x) (* x x)))) 3)
5.0ms	x	@	inf	(cbrt (sqrt (+ (* x x) (* x x))))
1.0ms	x	@	0	(* (pow x 4) 4)

rewrite617.0ms (12.1%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log1p-expm1-u`
536×	`expm1-log1p-u`
457×	`pow1`
337×	`log-prod`
314×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	90
1	201	87
2	2210	87

Stop Event

1×	node limit

Counts

7 → 351

Calls

Call 1

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

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

simplify439.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

719×	`prod-exp`
711×	`fma-define`
588×	`distribute-lft-out`
381×	`exp-prod`
362×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	461	8589941945
1	814	8589941801
2	1768	8589941763
3	4586	8589941725

Stop Event

1×	node limit

Counts

411 → 251

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (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))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.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 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 9 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/4 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 4 binary64) (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 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 x x)))
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(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
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(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
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(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
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(.f64 (pow.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
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(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 (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)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))

Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (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))))
(.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))))
(.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))))
(.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))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (cbrt.f64 (*.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 (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 x (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 x (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 x (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 x (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 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 #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 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x x) #s(literal 1 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))
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 9 binary64))
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 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 1/6 binary64)) #s(literal 6 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(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 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 3/2 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)))
(*.f64 x (sqrt.f64 #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)))
(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 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1/3 binary64)) (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (log.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1/3 binary64))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 1 binary64))))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x x)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (hypot.f64 x x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x x)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (+.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (hypot.f64 x x)))
(exp.f64 (+.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)))
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(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1/3 binary64)) (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (log.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1/3 binary64))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 1 binary64))))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x x)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (hypot.f64 x x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x x)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (+.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (hypot.f64 x x)))
(exp.f64 (+.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3/2 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (+.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 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 #s(literal 2 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))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 12 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (hypot.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 6 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.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)))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 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 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 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 #s(literal 2 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))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.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)))
(pow.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))))
(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))))
(pow.f64 x #s(literal 4 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 12 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 12 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))

eval99.0ms (1.9%)

Compiler: Compiled 2480 to 670 computations (73% saved)

prune72.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	253	3	256

Accuracy

100.0%

Counts

256 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.9%	(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
✓	100.0%	(hypot.f64 x x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

(pow.f64 x #s(literal 8 binary64))

✓

cost-diff

(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))

✓

cost-diff

(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	12	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 1/8 binary64)

Outputs
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 1/8 binary64)

localize240.0ms (4.7%)

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

(pow.f64 x #s(literal 8 binary64))

✓

accuracy

100.0%

(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))

✓

accuracy

16.9%

(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))

Results

221.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-pow: 25.0ms (82% of total)

ival-mult: 4.0ms (13.1% of total)

const: 1.0ms (3.3% of total)

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

series62.0ms (1.2%)

Counts

3 → 24

Calls

Call 1

Inputs

#<alt (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))>

#<alt (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))>

#<alt (pow.f64 x #s(literal 8 binary64))>

Outputs
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>

Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	x	@	0	(pow (* (pow x 8) 16) 1/8)
1.0ms	x	@	0	(* (pow x 8) 16)
1.0ms	x	@	inf	(* (pow x 8) 16)
1.0ms	x	@	inf	(pow (* (pow x 8) 16) 1/8)
1.0ms	x	@	inf	(pow x 8)

rewrite168.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`unpow-prod-down`
366×	`log1p-expm1-u`
366×	`expm1-log1p-u`
351×	`add-exp-log`
326×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	102	42
2	1113	42

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))

(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))

(pow.f64 x #s(literal 8 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/32 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/2 binary64)) #s(literal 1/16 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64))) #s(literal 1/8 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 5/16 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/48 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/32 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 5 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/48 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) (cbrt.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 5/16 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/48 binary64)))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 32 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 4096 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 4096 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 4096 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 16 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 24 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 24 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 20 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 24 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 24 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 20 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 16 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 24 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 8 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 24 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))

simplify293.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-neg`
494×	`prod-exp`
415×	`associate-+r-`
364×	`associate-+l-`
308×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	274	3357
1	444	3327
2	831	3245
3	2693	3233
4	5148	3233

Stop Event

1×	node limit

Counts

121 → 132

Calls

Call 1

Inputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/32 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/2 binary64)) #s(literal 1/16 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64))) #s(literal 1/8 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 5/16 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/48 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/32 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 5 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/48 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) (cbrt.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 5/16 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/48 binary64)))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 32 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 4096 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 4096 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 4096 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 16 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 24 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 24 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 20 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 24 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 24 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 20 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 16 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 24 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 8 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 24 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))

Outputs
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 256 binary64)) #s(literal 1/16 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 1/16 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 16 binary64))) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/32 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3/2 binary64)) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/32 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 3/2 binary64)) #s(literal 1/16 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64))) #s(literal 1/8 binary64)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 #s(literal 16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64))) #s(literal 1/8 binary64)))
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(*.f64 (cbrt.f64 (pow.f64 x #s(literal 20 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 20 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 16 binary64)))
(pow.f64 x #s(literal 8 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))))
(pow.f64 x #s(literal 8 binary64))
(cbrt.f64 (pow.f64 x #s(literal 24 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 8 binary64))))
(pow.f64 x #s(literal 8 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 8 binary64))))
(pow.f64 x #s(literal 8 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))))
(pow.f64 x #s(literal 8 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 16 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 24 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 24 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 4 binary64)))
(pow.f64 x #s(literal 8 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 8 binary64))

eval52.0ms (1%)

Compiler: Compiled 1669 to 453 computations (72.9% saved)

prune300.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Accuracy

100.0%

Counts

135 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	16.9%	(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
✓	100.0%	(hypot.f64 x x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 59 to 37 computations (37.3% saved)

regimes26.0ms (0.5%)

Accuracy

Total -53.3b remaining (-227613%)

Threshold costs -53.3b (-227613%)

Counts

7 → 1

Calls

Call 1

Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 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 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

11.0ms	x
5.0ms	(pow.f64 x #s(literal 2 binary64))
4.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
4.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

soundness56.0ms (1.1%)

Rules

57×	`fma-define`
43×	`fma-neg`
28×	`associate-r`
26×	`unsub-neg`
14×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	25	56
2	54	56
3	171	56
4	322	56
5	397	56
6	413	56

Stop Event

1×	done
1×	saturated

Compiler

Compiled 32 to 13 computations (59.4% saved)

preprocess58.0ms (1.1%)

Remove: (abs x)
Compiler: Compiled 42 to 22 computations (47.6% saved)

sqrt E (should all be same)

analyze1.0ms (0%)

sample1.1s (22.6%)

preprocess100.0ms (2%)

explain127.0ms (2.5%)

eval1.0ms (0%)

prune3.0ms (0.1%)

simplify13.0ms (0.3%)

localize70.0ms (1.4%)

series15.0ms (0.3%)

rewrite430.0ms (8.5%)

simplify156.0ms (3.1%)

eval141.0ms (2.8%)

prune48.0ms (0.9%)

simplify19.0ms (0.4%)

localize149.0ms (2.9%)

series168.0ms (3.3%)

rewrite617.0ms (12.1%)

simplify439.0ms (8.6%)

eval99.0ms (1.9%)

prune72.0ms (1.4%)

simplify12.0ms (0.2%)

localize240.0ms (4.7%)

series62.0ms (1.2%)

rewrite168.0ms (3.3%)

simplify293.0ms (5.8%)

eval52.0ms (1%)

prune300.0ms (5.9%)

regimes26.0ms (0.5%)

simplify3.0ms (0.1%)

soundness56.0ms (1.1%)

preprocess58.0ms (1.1%)

end0.0ms (0%)

Profiling