Metrics for sqrt E (should all be same)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

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

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

Operation ival-pow, time spent: 0.0ms, 0.0% of total-time

sample989.0ms (35.4%)

Results

918.0ms	8252×	256	valid
0.0ms	3×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

Operation ival-pow, time spent: 225.0ms, 61.0% of total-time

Operation ival-sqrt, time spent: 70.0ms, 19.0% of total-time

Operation ival-add, time spent: 58.0ms, 16.0% of total-time

Operation const, time spent: 19.0ms, 5.0% of total-time

Bogosity

preprocess363.0ms (13%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-define`
86×	`fma-neg`
56×	`associate-r`
52×	`unsub-neg`
28×	`distribute-rgt-neg-out`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
128	-	3	(3.144264065025971e-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)`

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)

Compiler

Compiled 53 to 39 computations (26.4% saved)

Precisions

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

Operation ival-pow, time spent: 18.0ms, 62.0% of total-time

Operation ival-add, time spent: 5.0ms, 17.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 14.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	54.1%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize59.0ms (2.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	100.0%	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	54.2%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 22 to 15 computations (31.8% saved)

Precisions

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

Operation composed, time spent: 10.0ms, 33.0% of total-time

Operation ival-mult, time spent: 7.0ms, 23.0% of total-time

Operation ival-pow, time spent: 5.0ms, 17.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 13.0% of total-time

Operation ival-add, time spent: 3.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series5.0ms (0.2%)

Counts

3 → 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 (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

9 calls:

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

rewrite320.0ms (11.4%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`unpow-prod-down`
394×	`log-prod`
376×	`cbrt-prod`
318×	`log1p-expm1-u`
318×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	112	42
2	1244	42

Stop Event

1×	node limit

Counts

3 → 175

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)))
(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) (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)))

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

102×	`*-commutative`
86×	`associate-r`
86×	`associate-l`
52×	`exp-prod`
42×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	5643
1	400	5643
2	826	5643

Stop Event

1×

unsound

Counts

199 → 122

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

eval28.0ms (1%)

Compiler: Compiled 1191 to 770 computations (35.3% saved)

prune93.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	120	4	124

Accuracy

100.0%

Counts

124 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
✓	100.0%	(hypot.f64 x x)
▶	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize120.0ms (4.3%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
	100.0%	(hypot.f64 x x)
✓	99.8%	(sqrt.f64 (hypot.f64 x x))
✓	99.2%	(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 43 to 24 computations (44.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

Operation ival-mult, time spent: 41.0ms, 62.0% of total-time

Operation ival-sqrt, time spent: 13.0ms, 20.0% of total-time

Operation composed, time spent: 8.0ms, 12.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

Operation ival-pow, time spent: 2.0ms, 3.0% of total-time

Operation ival-add, time spent: 1.0ms, 2.0% of total-time

series5.0ms (0.2%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite106.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`prod-exp`
722×	`log-prod`
624×	`pow-prod-down`
566×	`log1p-expm1-u`
566×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	211	56
2	2210	56

Stop Event

1×	node limit

Counts

4 → 242

Calls

Call 1

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

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

simplify179.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1282×	`prod-exp`
1018×	`exp-prod`
756×	`distribute-rgt-out`
754×	`fma-neg`
628×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	4692
1	544	4692
2	986	4692
3	2688	4692
4	5304	4692
5	7708	4692

Stop Event

1×	node limit

Counts

290 → 150

Calls

Call 1

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

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

eval37.0ms (1.3%)

Compiler: Compiled 1471 to 920 computations (37.5% saved)

prune20.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	151	4	155

Accuracy

100.0%

Counts

155 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize68.0ms (2.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)
✓	99.5%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))

Compiler

Compiled 22 to 19 computations (13.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

Operation ival-pow, time spent: 24.0ms, 78.0% of total-time

Operation ival-mult, time spent: 6.0ms, 20.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

series58.0ms (2.1%)

Counts

2 → 12

Calls

Call 1

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

Inputs

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

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

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

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	x	@	0	(* (pow 2 1/4) x)
3.0ms	x	@	0	(* (pow 2 1/4) (* (pow 2 1/4) x))
1.0ms	x	@	inf	(* (pow 2 1/4) (* (pow 2 1/4) x))
0.0ms	x	@	-inf	(* (pow 2 1/4) x)
0.0ms	x	@	inf	(* (pow 2 1/4) x)

rewrite70.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`unpow-prod-down`
476×	`log-prod`
464×	`cbrt-prod`
424×	`prod-exp`
359×	`log1p-expm1-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	94	32
2	1065	30

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify98.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1712×	`prod-exp`
1506×	`distribute-lft-in`
1326×	`distribute-rgt-in`
956×	`fma-define`
426×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	124	1174
1	212	1166
2	452	1166
3	1424	1166
4	5597	1166
5	7762	1166

Stop Event

1×	node limit

Counts

54 → 49

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

eval28.0ms (1%)

Compiler: Compiled 565 to 503 computations (11% saved)

prune8.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	49	4	53

Accuracy

100.0%

Counts

53 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 71 to 53 computations (25.4% saved)

regimes20.0ms (0.7%)

Accuracy

Total -29.7b remaining (-152165%)

Threshold costs -29.7b (-152165%)

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

6.0ms	x
6.0ms	(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 17 computations (26.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

Compiler

Compiled 4 to 2 computations (50% saved)

soundness27.0ms (1%)

Rules

114×	`fma-define`
86×	`fma-neg`
56×	`associate-r`
52×	`unsub-neg`
28×	`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

Compiler

Compiled 28 to 15 computations (46.4% saved)

end0.0ms (0%)

preprocess27.0ms (0.9%)

Remove: (abs x)
Compiler: Compiled 42 to 26 computations (38.1% saved)

analyze0.0ms (0%)

sample989.0ms (35.4%)

preprocess363.0ms (13%)

eval0.0ms (0%)

prune1.0ms (0%)

localize59.0ms (2.1%)

series5.0ms (0.2%)

rewrite320.0ms (11.4%)

simplify62.0ms (2.2%)

eval28.0ms (1%)

prune93.0ms (3.3%)

localize120.0ms (4.3%)

series5.0ms (0.2%)

rewrite106.0ms (3.8%)

simplify179.0ms (6.4%)

eval37.0ms (1.3%)

prune20.0ms (0.7%)

localize68.0ms (2.4%)

series58.0ms (2.1%)

rewrite70.0ms (2.5%)

simplify98.0ms (3.5%)

eval28.0ms (1%)

prune8.0ms (0.3%)

regimes20.0ms (0.7%)

simplify2.0ms (0.1%)

soundness27.0ms (1%)

end0.0ms (0%)

preprocess27.0ms (0.9%)

Profiling